WO2010009154A9

WO2010009154A9 - Tracking concentrator employing inverted off-axis optics and method

Info

Publication number: WO2010009154A9
Application number: PCT/US2009/050576
Authority: WO
Inventors: Robert O. Campbell; Michael G. Machado
Original assignee: ZETTASUN Inc
Current assignee: ZETTASUN Inc
Priority date: 2008-07-14
Filing date: 2009-07-14
Publication date: 2011-09-29
Anticipated expiration: 2011-01-14
Also published as: IL210648A0; US20100006088A1; AU2009271018A1; WO2010009154A3; WO2010009154A2; AU2009271018A8; EP2324303A2

Abstract

Solar concentrators are arranged in an array to define an input aperture such that the solar collector is positionable to face the input aperture of the concentrators skyward. An input axis of rotation extends through the aperture in the skyward direction, and a focus region is smaller than the aperture. Each concentrator includes at least one optical arrangement that is supported for rotation about the input axis for tracking the sun within a range of positions of the sun using no more than the rotation of the optical arrangement around the input axis. An optical concentrator is described in which a receiving direction extends at an acute angle from an optical axis and in one azimuthal direction outward from the optical axis such that a component of the concentrator is rotatable about the optical axis for alignment to receive input light. A previously unknown inverted off-axis lens is described.

Description

TRACKING CONCENTRATOR EMPLOYING INVERTED OFF-AXIS OPTICS

AND METHOD

RELATED APPLICATION f 1 The present application claims priority from US Provisional Patent Application serial no. 61/080,554 filed on July 14, 2008, entitled Tracking Concentrator Employing Inverted Off-Axis Optics, which is incorporated herein by reference in its entirety.

OVERVIEW

Solar concentrators are arranged in an array to define an input aperture such that the solar collector is positionable to face the input aperture of the concentrators skyward. An input axis of rotation extends through the aperture in the skyward direction, and a focus region is smaller than the aperture. Each concentrator includes at least one optical arrangement that is supported for rotation about the input axis for tracking the sun within a predetermined range of positions of the sun using no more than the rotation of the optical arrangement around the input axis. An optical concentrator is described in which a receiving direction extends at an acute angle from an optical axis and in one azimuthal direction outward from the optical axis such that a component of the concentrator is rotatable about the optical axis for alignment to receive input light. A previously unknown inverted off-axis lens is described.

BACKGROUND 2 The present disclosure is generally related to collecting and concentrating solar energy and, more particularly, to apparatus and methods for receiving and concentrating light, for example sunlight, for subsequent use as some form of power. f3 Applicants recognize that in the field of solar energy that one of the greatest challenges to overcome is the diffuse or low density nature of the energy from the sun. Roughly, on the Earth's surface, each kilowatt of energy from the sun is spread over 1 square meter of area. Currently, the most common solar technologies use the sunlight directly to convert the incoming solar radiation into heat or electricity. At an energy density of only 1 kilowatt/m², (100 milliwatts/cm²), the energy converter often must cover large areas in order to gather and convert a significant amount of energy. Applicants appreciate that the cost of covering a large area with a traditional energy converter can be prohibitive. For example, traditional photovoltaic panels often utilize large areas of expensive semiconductor materials, and solar-thermal converters often utilize large areas of costly metals. In each of these examples, high costs may often render such installations as impractical at least from the standpoint of cost. 4 One approach to address this problem includes the use of solar concentrators to allow a designer to leverage the energy converter material through the use of relatively low cost reflective or refractive material for focusing solar power to be received by the converter in a more concentrated form as compared to traditional non-concentrating solar collectors. The use of concentrators may reduce the amount of expensive converter material needed in a given application. 5 FIG. l illustrates a diagrammatic elevation view of a conventional concentrating solar collector generally indicated by reference number 10. Solar collector 10 utilizes a parabolic reflector 13 that defines an input aperture having a circular input area with diameter D aligned for receiving solar energy carried by incoming rays sunlight 14. The parabolic reflector is configured for receiving sunlight and focusing the sunlight within a focus region 16 that is substantially smaller than the input area. A receiver 19 is configured for collecting the focused sunlight and for converting it to another form of energy (not shown). For example the receiver could include a photovoltaic (PV) cell for converting the energy directly into electricity, or the receiver could include a solar liquid heater configured for heating water to convert the solar energy into thermal energy. 6 It is noted that concentrators may be constructed using refractive material. For example, a Fresnel lens may be used to reduce the amount of material required. The design and construction of refractive concentrating lenses, including Fresnel lenses, is common practice and is well known to those of ordinary skill in the art. A description of such practices can be found in "Nonimaging Fresnel Lenses: Design and Performance of Solar Concentrators" by Ralf Leutz and Akio Suzuki; published by Springer. 7 Attention is now turned to FIG. 2 with ongoing reference to FIG. l . FIG. 2 illustrates a diagrammatic elevational view of a concentrating solar collector, generally indicated by reference number 20, utilizing a refractive Fresnel lens 23 as a concentrator, having a circular input area with diameter D, aligned for receiving incoming rays of sunlight 14 configured for concentrating the sunlight to a focusing region 16 that is substantially smaller than the input area. As discussed previously with reference to solar collector 10, the focused sunlight is collected by receiver 19 for conversion to a form of energy such as heat or electricity. 8 As will be described at appropriate points hereinafter, Applicants recognize that while conventional concentrators in some cases may be advantageous from a cost standpoint, at least as compared with systems utilizing non-concentrating collectors, they are not entirely without problems. In some applications, the use of concentrating collectors may introduce specific challenges that are unique to concentrating systems. In other some cases the use of concentration may at least exacerbate problems and/or challenges that may be associated with conventional non-concentrating solar collectors such as PV cells.

^9 The foregoing examples of the related art and limitations related therewith are intended to be illustrative and not exclusive. Other limitations of the related art will become apparent to those of ordinary skill in the art upon a reading of the specification and a study of the drawings.

SUMMARY 10 The following embodiments and aspects thereof are described and illustrated in conjunction with systems, tools, and methods which are meant to be exemplary and illustrative, not limiting in scope. In various embodiments, one or more of the above described problems have been reduced or eliminated, while other embodiments are directed to other improvements. 11 In general, a solar collector is described. In one embodiment, one or more solar concentrators are arranged in an array such that each of the concentrators is in a fixed position in the array. Each of the concentrators is configured to define (i) an input aperture having an input area such that the solar collector is positionable to face the input aperture of each concentrator in a skyward direction such that the input aperture is oriented to receive sunlight from the sun, (ii) an input axis of rotation that extends through the aperture in the skyward direction, and (iii) a focus region that is substantially smaller than the aperture area. Each of the concentrators includes an optical assembly having at least one optical arrangement that is supported for rotation about the input axis for tracking the sun within a predetermined range of positions of the sun using no more than the rotation of the optical arrangement around the input axis such that the rotation does not change the direction of the aperture from the skyward direction. Furthermore, for any specific one of the positions within the predetermined range of positions, the optical arrangement is rotatably oriented, as at least part of the tracking, at a corresponding rotational orientation as at least part of concentrating the received sunlight within the focus region, for subsequent collection and use as solar energy. 12 In one feature, the optical arrangement serves as an input arrangement for initially receiving the sunlight, and the optical assembly includes an additional optical arrangement following the input arrangement. The additional arrangement is positioned to accept the sunlight from the input arrangement and is configured for rotation about an additional axis of rotation. The input arrangement and the additional arrangement are configured to cooperate with one another in performing the tracking based at least in part on a predetermined relationship between (i) the rotation of the input arrangement about the input axis of rotation and (ii) rotation of the additional arrangement about the additional axis of rotation to focus the received sunlight into the focus region. l3 In another feature, the input optical arrangement is configured for bending the received sunlight for acceptance by the additional optical arrangement, and the additional optical arrangement is configured for accepting and redirecting the bent light to cause the focusing. 14 In one embodiment of an optical concentrator, an optical assembly includes one or more optical arrangements. One of the optical arrangements is an input optical arrangement, and the optical assembly is configured for defining (i) an input aperture having an input area for receiving a plurality of input light rays, (ii) an optical axis passing through a central region within the input aperture, (iii) a focus region having a surface area that is substantially smaller than the input area and is located at an output position along the optical axis offset from the input aperture such that the optical axis passes through the focus region, and (iv) a receiving direction defined as a vector that is characterized by a predetermined acute receiving angle with respect to the optical axis such that the optical axis and the receiving direction define a plane. The receiving direction extends in one azimuthal direction outward from the optical axis in the plane such that at least the input arrangement is rotatable about the optical axis for alignment of the receiving direction to receive a plurality of input light rays that are each at least approximately anti-parallel with the vector. The optical assembly is further configured for focusing the plurality of input light rays to converge toward the optical axis until reaching the focus region such that the input light is concentrated at the focus region. 15 In one feature, the focus region includes a given area and, for at least some of the input light that is characterized by at least a particular amount of misalignment with the receiving direction, that input light is rejected by falling outside of the given area of the focus region. l6 In an additional feature, the optical assembly includes an additional optical arrangement following the input arrangement, and the input arrangement is configured for bending the received light rays for acceptance by the additional arrangement. In one implementation, the additional arrangement can be a CPC configured to accept the light rays from the input arrangement, and the CPC is configured to cause the focusing. In another implementation, the additional arrangement can be an IOA configured to accept the light rays from the input arrangement, and the IOA is configured to cause the focusing. 17 In one aspect, an inverted off axis lens includes an optical arrangement having an at least generally planar configuration defining (i) a planar input surface having an input surface area and (ii) an axis of rotation that is at least generally perpendicular thereto. The optical arrangement is configured for defining an acceptance direction as a vector that is characterized by a predetermined acute acceptance angle with respect to the axis of rotation such that the axis of rotation and the acceptance direction define a plane. The acceptance direction extends in one fixed azimuthal direction outward from the axis of rotation in the plane such that the optical arrangement is rotatable about the axis for alignment of the acceptance direction to accept a plurality of input light rays that are each at least approximately anti-parallel with the vector. The inverted off axis lens is further configured for transmissively passing the plurality of input light rays through the optical arrangement while focusing the plurality of input light rays to converge toward one another until reaching a focus region that is substantially smaller than the input surface area such that the input light is concentrated at the focus region. 18 In one embodiment of a solar concentrator, the solar concentrator includes the inverted off axis lens arranged in a series relationship following an input optical arrangement with the input surface of the off axis lens facing towards the input arrangement. The inverted off axis lens and the input arrangement are each configured for selective rotation to cooperate with one another such that the input arrangement initially receives the incoming light rays and bends the incoming light rays to produce intermediate light rays for acceptance by the inverted off-axis lens such that the intermediate light rays are at least approximately oriented anti-parallel to the acceptance direction. The inverted off axis lens is aligned for accepting the intermediate light rays such that the intermediate light rays serve as the input light rays for the inverted off axis lens and the inverted off axis lens concentrates the intermediate light rays at the focus region of the inverted off-axis lens. f 19 In one embodiment, the inverted off axis lens is a multi-element inverted off-axis optical assembly including an optical assembly having two or more optical arrangements. One of the optical arrangements is a first arrangement that defines (i) an input aperture having an input area and (ii) an axis of rotation that is at least generally perpendicular thereto. The optical arrangements are configured to cooperate with one another for defining an acceptance direction as a vector that is characterized by a predetermined acute acceptance angle with respect to the axis of rotation such that the axis of rotation and the acceptance direction define a plane. The acceptance direction extends in one azimuthal direction outward from the axis of rotation in the plane, and at least the first arrangement is supported for motion that is limited to rotation about the axis of rotation for alignment of the acceptance direction to accept the plurality of input light rays that are each at least approximately anti parallel with the vector. The optical arrangements are further configured for focusing the plurality of input light rays to converge toward one another until reaching a focus region that is substantially smaller than the input surface area such that the input light is concentrated at the focus region.

^[20 In addition to the exemplary aspects and embodiments described above, further aspects and embodiments will become apparent by reference to the drawings and by study of the following descriptions.

BRIEF DESCRIPTION OF THE DRAWINGS 21 Exemplary embodiments are illustrated in referenced figures of the drawings. It is intended that the embodiments and figures disclosed herein are to be illustrative rather than limiting. 22 FIGURE 1 is a diagrammatic view, in elevation, of a reflection type prior art solar concentrator and its operation.

^[23 FIGURE 2 is a diagrammatic view, in elevation, of a refractive type prior art solar concentrator and its operation. f24 FIGURE 3 is a diagrammatic perspective view, in elevation, of one embodiment of an optical concentrator produced according to the present disclosure, showing components of the concentrator and aspects of its operation. 25 FIGURE 4 is a diagrammatic view, in elevation, illustrating the operation of one example of a conventional off-axis concentrating lens. 26 FIGURE 5 is a diagrammatic perspective view of one embodiment of an Inverted Off-Axis lens (IOA), shown here to illustrate the components of this embodiment of the IOA and its operation with respect to bending and focusing input light. 27 FIGURE 6 is a diagrammatic view, in perspective, shown here to illustrate a number of aspects associated with rotational orientation of the IOA.

^[28 FIGURES 7A and 7B are diagrammatic views, in perspective, showing a single IOA solar collector system oriented for use in the morning and afternoon, respectively, during a given day. 29 FIGURE 8 is a diagrammatic view, in elevation, of one embodiment of a bender shown here to illustrate the operation of the bender with respect to receiving a plurality incoming rays of light.

^[30 FIGURE 9 is a diagrammatic view, in elevation, of one embodiment of a bender shown here to illustrate the three-dimensional nature of the bending action of the bender. 31 FIGURE 10 is a diagrammatic perspective view, shown here to illustrate the operation of a concentrator that is made up of a bender combined with an IOA in accordance with the present disclosure.

^32 FIGURE 1 1 is a diagrammatic view, in elevation, illustrating one embodiment of a Bi- Rotational concentrator or BRIC and its operation in the non-limiting instance of a particular orientation of incoming light. 33 FIGURE 12 is a diagrammatic perspective view illustrating a bender and aspects of its operation with respect to incoming light.

If34 FIGURES 13A and 13B are diagrammatic views each illustrating the field of view of the sky in relation to the sun for different levels of concentration for a given track of the sun in each figure for purposes of comparison. 35 FIGURE 14 is a diagrammatic view, illustrating a field of view that is stretched to advantageously match the sun's path.

¾36 FIGURE 15 is a diagrammatic view, in elevation, illustrating a linear concentrator configuration employing an array of two IOA's configured for receiving input rays of light 14 and concentrating the light along the axis of a linear target. f37 FIGURES 16A and 16B are perspective views of conventional two axis solar collectors, shown here to illustrate details of their structures. f38 FIGURES 17A-C are diagrammatic representations illustrating three different fields of view each of which may be associated with a different type of solar collector or concentrator. 39 FIGURE 18A is a diagrammatic side view, in elevation, showing one embodiment of an array of two concentrators, shown here to illustrate details with respect to the operation of the array. 140 FIGURE 18B is a diagrammatic end view, in elevation, showing the concentrator array embodiment of Figure 18A. 1 FIGURE 18C is a diagrammatic plan view showing the concentrator array embodiment of Figures 18A and 18B. f 2 FIGURE 19A is a diagrammatic side view, in elevation, illustrating one embodiment of a split cell system having four concentrators, shown here to illustrate details with respect to the operation of the system.

¾ 3 FIGURE 19B is a diagrammatic plan view still further illustrating the split cell system of Figure 19A, shown here to illustrate still further details with respect to its operation. FIGURE 20A is a diagrammatic perspective view of a bender according to the present disclosure, showing details with respect to its operation.

145 FIGURE 20B is a diagrammatic perspective view of one embodiment of an IOA according to the present disclosure, showing details with respect to its construction and operation. 46 FIGURES 21 A and 21 B are diagrammatic perspective views showing yet another embodiment of an IOA that may be utilized for shaping of the focus region 7 FIGURE 22A is a diagrammatic perspective view of a refractive arrangement for use with an IOA to further focus a redirected wedge of light. 8 FIGURE 22B is a diagrammatic perspective view of a reflective arrangement for use with an IOA to further focus a redirected wedge of light. 49 FIGURES 23A and 23B are diagrammatic views, in elevation, showing different views of one embodiment of a concentrator taken from orthogonal viewpoints to illustrate details of the operation of the concentrator in different coordinate axis planes for a special case wherein the input light is handled by the concentrator in the planes of these figures.

150 FIGURES 24A and 24B are diagrammatic views, in elevation, showing different views of the concentrator of Figures 23A-23B taken from orthogonal viewpoints to illustrate details of the operation of the concentrator in different coordinate axis planes for an exemplary case in which light enters skewed to the coordinate axes planes. f 51 FIGURE 24C is a diagrammatic plan view of the concentrator of Figures 24A and 24B, illustrating a projection of components of the light onto a horizontal coordinate axis plane after the light enters the concentrator.

552 FIGURE 25A is a diagrammatic view, in elevation, illustrating one embodiment of a bender, shown here to illustrate details with respect to the structure and operation of the bender.

553 FIGURE 2SB is diagrammatic view, in elevation, illustrating the bender of Figure 25A, shown here to illustrate further details with respect to shading which is dependent upon the incidence angle of incoming light. 5 FIGURE 26A is a diagrammatic view, in elevation, illustrating one embodiment of a concentrator in which a multi-element IOA is used.

555 FIGURE 26B is a diagrammatic view, in elevation, illustrating another embodiment of a concentrator which, in this example, utilizes a single element IOA.

556 FIGURE 26C is a diagrammatic view, in elevation illustrating still another embodiment of a concentrator which, in this example, utilizes an input optical arrangement and an additional optical arrangement to cooperate for purposes of causing the input light to be concentrated at a focus region.

557 Figure 27 is a diagrammatic view illustrating coverage of the sky, shown as a rectangle, that is traversed by the sun according to annual and daily variations for a particular bender and IOA. 58 FIGURE 28 illustrates details of the operation of a bender or IOA with respect to certain variations in the configuration of its structure.

559 FIGURES 29A and 29B are further enlarged views which illustrate details of the operation of the bender or IOA of Figure 28 with respect to sidewall slope (Figure 29A) and apex rounding (Figure 29B).

560 FIGURE 30 is a diagrammatic view illustrating coverage of the sky, shown as a rectangle, that is traversed by the sun according to annual and daily variations, shown here to illustrate the effect of variation in prism configuration in terms of loss of the field of view for a particular bender and IOA. 561 FIGURE 31 is a diagrammatic view of the sky that is traversed by the sun showing annual and daily variation in the position of the sun and shown here to illustrate a tradeoff between adding sky coverage in the morning and evening with losing sky coverage for specific days around noon.

562 FIGURE 32 is a diagrammatic view of the sky that is traversed by the sun showing annual and daily variation in the position of the sun and shown here to facilitate a discussion of confined ranges of bender and IOA rotation versus maintaining tracking capability.

563 FIGURE 33A is a diagrammatic elevational view of one embodiment of a concentrator wherein the bender is tilted with respect to an IOA.

564 FIGURE 33B is a diagrammatic plan view of the concentrator of Figure 33 A, shown here to illustrate further details of its structure and operation.

565 FIGURE 34 is a diagrammatic elevational view of another embodiment of a concentrator having a tilted bender wherein the bender and IOA can be controlled by a filament.

566 FIGURE 35 is a diagrammatic elevational view of one embodiment of a concentrator having a bender that is linked through a hub attached with the IOA such that the bender is rotated on the hub.

567 FIGURE 36 is a diagrammatic view, in elevation, of one embodiment of a concentrator showing a ramp method for tilting the bender relative to the IOA.

568 FIGURE 37 is a diagrammatic plan view which illustrates one embodiment of an array of four concentrators that are rotatably coupled with one another through a drive mechanism to cause the benders to co-rotate about their associated axes using a flexible drive member. 69 FIGURE 38 is a diagrammatic plan view which illustrates another embodiment of an array of four concentrators that are rotatably coupled with one another through a drive mechanism to cause the benders to co-rotate about their associated axes using a geared type arrangement.

570 FIGURE 39A is a diagrammatic plan view showing a solar collector constructed as a panel enclosure housing a concentrator array. 1 FIGURE 39B is a diagrammatic elevational view of the solar collector of Figure 39A, shown here to illustrate further details of its structure. 11 FIGURE 40 is a diagrammatic plan view of one embodiment of a concentrator having a bender, an IOA 32, and a concentrating arrangement, shown here to illustrate details of its structure. f73 FIGURE 41 is diagrammatic elevational view of a concentration which utilizes a multielement IOA.

DETAILED DESCRIPTION

†74 The following description is presented to enable one of ordinary skill in the art to make and use the invention and is provided in the context of a patent application and its requirements. Various modifications to the described embodiments will be readily apparent to those skilled in the art and the generic principles taught herein may be applied to other embodiments. Thus, the present invention is not intended to be limited to the embodiment shown, but is to be accorded the widest scope consistent with the principles and features described herein including modifications and equivalents, as defined within the scope of the appended claims. It is noted that the drawings are not to scale and are diagrammatic in nature in a way that is thought to best illustrate features of interest. Descriptive terminology, such as, for example, upper/lower, right left, clockwise and counter-clockwise and the like may be adopted for purposes of enhancing the reader's understanding, with respect to the various views provided in the figures, and is in no way intended to be limiting.

¾75 As described previously in the background section, Applicants recognize that while conventional concentrators in some cases may be advantageous from a cost standpoint, at least as compared with systems utilizing non-concentrating collectors, conventional concentrators are not entirely without problems. In some cases the use of concentrators can exacerbate problems and/or challenges that may be associated with conventional non-concentrating solar collectors such as PV cells. For example, in photovoltaic panels, the efficiency of the PV cells generally decreases with increasing temperature. While this is a common concern in the design of non-concentrating panels heating is of yet greater concern when concentrators are used to increase the incoming light intensity by 10X or 100X or higher, and under these circumstances management of heat-related factors can become a serious challenge. In other cases, the use of concentrating collectors may introduce specific challenges that are commonly associated with concentrating systems. For example, many concentrators require the light to enter with a certain angular accuracy which may require that the concentrator move in order to "track" in relation to a light source such as the sun. Conventional tracking systems can be both costly and complex, and in some cases the cost of a tracking system may substantially undermine cost savings that may otherwise be enabled by the use of concentration. Y76 Applicants describe hereinafter a number of solar collectors including optical concentrators that advantageously utilize internal rotational motion for tracking the light arriving from a movable source and concentrating the light onto a target such as a receiver. The optical concentrators of the present disclosure cause input light to pass through a series of one or more optical arrangements, and typically at least one of the arrangements is supported for rotation. In several examples described hereinafter, at least one of the rotating optical elements can be configured as an inverted off-axis lens arrangement that is configured for rotation as at least part of allowing and/or causing the system to track a moving light source. For example, this disclosure details a number of solar collectors that utilize solar concentrators that are configured to define a receiving direction that is adjustable, for tracking motion of the sun, based on rotational orientation of one or more optical arrangements so that, as the sun changes position, the concentrated light exiting the system can be made to continuously illuminate the receiver.

¾77 Turning now to the figures, wherein like components are designated by like reference numbers whenever practical, attention is now directed to FIG. 3 which is a diagrammatic perspective view, in elevation, of one embodiment, generally indicated by reference number 26, of an optical concentrator including an inverted off axis lens arrangement 32 in a series relationship following an optical bender arrangement 33. This bender arrangement serves as an input arrangement defining an input aperture 31 having an input surface area, and is configured for initially receiving incoming rays of sunlight 14 and for bending the incoming rays of sunlight to produce intermediate light rays 39 for acceptance by inverted off-axis lens arrangement 32 such that the intermediate light rays serve as input rays of light with respect to the IOA (Inverted Off-Axis lens). The inverted off axis lens arrangement transmissively passes the intermediate light rays such that these rays converge towards one another until reaching a focus region 41 that is substantially smaller than the input surface area.

^78 Each of the optical arrangements of optical concentrator 26 can be configured in a relatively flat, thin and generally planar configuration that may be regarded as being analogous to a that of a Fresnel lens, such that the combination of the two arrangements may be implemented in a correspondingly flat and thin shape. Concentrator 26 defines a receiving direction 34 for receiving the incoming rays of sunlight 14 at an input orientation such that the incoming rays of sunlight are anti-parallel therewith, while the bender and the inverted off axis lens arrangement cooperate with one another such that the optical concentrator receives and concentrates the received light onto focus region 41. The bender arrangement and the inverted off axis lens may be closely spaced such that a substantial portion of the intermediate rays of light leaving the bender arrangement will be accepted and concentrated by the inverted off axis lens arrangement. As will be described in detail at appropriate points hereinafter, the optical arrangements including bender arrangement 33 and inverted off-axis lens arrangement 32 can be rotatably oriented relative to one another and with respect to the incoming rays of sunlight, so that the light exiting the bender arrangement enters the inverted off-axis lens at an angle appropriate to cause the inverted off axis lens to accept and concentrate focus the intermediate light rays such that they converge toward one another until reaching focal region 41. As the direction of the incoming rays of sunlight changes, for example as a result of motion of the sun, the two optical elements 32 and 33 can be rotated for tracking the motion of the sun so that a correctly adjusted rotational relationship between them and relative to the incoming rays of sunlight is maintained for concentrated illumination of the focus region. 7 The embodiment of concentrator 26 illustrated in Figure 3 can be referred to as a Bi- Rotational Inverted off-axis Concentrator (BR1C), and in many applications is well suited for use in a fixed or movable solar panel for conversion of sunlight to a form of energy such as thermal or electrical power. Applicants note that in the case of a fixed solar panel, having an array of one or more optical concentrators 26, the sun typically exhibits daily motion relative to panel, for example between sunrise and sunset, as well as seasonal motion, for example from winter to summer. As the sun's position changes with respect to the panel, throughout a given day and throughout seasonal variations, the direction of the incoming rays of sunlight 14 entering the BRIC changes. As will be described in greater detail hereinafter, the BRIC can track this direction change by rotating the bender and the inverted off-axis lens such that they cooperate with one another to continuously adjust the orientation of receiving direction 34 to track the sun for maintaining illumination of focal region 41. It is noted that a receiver 19 may be introduced for converting the focused light into a form of energy. For example a receiving surface of a PV cell may be aligned to overlap the focal region such that a portion of the focused light is converted by the PV cell into electricity.

180 Applicants recognize that in many applications, including a number of solar collection applications, the use of a BRIC in a solar PV panel provides a number of sweeping advantages as compared to conventional solar panels. For example, as described above, a concentrator can be configured such that the focusing and concentrating of incoming rays of sunlight allows for the use of a receiver (such as PV cell) having an area that is substantially smaller than the input area of concentrator. As compared to conventional non-concentrating PV cells, the systems and method for tracking the sun and concentrating sunlight, as described above and hereinafter throughout this application, can be employed for reducing the required surface area of relatively expensive PV cells required for a given application and therefore reduce the cost of a solar collector at least as compared to a conventional panel. Furthermore, the relatively flat and thin shape of a BRIC allows it to be incorporated inside a panel enclosure having a relatively low profile as compared to the profiles typically associated with conventional concentrator systems. This may allow a concentrating solar PV system to be packaged in an enclosure having a shape and size that is based on conventional standards, and solar panels constructed in accordance with this disclosure may be compatible with existing installation infrastructures that have been developed, for example, for the conventional panels including non-concentrating solar PV panels.

¾81 With ongoing reference to FIG. 3, it is again noted that the bender and the inverted off-axis lens of solar concentrator 26 are both supported for rotation. In addition, a receiver 19 may be positioned to provide a receiving surface as a stationary target such that the receiving surface overlaps the focal region, and the receiver may be configured such that at least some of the concentrated light is absorbed by the receiver and converted to a form of energy such as, for example, electrical or thermal power. It is noted that in the context of this disclosure the phrase "stationary target" refers to the fact that the target does not rotate or otherwise move relative to other parts of the panel. If the whole panel is moving to track the sun, then the BRIC will act to concentrate the light on a stationary target attached to the moving panel, and the target may remain stationary relative to the panel enclosure, even in cases where the panel may be in motion. In particular, as one example, an array of one or more solar concentrators 26 may be supported in fixed positions in a supporting structure (such as a solar panel enclosure) and relative to one another, and the bender and the inverted off axis lens may be supported for rotation as described above with reference to FIG. 3, while the receiver may be fixedly supported in relation to its concentrator such that it is not rotated or otherwise moved at least with respect to the supporting structure. f82 It is noted, as will be described in greater detail immediately hereinafter, that the optical properties of inverted off-axis lens 32 differs substantially as compared to the optical properties of conventional off-axis lenses.

¾83 Attention is now directed to FIG. 4 which is a diagrammatic view in elevation illustrating the operation of one example of a conventional off-axis concentrating lens 44, which can be implemented in a number of configurations including but not limited to (i) a continuous surface lens or (ii) as a Fresnel lens. In this example lens 44 is configured to define an optical axis 47, and to receive input rays of collimated light 45 such that the collimated light enters lens 44 in a parallel orientation with optical axis 47. Off-axis lens 44 is further configured to focus the light onto an off-axis focus region 41 that is in an off-axis location such that the focus region does not lie on optical axis 47. It is noted that based on well known conventions, the designation of this lens as an "off-axis" lens is premised on off-axis positioning of the focal region as illustrated in FIG. 4.

58 It is further noted with reference to FIG. 4 and for purposes of the remainder of this application, the term "optical axis" refers to an at least generally central path along which light tends to propagate through an optical system. In many conventional optical systems, such as imaging systems, an optical axis may be defined as a line through space around which the system is rotationally symmetric. This is not necessarily the case in the examples discussed throughout this disclosure, and it is further noted that in order to perform their intended functions as described herein, both benders as well as inverted off axis lenses generally can be configured in a physically asymmetric manner at least with regard to specific structural and/or optical material properties. In this regard, it may be appreciated by one of ordinary skill in the art that an optical axis of either a bender or an inverted off axis lens can be associated with optical properties of the arrangement and may not necessarily be defined based on any apparent physical symmetry, incidental or otherwise. Returning to discussions regarding nomenclature, it is noted that the term 'lens' will refer, hereinafter and throughout this disclosure, to an optical arrangement that can modify the light rays as they pass through the element . The modification, including bending of the direction of the light, may or may not be uniform over the surface of a given lens. Furthermore the modification of light by a given lens may also affect the convergence or divergence of the rays as the rays transmissively pass through the lens . 85 As will be described in detail immediately hereinafter, an inverted off-axis lens defines an optical axis and is configured such that a focal region of the inverted off-axis lens is on the optical axis while the incoming light is entering in an off-axis orientation. In particular, an inverted off-axis lens is configured to accept incoming light at an angle relative to the optical axis. Based on designations presented herein and used throughout the remainder of this application, the use of the term "inverted" refers to an inversion of the functional operation of an inverted off-axis lens as compared with a conventional off-axis lens.

586 Summarizing with respect to the discussion above, a conventional off-axis lens is configured to accept incoming light that is on-axis while the focal region is generally positioned at an off-axis location. By contrast, an inverted off-axis lens is configured to accept incoming light that is incident at a skewed angle with respect to the optical axis, and the focal region is located on the axis. 187 It is noted that the term 'Inverted Off-Axis lens' may be referred to throughout this overall disclosure and in the appended claims by the acronym ΊΟΑ'. With respect to this nomenclature, it is further noted that the IOA may be an individual lens, consisting of one optical element, or it may be configured as an optical arrangement having two or more optical elements and/or components.

188 Resuming the discussion, the focal region of an IOA may be positioned along the optical axis such that the incoming light arrives at an angle and is then bent and focused into focus region 41. As described above, and as will be described in greater detail immediately hereinafter, an IOA may be regarded as performing two optical functions: (i) bending the incoming light to direct the light along the optical axis and towards the focal region, and (ii) focusing the light for convergence onto the focal region.

189 Attention is now directed to FIG. S, which is a diagrammatic perspective view illustrating bending and focusing properties of one embodiment of IOA 32. The IOA defines an input surface 54, having an input surface area, and is configured for accepting a plurality of parallel input rays 56, and for bending and focusing the plurality of input light rays onto focal region 41. The IOA is further configured for defining an acceptance direction 57 represented in FIG. 5 as a vector A that extends outward from the optical axis in one fixed azimuthal direction having a fixed orientation with respect to the IOA such that the optical axis and the vector define a plane. The IOA is rotatable for orientation of acceptance direction 57 to accept the plurality of input light rays such that the rays are each at least approximately anti-parallel with the acceptance direction 57, and the IOA is yet further configured for transmissively passing the plurality of input light rays while focusing the light rays to converge toward one another until reaching a focus region that is substantially smaller than the input surface area.

190 While certain aspects of the immediately following points are to be discussed in further detail hereinafter, it is to be understood that (i) input rays of light 56 entering the IOA in the direction that is at least approximately anti-parallel to the acceptance direction are directed to the focal region, (ii) the acceptance direction 57 is a physical characteristic of the IOA that is structurally defined by the IOA itself, and (iii) any misaligned input rays of light (not shown), entering the IOA in a substantially misaligned direction that is sufficiently skewed with respect to the acceptance direction, will be redirected by the IOA to diverge away from the optical axis such that they pass outside of the focal region, and increased misalignment will generally result in correspondingly increased divergence of the bent light way from the focus region. 91 With ongoing reference to FIG.S, it is noted that there are significant functional differences between the focal length of an IOA as compared to a conventional focal length associated with a conventional lens, and that for a conventional lens having a focal length, collimated light typically must enter the lens parallel to an optical axis of the lens in order to be directed to a focal region that is removed from the lens by a distance corresponding to the focal length. In cases where the light enters the conventional lens at an angle that is skewed relative to the optical axis of the conventional lens, the light will be typically directed off axis and away from the focal region. By contrast, the IOA accepts collimated light at a skewed angle relative to the optical axis, and directs the light towards a focal region that is located along the optical axis. Applicants recognize, as will be described in greater detail hereinafter, that at least for use in solar concentrators, the inverted off axis characteristics of the IOA, as described immediately above and throughout the disclosure, results in a number of sweeping advantages at least with respect to applications relating to solar collectors having solar concentrators that include one or more IOAs.

¾92 It should be appreciated by a person of ordinary skill in the art, having this overall disclosure in hand, that the presence of a unique acceptance direction, in accordance with the immediately foregoing descriptions, implies that there is at least some kind of rotational asymmetry that should be inherently present in the physical structure and/or material properties of the IOA, and in an absence of this form of asymmetry in the structure of the IOA, it is not reasonably possible for the IOA to define a distinct acceptance vector in a manner consistent with the descriptions herein. For example, in one embodiment that will be described in detail at appropriate points hereinafter, the IOA may include prisms that are integrally formed therewith, and the prisms may be oriented in parallel with one another along a reference direction (not show in FIG. 3) and configured to cause the aforementioned bending of the input rays of light. Prisms oriented in this manner provide one example for satisfying the requirement for rotational asymmetry in the IOA.

¾ 3 While acceptance direction 57 (represented in FIGS. 5 as vector A ) is defined by structural and/or optical properties of the IOA, and therefore remains fixed in the frame of reference of the IOA, it is to be understood that relative to earth's frame of reference the acceptance direction only changes if and when the IOA itself changes position. For example, when the IOA is rotated, the acceptance direction rotates accordingly to sweepingly define a surface of a cone, as will be described immediately hereinafter. In view of the immediately foregoing points, and for purposes of descriptive clarity, it is useful to define an appropriate set of coordinates for describing the acceptance direction as the IOA changes position, rotatably or otherwise. In this regard, it is to be understood that the acceptance direction of the IOA can be regarded as a 3D (three dimensional) vector in the context of conventional three dimensional space. In accordance with well known principles of analytic geometry, any 3D vector that is solely utilized for describing a direction in space can be designated to have an arbitrary magnitude (most commonly 1 , or "unity") and can be henceforth designated using only two angular coordinates. The acceptance direction of an IOA can be represented in accordance with the standard practices with a fixed zenith angle ξ (the angle between vector A and the optical axis), and a fixed direction relative to the IOA represented in FIG. 5 as vector D which is a projection 64 of vector A onto input surface 34. Using this system of coordinates in accordance with the foregoing conventions, acceptance direction 57 (represented in FIG. S as vector^ ) maintains the aforedescribed constant magnitude of unity and the aforedescribed constant angle ξ. It is therefore clear that as long as optical axis 47 remains fixed, the orientation in space of acceptance direction 57, rotatably changing or not, can be fully specified by angle φ with respect to reference axis 61. Since the acceptance direction 57 is itself fixed with respect to the frame of reference of the IOA, then it is equally appropriate to describe the rotational orientation of the IOA according to the same nomenclature, and the statement that the IOA is azimuthally oriented with angle φ can be reasonably considered as being synonymous with a statement that the acceptance direction is azimuthally oriented with angle φ. 4 It is further noted that the projection 64 (designated in FIG. 5 as vector D) of acceptance direction 57 onto IOA surface 54 is also fixed with respect to the IOA, and is also oriented at angle φ relative to reference direction 61. As one additional aspect of nomenclature that may be used throughout this disclosure, projection 64 is to be considered as a direction through space in which the IOA is "pointing". Carrying this terminology one step further, in order for the IOA to accept input rays of light 56, for bending and concentrating, IOA 32 is pointed in an opposing orientation as compared to the input rays of light such that a projection of the input rays (not shown) onto surface 54 is anti-parallel with projection 64 (represented in FIG. 5 as vector D).

1 5 There are two conditions that can be met in order for input rays 56 to be aligned anti-parallel with acceptance vector 57 thereby causing the IOA to accept the input rays of light for bending and concentrating onto focus region 41, and these two conditions may at times be designated hereinafter and throughout this disclosure according to the following shorthand notation: (i) the IOA is rotatably oriented to be pointed towards the input rays of light, and (ii) the input rays of light enter the IOA at the zenith angle ξ of the IOA. Foreshortening the terminology yet further, for use in subsequent descriptions, input rays of light 56 and IOA 32 may be regarded as being "aligned with one another" at times when these conditions are met, and hereinafter throughout this disclosure a statement that the IOA and the input rays of light are aligned with one another is to be interpreted as stating that these two conditions have been met at least to a reasonable approximation. For purposes of further clarification, it is noted that a statement that the IOA is pointed towards the input rays of light, is only to be interpreted as stating that the first of the two conditions has been met, and under these circumstances, the IOA and the input rays may or may not be aligned with one another. For purposes of descriptive clarity, two examples resulting in misalignment will be discussed immediately hereinafter.

¾96 As a first example (not shown) resulting in misalignment, if the IOA were to be rotated away from the appropriate rotational orientation that is illustrated in FIG. S, than the input rays of light and the acceptance angle would become skewed relative to one another, thus resulting in a misaligned condition such that the IOA and the input rays of light are not aligned with one another. 7 As another example resulting in misalignment, if the IOA in FIG. S were to be tilted, for example by pivoting the IOA about reference direction 61 , a sufficiently large tilt would result in a mismatch (not shown) between the acceptance direction and the input rays of light, and input rays of light and the acceptance direction would be correspondingly skewed with respect to one another, resulting in yet another condition such that the IOA and the input rays are misaligned relative to one another.

^ 8 Attention is now turned to FIG. 6 with ongoing reference to FIG. 5, the former of which is a diagrammatic perspective view of IOA 32 illustrating a number of aspects associated with rotational orientation of the IOA. As described above in reference to FIG. 5, the acceptance direction (represented in FIG. 5 as vector A ) is defined by the IOA based on structural and/or optical material properties of the IOA, and therefore acceptance direction 57 remains stationary in a frame of reference of the IOA. Therefore, as the IOA is rotated about its axis of rotation, the acceptance direction may be regarded as sweeping a surface 60 of a cone, indicated in FIG. 6 with dotted lines and hereinafter referred to as an acceptance cone, associated with the IOA. As will be described immediately hereinafter, the acceptance cone serves as a conceptual and/or visual aid that will be referenced hereinafter in the context of descriptions relating to performance of the IOA especially in regard to cooperation between the IOA and other optical arrangements. Employing terminology that is consistent with the description of FIG. 5, it is to be understood that any input ray of light 56 propagating toward the IOA, and having a direction that lies on the surface 60 of the acceptance cone, can be accepted by the IOA for bending and focusing, provided that the IOA is rotated to an appropriate rotational orientation for accepting that ray. In other words, adopting the shorthand terminology set used previously in reference to FIG. 5, if (i) the input ray of light 56 lies on the acceptance cone of the IOA, and (ii) the IOA is rotatably oriented such that the IOA is pointed toward the incoming rays light, then the IOA is appropriately oriented to accept and concentrate the input rays of light. By contrast, any misaligned ray that has a substantially different direction that does not at least approximately lie on the acceptance cone will be misaligned with the IOA regardless of the specific rotational orientation of the IOA.

† 9 As described above in reference to FIG. 5, the acceptance direction, remains fixed with respect to the IOA, and motion of the IOA that is restricted to rotation about one axis (such as the optical axis of the IOA) can be described in the earth's frame of reference and based on well- established conventions of analytic geometry, with a zenith angle (represented in FIGS. 5 and 6 as ξ) and azimuth angle φ. As described previously, in cases where the motion of a given IOA is solely limited to rotation about the optical axis of the IOA, the zenith angle ξ remains fixed with respect to the IOA even while the IOA rotates, and therefore the acceptance cone is characterized by zenith angle ξ. 100 As described above in reference to FIG. 3, and as will be described in greater detail at various points throughout the remainder of this disclosure, Applicants recognize that IOA 32 can be combined with additional optical arrangements for continuously tracking the sun throughout much of the day in a highly advantageous manner that is limited to rotation of the optical arrangements. It is noted however, that the mere use of an IOA does not in itself insure the existence of a continuous tracking capability, and that a single IOA configured solely for rotational motion while being held in an otherwise fixed orientation, cannot be utilized by itself (in an absence of additional optical arrangements) for tracking the sun continuously throughout the day. Nevertheless, for purposes of enhancing the readers understanding, the use of a single IOA will be described below, in the context of a solar collector system.

1101 Attention is now directed to FIGS. 7A and 7B, which are diagrammatic perspective views depicting a single IOA solar collector system 80 positioned for use at two different times (morning and afternoon) during a given day. The solar collector illustrated in FIGS. 7A and 7B is in a fixed position, with a fixed alignment, and includes an IOA 32 supported for rotation about an optical axis 47. The IOA acts as a solar concentrator and is configured such that input surface 54 of the IOA defines an input aperture having an input area such that the solar collector is positionable such that the input aperture faces in a skyward direction such that the input aperture is oriented to receive sunlight from the sun (the sun being indicated by reference number 73). The solar concentrator is further configured to define optical axis 47 as extending through the aperture in the skyward direction, and the solar concentrator is yet further configured to define a focus region 41 that is substantially smaller than the aperture area. The solar collector is in a fixed position with fixed alignment, and for each of the morning and afternoon positions, as will be described in detail immediately hereinafter, the IOA can be rotatably oriented for receiving and concentrating received rays of sunlight 14. 102 As described above, concentrator 80 is configured such that rotation of the IOA lens about axis 47 rotates acceptance direction 37 thereby pointing the IOA in varying directions. FIGS. 7A and 7B illustrate this principle by depicting a single concentrating IOA lens being utilized as a solar concentrator. However, it is noted that this solar concentrator functions ideally only twice per day: once in the morning and once in the afternoon, as illustrated in FIGS 7A and 7B and as will be described immediately hereinafter.

5103 During the morning the solar concentrator will function properly only at a particular time of the morning when the morning sun is at a position 86 such that the rays of sunlight 14 are aligned anti-parallel with acceptance direction 57, at which time IOA 32 bends and focuses the rays sunlight toward focal region 41. At other times during the morning, the IOA can be pointed towards the incoming rays of sunlight, but the incoming rays of sunlight at these other times nevertheless do not enter the IOA at the zenith angle ξ of the IOA, and therefore the IOA is misaligned with respect to the incoming rays of sunlight. 104 Similarly, during the afternoon, the solar concentrator will function properly only at a particular time of the afternoon when the afternoon sun is at a position 86' such that the incoming rays of sunlight 14 are aligned anti-parallel with acceptance direction 57, at which time IOA 51 bends and focuses the rays sunlight toward focal region 41. At other times during the afternoon, the IOA can be pointed towards the incoming rays of sunlight, but the incoming rays of sunlight at these other times nevertheless do not enter the IAO at the zenith angle ξ of the IOA.

5105 It is noted that single IOA tracker 80 can be used successfully, for continuously tracking the sun throughout a substantial portion of the day, only when utilized with an additional I - or 2- axis tracking system. One example of such an arrangement, to be described in detail in a subsequent portion of this disclosure, is a solar panel enclosure supporting an array of one or more single-IOA trackers 80 (each tracker has one single IOA) each of which trackers is attached to an external mechanical tracker mechanism. In many conventional applications, a mechanical tracker mechanism may be configured to move a conventional solar panel for continuously pointing the panel such that the panel faces directly towards the sun. In the arrangement under discussion, having an array of single-IOA concentrators, a mechanical tracker may be configured for facing the panel toward the sun within a predetermined tolerance based on the bend angle of the IOA, and the IOA can be rotated to correct for any mechanical misalignment associated with the mechanical tracker.

1106 Having described the basic operating principles of an IOA, and having illustrated the use of a single-IOA solar concentrator having only limited tracking abilities, the description is now directed to optical properties and operating principles relating to an optical arrangement that is configured as a bender. It is first noted that a bender may be considered as being perhaps somewhat analogous to an IOA to the extent that a bender shares certain characteristics that are at least loosely analogous with associated characteristics of an IOA. For example, as one analogous characteristic, a bender receives incoming rays of light and redirects the incoming rays by bending the rays through a given angle and in a given direction with respect the bender and relative to the incoming rays, such that the bender redirects the incoming rays of light in a way that changes depending on the rotational orientation of the bender relative to an orientation of the incoming rays of light. It is noted however that a bender is not configured to cause any focusing of the incoming rays of light. Hence the name "bender". In this regard, a bender may perhaps be considered as somewhat analogous to a limited special case of a uniquely specified IOA-like device that has an infinite focal length. While this consideration is regarded by Applicants as being more or less a curiosity, the analogy may be nevertheless useful for illustrative and descriptive purposes at least for helping to establish consistent terminology for distinguishing benders from IOA's while putting forth various descriptions relating to cooperation between these two distinct classes of arrangements.

5107 Having introduced a number of general considerations relating to benders, attention is now directed to FIG. 8 which is a diagrammatic perspective view illustrating the operation of a bender 33 as it receives a plurality incoming rays of light 14. As depicted in FIG.8, and as will be described in greater detail hereinafter, all of the rays of light are parallel with one another, and bender 33 bends the rays in a way that may depend in part on the rotational orientation of the bender with respect to the incoming rays of light. Furthermore, unlike the IOA, the amount and direction of bending typically does not depend on where a given ray strikes the bender, and therefore each one of the plurality of incoming parallel rays of light is bent in the same way as the others such that the bender produces a plurality of output rays of light 92 that are all parallel with one another.

5108 It is noted, as described immediately above, that the parallel relationship between the incoming rays of light is maintained during the bending, regardless of the rotational orientation of the bender, at least in part because (i) the incoming rays of light are all parallel with one another, and (ii) the incoming rays of light are all bent in the same way.

1109 It will be appreciated by one of ordinary skill in the art that while the bender may be configured to have a rotationally symmetric overall shape, such as a circular shape as depicted in FIG. 8, the bending performance requires that there should be some functional form of asymmetry with respect to rotation about an optical axis 47 of the bender. As was the case regarding lOAs this asymmetry may be structural in nature (for example if the bender is configured using prisms) or the asymmetry may relate to optical properties of materials that are utilized within the bender. In view of these considerations regarding asymmetry, the rotational orientation of the bender can be characterized and described utilizing similar conventions and terminology established previously for specifying rotational orientation of lOA's.

1110 As described immediately above, Bender 33 is configured to exhibit different bending performance depending on the orientation of the bender with respect to the incoming rays of light. In this regard, it is useful to establish a bender direction 93 as a reference direction that can be associated with the bender as illustrated in FIG. 8 as a vector B. Once established and defined for a given bender, the bender direction is to be regarded as being fixed with respect to the bender such that the bender direction can serve as a reasonable reference for describing the orientation of the bender with respect to the incoming rays of light and with respect to the earths frame of reference. In view of the immediately forgoing description regarding asymmetry of the bender, and consistent with the disclosure as a whole, a person of ordinary skill in the art will readily appreciate that it is helpful at least for purpose of descriptive clarity to establish some form of reference feature, in this case bender direction 93, as a reasonable basis for specifying the orientation of the bender. 111 Since bender direction 93 remains fixed with respect to the bender, it is clear that any rotation of the bender results in a corresponding change of direction of bender direction 93, as illustrated in FIG. 8 by an angle p between the bender direction and a spatial coordinate axis 61. It is noted that coordinate axis 61 is to be regarded as being fixed in space, for example in the earth's frame of reference. In other words, as bender 33 rotates about optical axis 47, the rotational orientation changes in a way that can be specified as a changing value of angle p relative to the spatially fixed axis 61. In this regard, the angle p can be used to specify the bender direction relative to the optical axis of the bender. For descriptive purposes, certain aspects of the foreshortened terminology defined for IOAs will also be adopted for use in describing benders. In particular, the bender direction may be regarded as the direction the bender is "pointing". Furthermore, for a given plurality of parallel incoming rays of light, and in terms of previously established nomenclature, the bender can be considered as "pointing toward" the light. In this regard, the bender is pointing toward the light if a projection of the light onto the surface of the bender is collinear with the bender direction. Furthermore, as will be described in greater detail hereinafter, when the bender is pointing towards the light in this manner, the bender performs in such a manner that the bent light is bent by an angle β and remains in a plane defined by incoming ray of light 14 and bender direction 93. Additionally, at times when these conditions apply with respect to incoming rays of sunlight, then the bender may be considered as pointing toward the sun. 112 Attention is now directed to FIG. 9 in conjunction with FIG. 8. FIG. 9 is a diagrammatic elevational view illustrating the 3D nature of the bending action of bender 33. An incoming ray of light 14 encounters the bender at a point 101 and is bent in a way that depends on the rotational orientation of the bender, as will be described immediately hereinafter. 113 In a First orientation wherein the bender is rotated about optical axis 47 so that the bender direction 93 points away from the incoming light, as illustrated in FIG. 9, the incoming ray of light 14 is redirected to produce an output ray of light 92 that is bent by a bending angle 104 relative to an axis 105 that is a collinear extension of input ray of light 14. 11 In a second orientation of the bender wherein the bender is rotatatably oriented about axis 47 such that bender direction 93' points toward the incoming light, as illustrated in FIG. 9, the incoming ray of light 14 is redirected to produce an output ray of light 92' that is bent by bending angle 104', between output ray 92' and axis 103, having the same angular value as angle 104 but corresponding to a different orientation as compared to that of output ray 92. In other words, based on the two different orientations of the bender with respect to the incoming ray of light, output ray 92 and 92' are bent by the same amount but in opposite directions. It is noted that in these cases the direction of bending differs, but the amount of bending corresponds to the bending angle p. fl 15 In a third orientation the bender is rotated by ninety degrees with respect to both of the first and second orientations such that the bender direction (not shown) points out of the plane defined by the figure. With this orientation of the bender the incoming ray of light 14 is redirected to produce an output ray of light 92" that is bent by a bending angle 104", between output ray 92" and axis 10S, also having the same angular value as angle 104 but corresponding to a different orientation as compared to both of output rays 92 and 92". It is noted that magnitudes of the bending angles 104, 104' and 104" all have the value β corresponding to the bending angle of the bender. 11 In a manner that is consistent with the foregoing three examples, rotation of the bender whilst maintaining incoming ray 14 in a fixed direction as illustrated in FIG. 8 causes the output ray of light 92 to sweep out the surface of an exit cone 1 18 such that the surface is defined as having the angle 104 with respect to axis 105.

5117 With ongoing reference to FIGS. 8 and 9 it was generally assumed, for purposes of descriptive clarity, that the amount of bending relative to axis 105 remained constant and independent of the angle at which light enters the bender. This assumption can be invalid. For example, if the first bender is implemented using refractive optics, then the nonlinear nature of Snell's law can make the bending angle a function of the light ray entry angle and direction. The system still can still function, however. The non-constant nature of bending angle β warps or otherwise distorts the shape of the exit cone of the first bender optical element at least to some extent. For purposes of clarifying the foregoing point, it is again noted that in an ideal bender, that does not have a distorted exit cone, angles 104,104', and 104" all have the same value β corresponding to the bending angle of the bender. On the other hand, in the case of a non-ideal bender with a warped exit cone, these angles may differ somewhat from one another. This may add a certain degree of complexity to predictive calculations required to determine where the exit and acceptance cones intersect, and but the same basic principles are still in play, since even a substantially warped and or distorted surface still bears substantial resemblance to that of a cone. 1 IS Having initially introduced concentrator 26 with reference to FIG. 3, and having described the basic operating principles of an IOA, with reference to FIGS. 5 and 6, and of a bender, with reference to FIGS. 8 and 9, various aspects of the foregoing descriptions relating to concentrator 26 will be re-introduced immediately hereinafter in order to combine, clarify and expand upon various details relating to the operation of concentrator 26.

5119 Referring again to FIG.3, and summarizing with respect to operation of solar concentrator 26, based in part on terminology set forth in the descriptions relating to FIGS. 5-9, optical concentrator 26 includes IOA 32 in a series relationship following a bender arrangement 33 with input surface 39 of the IOA facing towards the bender arrangement. IOA 32 and bender 33 are each configured for selective rotation to cooperate with one another such that the bender arrangement initially receives incoming rays of sunlight 14 and bends the incoming rays of sunlight, in a manner that is consistent with the descriptions in reference to FIGS. 8 and 9, to produce intermediate light rays 39 for acceptance by the IOA such that the intermediate light rays can be at least approximately oriented anti-parallel to the acceptance direction of the IOA. In one embodiment, the bender arrangement receives and bends the incoming rays to change their direction without causing any focusing of the incoming light rays, and in accordance with the descriptions relating to FIGS. 8 and 9, the bender may be rotatably oriented, at least with respect to the incoming rays of light, to bend the incoming rays of light such that the resulting intermediate rays of light have a direction that is aligned with the surface of the acceptance cone of the IOA, and the IOA can be rotatably oriented for accepting and concnetrating the intermediate rays of light. In all cases, at least for a predetermined range of orientations of input rays of light 14, the bender arrangement (or some other input element) and the IOA cooperate with one another such that the bender is rotatably aligned in an orientation that allows the intermediate rays to serve as input rays 56 of the IOA (FIG. S), and the IOA is rotatably oriented to accept the intermediate light rays (as input rays) and concentrate the intermediate light rays at focus region 41 in a manner that is consistent with the descriptions of an IOA appearing above with reference to FIGS. 5 and 6. In other words, the input element (for example, a bender) and the IOA can be rotatably oriented, with respect to one another and with respect to the input rays of sunlight, to cooperate with one another such that the intermediate light rays 39 are aligned to be at least approximately oriented anti-parallel to the acceptance direction of the IOA. 120 Based on the forgoing descriptions in conjunction with the disclosure taken as a whole, it may be appreciated that for a bender-IOA combination to serve as a concentrator for properly tracking the sun over a predetermined range of positions, such as, for example, a given range of positions corresponding with apparent motion of the sun throughout a given day, the aforementioned cooperation, between a bender arrangement and the IOA, can be reasonably achieved provided that the bender and the IOA are configured at least generally in accordance with the criterion that follow below.

1121 Based in part on the descriptions relating to FIGS. 8 and 9 in conjunction with FIG. 3, for a given incoming ray of light that is received through an input aperture defined by bender 33 and incident on the input surface thereof, rotating of the bender about it's associated optical axis causes the resulting output ray of light to sweepingly define an exit cone such that for a given rotational orientation of the bender, the incoming ray of light is bent to produce an output ray of light that radiates away from a point of incidence of the incoming ray of light, and radiates away from the bender such that the output ray of light lies on the surface of the exit cone. As described previously in reference to FIG. 9, for a given incoming ray of light the corresponding exit cone of the bender at least approximately delineates the range of bending directions that may be selected, for a given input ray of light, by selectively rotating the bender. 122 It is to be understood that in the context of concentrator 26, output ray 92 of FIG. 9, produced by the bender from the incoming ray of light, is to be regarded as corresponding to intermediate ray 39 of FIG. 3, and as described previously, the intermediate ray in turn serves as the input ray of light for IOA 32 of FIG. 5. Combining and appropriately interpreting the descriptions and terminology relating to FIG. 3, FIG. 9, and FIG. 5, it should be appreciated that the output ray produced by the bender serves in the context of IOA 32 as the input ray that is to be accepted for bending and focusing by the IOA. 123 Considering now FIGS. 5 and 6 in the context of the immediately foregoing points, it will be appreciated by a person of ordinary skill in the art that in order for the IOA to accept and focus the output ray of light from bender 33, it is necessary that (i) the output ray of light from the bender lies on the acceptance cone of the IOA within some approximations, and (ii) the IOA may be rotatably oriented such that the acceptance direction is oriented to be anti-parallel with the output ray of light from the bender within some approximation. 124 Attention is now turned to FIG. 10 the combined operation of a concentrator comprising a bender combined with an IOA as illustrated. FIG. 10 illustrates one embodiment of a bender-IOA concentrator generally indicated by reference number 26' and configured such that the bender and the IOA cooperate with one another in the manner set forth previously. In order for concentrator 26' to track the sun over a predetermined range of positions, throughout a portion of the day and/or including seasonal variations, bender 33 and IOA 32 are configured for compatibility with one another such that for each anticipated orientation of incoming rays of sunlight 14 (i) the associated exit cone of the bender intersects the acceptance cone of the IOA along a line of intersection 104 that extends from the bender to the IOA, (ii) the bender is rotatably oriented such that the output ray of the bender is coliinear with the line of intersection at least to an approximation, and (iii) the IOA is rotatably oriented such that the acceptance direction of the IOA is coliinear with the line of intersection 104 and therefore is anti-parallel with the output ray of light from the bender at least to an approximation. With the bender and the IOA selectively rotated for cooperating with one another in the manner set forth immediately above, the output ray of light from the bender serves as the input ray of light for the IOA, and the IOA bends and focuses this input ray of light for passage to focus region 41. 12s It is noted that as the sun changes position, the orientation of the incoming rays of sunlight changes and therefore the exit cone of the bender shifts and/or changes correspondingly, and the optical source can be tracked during these changes only for as long as the line of intersection is actually present between the two cones, and the tracking is achieved by adjusting the rotational orientations of the bender-IOA combination such that they cooperate with one another for receiving and concentrating the incoming rays of sunlight in the manner set forth above with reference to FIG.10. In view of the foregoing point, it can be appreciated by a person of ordinary skill in the art that for a given position of the sun, the aforedescribed cooperation between the bender and the IOA can be achieved only insofar as the exit cone (of the bender) and the acceptance cone (of the IOA) overlap one another such that a line of intersection is present, and for each orientation of the incoming rays of light, corresponding throughout the day to the given position of the sun, this requirement for a line of intersection between the two cones represents a criterion that should be satisfied in order for the solar collector to concentrate the incoming rays of sunlight. It will be further appreciated that for a given day, at a particular geographic location, and at a given time of the year and a given view of the sky available to the concentrator, this criterion may in some cases set practical limits as to what range of sun positions during the day will produce light that can be tracked by the concentrator.

¾126 For further explanatory purposes, one example illustrative of a special case in which the relationships between various parameters are somewhat simplified as compared to more general cases will now be described. For simplicity, it will be assumed that for a given bender-IOA combination, all focus action is performed by the IOA, and that the bender serves only to bend the light by a particular bending angle β. For additional simplicity, it will be assumed in this example that the bending angle β is equal to the zenith angle ξ defined by the IOA.

¾127 Attention is now directed to FIG. 1 1 which is illustrative of the special case under consideration. Figure 1 1 is a diagrammatic view, in elevation, depicting one embodiment as a special case of a Bi-Rotational concentrator or BR1C generally indicated by reference number 109. For purposes of descriptive clarity it is noted that the view of FIG. 1 1 is taken in a plane that bisects the assembly such that optical axis 47 lies in the plane as shown. 128 Bender 33 and an IOA 32 are configured for rotation around optical axis 47. Furthermore, in the example at hand, the bender and the IOA are specifically matched with one another such that the IOA is configured with an acceptance direction (fixed with respect to the IOA) characterized in part by a acceptance angle ξ (the zenith angle of the acceptance direction relative to the optical axis) having a value equal to the bending angle β of the bender such that ξ = β· Furthermore, the incoming rays of light 14 lie in the bisecting plane and are oriented to enter the system at a receiving angle 2-β, (twice the IOA zenith angle β), relative to the optical axis 47. It is noted that for purposes of illustrative clarity the description with reference to FIG. 1 1 will initially be restricted to consideration of incoming rays of light 14 that lie in the plane of the cross section.

112 Bender 33 is configured, based on a particular design configuration that will be presented in detail hereinafter, such that the bending angle may be at least approximately constant regardless of the angle of the arriving light rays. The bender is rotatably oriented to be pointed towards the incoming light such that bender direction 93 of the bender lies in the bisecting plane and the bender receives the incoming rays of sunlight and bends these rays by a bending angle β having a magnitude equal to the zenith angle ξ of lOA 91 thereby producing intermediate rays of light 39 that lie in the bisecting plane and which are tilted with respect to the optical axis by angle β to match the zenith angle (ξ= β for the example at hand) defined by IOA 32.

^130 IOA 32 is positioned and rotatably oriented such that the acceptance direction 57 (represented by vector A ) lies in the bisecting plane and is anti-parallel with respect to the intermediate rays of light such that the IOA bends and focuses the intermediate rays of light for concentration at a focal region 41 of the IOA. 13\ While the foregoing description with respect to FIG. 1 1 has been restricted to a particular set incoming rays of light that lie in the bisecting plane, it is noted that in view of the disclosure as a whole, based on the operating principles set forth previously with respect to benders and IOA's, a person of ordinary skill in the art will recognize that a plurality of incoming light rays that are each oriented parallel with respect to this particular set of light rays will also be received and focused by concentrator 109 such that they are directed through focus region 41.

5132 Having described the operation of optical concentrator 109 with respect to a particular orientation of incoming rays of light 14, it is to be understood that concentrator 109 may be utilized for receiving and concentrating other rays of light (not shown) that are oriented at different angles. For example, in a case where incoming rays of light 14 are oriented with the entrance angle having a different value that is substantially smaller than 2 β, then one or both of the bender and the IOA will need to be rotated to different orientations in order that they cooperate with one another to bend and focus the incoming rays of light in a manner that is consistent with the operating principles described with reference to FIG. 10 and previously in this disclosure.

5133 For example, with respect to the embodiment of FIG. l 1, for a given plurality of mutually parallel incoming rays of light having entrance angles substantially less than 2-β, the bender defines an exit cone, as described above in reference to FIG. 9, based in part on the orientation of the incoming rays of light, and the given plurality of incoming light rays is receivable, based on the appropriate rotational orientations of the bender and the IOA, as long as the previously described criterion is satisfied such that exit cone intersects the acceptance cone of the IOA along a line of intersection that extends from the bender to the IOA. It is noted that for receiving and concentrating the plurality of incoming light rays it is generally necessary to rotate the bender to align the intermediate rays to be collinear with the line of intersection, and it is also generally necessary to rotate the IOA for directing the acceptance direction to be collinear with the line of intersection in order that the IOA bends and concentrates the intermediate rays of light. f 134 With ongoing reference to FIG.1 1 , it is again noted that the illustrated embodiment represents a special case wherein the bender and the IOA are configured such that bending angle β (defined the bender) is equal to zenith angle ξ (defined by the IOA). Applicants recognize that with respect to this particular embodiment, incoming rays of light that enter the concentrator in a parallel orientation with optical axis 47 can be received and concentrated regardless of the angular orientation of the bender. As mentioned previously, bender 33 is configured, based on a particular design configuration that will be presented in detail hereinafter, wherein the bending angle has a value β that may be at least approximately constant regardless of the angle of the arriving light rays. Therefore, incoming rays of light that enter the concentrator parallel with the optical axis will produce intermediate rays that are bent in the bender direction (the direction in which the bender points) by the amount β. In other words the incoming rays of light are bent by an amount towards the direction in which the bender is rotatably pointed. And, for the special case of incoming rays of light 14 that are parallel with optical axis 47, regardless of the orientation of the bender, the IOA can be oriented such that the acceptance direction of the IOA is anti parallel to the intermediate rays of light so produced.

Vector Description of the BRIC

¾135 The following discussion describes a number of aspects related to determination of the correct orientations for the two IOAs to align the optical system to a given optical source. This discussion again assumes that bend angle 104 of the bender is not a function of input angle or direction, and that bend angle 104 has a value that is equal to the azimuthal angle ξ associated with the acceptance direction of the IOA such that ξ= β. As will be described immediately hereinafter, the operation of a bender may be described mathematically by decomposing a vector representing the incoming ray into three components, as based on a number of definitions that will be described immediately hereinafter. 1136 Attention is now turned to FIG. 12 which is a diagrammatic perspective view illustrating one embodiment of bender 33. FIG. 12 illustrates an incoming ray of light 14 incident upon bender 33. Incoming ray of light 14, and any other direction vector of interest, may be mathematically represented, in accordance with established principles of analytic geometry that will be familiar to a person of ordinary skill in the art, by decomposing the ray based on a coordinate system defined by three mutually orthogonal axes including (i) a 'u-axis' 126, a 'v-axis' 127, and a 'z-axis' 128. As illustrated in FIG. 12, z-axis 128 is aligned with the optical axis of the optical arrangement, and the u and v axes lie in a plane defined by an input surface 131. 137 The directional orientation of incoming ray of light 14 can be represented by a unit input vector 103 (of unit length) pointing in the direction of the incoming ray 14, and based upon the immediately foregoing definitions unit input vector 103 may be mathematically decomposed, in accordance with the aforementioned established conventions, for representation as a 3-vector r including u, v, and z components 126', 127' and 128', respectively, with values r_u, r_v, and r„ with each value corresponding to an associated projection of vector 103 onto the u-axis, the v-axis, and the z-axis. While 3-vector r is graphically depicted as pointing in opposition to incoming ray of light 14, it is to be understood that this is to be considered as an arbitrary convention defined for purposes of convenience, and that the 3-vector r, defined in this manner, corresponds with the orientation of incoming ray of light 14, and is not intended as corresponding with the direction of the incoming ray of light. In the equations that follow, all orientations will be mathematically represented based on this convention, and will be physically interpreted accordingly. It is further noted that while the bender itself may attenuate the light to some extent, the description at hand relates only to the bending of the light and not to attenuation and/or other modifications. In this regard, it will be appreciated by a person of ordinary skill in the art that that "normalized" vectors (of unit length) are appropriate for use as input as well as output vectors at least insofar as their use is restricted to descriptions relating to the bending, and not to attenuation and/or other modifications to the light. Thus, any incoming ray 103 can be mathematically represented using Cartesian coordinates as 3-vector r (having unit length) that is decomposed into u, v, and z components as follows:

f 138 Analytic geometry may be utilized in conjunction with trigonometry and linear algebra in order to mathematically model the effect of passing a ray through the bender. For example, with the incoming ray entering the bender being represented by the 3-vector r of Eq. 1, the orientation of resulting output ray may be described by the 3-vector s, (also having unit length) utilizing the aforedescribed coordinates, as:

s n cos/ _t ^s n β cos ? J f 139 The 3-vector s is a unit vector that merely describes the orientation of output ray 93, and is not to be interpreted as representing the physical ray itself. In particular, 3-vector s of Equation 2 corresponds with the orientation of the output ray of light, but is not intended for correspondence with the direction of the output ray of light. A person of ordinary skill in the art will readily appreciate that the foregoing matrix equation implies the v-axis component remains unchanged during the bending such that s_v - r_», and therefore the bending action of the IOA may be regarded as being restricted to lie within the u-z plane. Furthermore, in view of this recognition and based on the foregoing mathematical description, it can be appreciated that the U axis corresponds with bender direction 93 in accordance with previous descriptions in reference to FIG. 8, and as illustrated by the presence in FIG. 12 of bender direction 93 overlying u-axis 126. Using the terminology set forth previously in reference to FIG. 8, if a particular in-plane input ray (not shown) lies in the u-z plane, it will remain in the u-z plane during bending, and this orientation of the bender direction relative to the incoming ray of light corresponds with the previously described scenario wherein the bender is pointed towards the incoming ray of light. Based on previously introduced terminology, a case wherein the incoming ray of light lies in the u-z plane of FIG. 12 represents a case where the bender is to be regarded as pointing toward the incoming rays of light. 140 While the bending action may be calculated in Cartesian coordinates in accordance with the foregoing descriptions, a person of ordinary skill in the art will readily appreciate that the performance of the system may also be characterized based on other systems of coordinates, even while the above mathematical technique may be utilized, provided that the appropriate conversions between coordinate systems are properly executed and are performed at an appropriate step of any given overall determination. For example, an orientation of the incoming ray of light 14 may be characterized using a first angle φ,„ (relative to the optical axis) and a second angle δ (relative to the v-axis), as illustrated in FIG. 12, and well known techniques may be employed for converting this orientation to the system of Cartesian Coordinates defined above, at which point the formula above may be employed for characterizing the bending. The resulting 3-vector s can be converted back to polar coordinates (again using well known mathematical techniques) to find φ_Μ represented in FIG. 12 as the angle of the light 93 exiting bender 33 relative to the optical axis. The resulting equation for

141 It will be further appreciated by a person of ordinary skill in the art, that these calculations may also be performed as numerical computations by utilizing well known analytical optics techniques. For example, in many cases ray tracing may be employed for simulating the operation of a specific bender, IOA and/or combination thereof. f 142 Based on the analytical techniques described above, in conjunction with well established techniques associated with physical optics, and in view of this disclosure as a whole, a person of ordinary skill in the art will appreciate that a special case of a concentrator 109 described with reference to FIG. 1 1 may be utilized for tracking the sun over a wide range of positions throughout the day. For example, it may be readily appreciated that concentrator 26', configured with ξ = β = 22.S degrees and located in Boulder Colorado (with the concentrator facing such that is tilted south at an angle of approximately 40 degrees from horizontal), is capable of tracking the sun throughout a substantial portion of a given day. It is again noted that concentrator 26' is capable of achieving this performance based solely on rotation of the bender and the IOA, and does not require any additional tracking mechanism in order to achieve this remarkable performance.

Shaping of IOA Acceptance Ray Profile f 143 In the foregoing discussions, the term 'focal region' rather than 'focal point' has been used to describe the location of concentration of light rays from a lens. This distinction has been made since the term 'focal point' applies to a more traditional imaging optics where collimated light focuses to a point. Instead of being designed with techniques restricted to imaging optics, an IOA can be constructed using analogous methods (such as non-imaging Fresnel concentrating lens techniques), wherein the light rays are directed into a focus region and never converge to a point. One approach to accomplishing this is to directly incorporate a non-imaging Fresnel concentrating lens as part of an optical IOA arrangement. Another general approach is to employ non-imaging optical principles in the design of the IOA. It is noted that a good source on the design of non-imaging lenses can be found in Nonimaging Fresnel Lenses: Design and Performance of Solar Collectors by Leutz and Suzuki, which is incorporated herein by reference. By employing non-imaging optical techniques in the design of an IOA, it is possible to increase the range of directions about the acceptance direction wherein light entering the IOA will still be concentrated and directed into the focus region. In other words, it is possible to exploit the nature of a non-imaging IOA in order to decrease sensitivity to misalignment of the incoming rays of light, such that within a predetermined range of misalignment, the incoming rays of light are nevertheless received and concentrated into the focal region. 144 As described in the reference by Leutz and Suzuki referred to above, the design of a nonimaging lens involves processing the boundary of the input aperture of the lens and designing the optics so that an input ray of light that is misaligned will still be directed into a particular region. The Leutz and Suzuki references consider only the magnitude of misalignment and thus the range of allowable misalignment is circularly symmetric. Applicants recognize that this is not a requirement, and that by configuring an optical arrangement such that misalignment design values are a function of the direction of the incoming ray, non-imaging optical arrangements can be created that have an asymmetric range of allowable input rays. Applicants further recognize that by utilizing these principles, an IOA can be designed so that the incoming ray distribution can be more oval shaped, which can have the advantage that the sun's path traverses the long axis of the oval, thus requiring less frequent or less accurate movement to track the sun.

11145 For a concentrator comprising a given combination of optical arrangements the design of a given concentrator acceptance range may in many cases be complex, the required analytical techniques are believed to be well described in the Luetz reference, and applicants believe that a person of ordinary skill in the art having this disclosure in hand, will be readily able to implement a number of embodiments based on the descriptions herein. Introducing foreshortened terminology for describing the functioning of a concentrator such as concentrator 26, and variations thereof, a concentrator may be regarded as defining a concentration ratio based on the area of the focal region and the area on the input aperture defined by the concentrator. Furthermore, a concentrator that is configured with a given concentration ratio generally will receive and concentrate rays that are within a given range of misalignment angles. This range of misalignment angles can be considered as defining a "field of view" of the concentrator defined herein as a range of positions of the sun in the sky from which light may be received and concentrated without employing any tracking motion, rotational or otherwise. For example, the field of view of concentrator 26 is that range of positions of the sun in the sky for which concentrator 26 is capable of receiving and concentrating light without performing any rotational adjustments. It is to be understood that the field of view as described above does not account for the question of whether the sun ever actually occupies all the positions in the field of view, and that it is possible to configure a solar concentrator to exhibit a field of view that includes vacant positions that the sun never actually occupies, regardless of the time of day or the time of year. Applicants are aware that even non-imaging optical systems tend to be governed by the well known and fundamental principles of optics that impose theoretical limits with respect to field of view of imaging and non-imaging systems alike. In this regard, a concentrator system having a wide field of view that includes a wide range of vacant positions in the sky may be perhaps be considered as wasting at least a portion of the field of view. Applicants recognize that a wide-field system having circular symmetry may be inherently wasteful in this respect since the sun tends to follow an at least somewhat linear trajectory, and that such a system may be modified to change the shape of the field of view to another shape that more closely matches a given path of the sun in the sky, to account for daily and or seasonal variation of the position of the sun in the sky.

<|146 Concentrators function by taking the light from a given area and focusing the light to a smaller area. A symmetrical circular l Ox concentrator may receive sunlight through a circular aperture defined by the concentrator, and may concentrate the received sunlight by bending and focusing the light to a focus region that is 1/10* as large as the input aperture. A solar energy application represents a special case where the light source is continuously moving but the path of the light source is known. These applications typically employ concentrators that take the sun's energy from a near circular area and concentrate it to a smaller circular or square area. This requires that the optics track the sun throughout the day. The greater the concentration, the closer the input light area is to the size of the sun in the sky and therefore the more stringent the tracking requirements. In applications of low concentration, the tracking can be more tolerant since the sun can move through the larger field of view before adjustment of tracking is required.

Ϊ1 7 Attention is now turned to FIGS.13 A and 13 B which are diagrams, generally indicated by reference number 130 and 130', respectively, illustrating fields of view 133 and 133' including a range of positions 136 of the sun as the sun moves through a predetermined portion of a given day. It is noted that FIGS. 13 A and 13B both depict the same range of positions 136, but that field of view 133' in FIG. 13B is substantially smaller than field of view 133 in FIG. 13A. FIGS. 13A and 13B illustrate the concept that tolerance in positioning is less critical for lower concentration, based on the principle that a lower concentration system tends to have a wider field of view, and it can be appreciated based on FIGS. 13A and 13B that it is possible to avoid repositioning the field of view for some time as the sun makes its way across the field of view 133, while more frequent repositioning will be needed in a higher concentration having field of view 133'. ¾148 With ongoing reference to FIG. 13 A, based on the terminology set forth above with regard to general discussions and definitions for the field of view, it is noted that at least a portion of field of view 133 may be regarded as being wasted since it appears to include a substantial portion of vacant positions in the sky, and Applicants recognize that it may be therefore be advantageous to stretch the field of view to at least better match the sun's path that is indicated by way of consecutive positions 136.

¾149 Attention is now directed to FIG. 14 with reference to FIG. 13 A. FIG.14 is a diagram, generally indicated by reference number 140, illustrating a field of view 146 that is stretched to match the sun's path. A stretched Field of view 146 corresponds with a magnification of roughly l Ox and has an area that is approximately the same as field of view 133 (field of view 133 is initially shown in FIG. 14, overlaying field of view 146 and represented with a dashed line). It is clear from FIG. 14 that a modified concentrator exhibiting stretched field of view 146 covers more of the sun's path as compared to an unmodified concentrator exhibiting field of view 133, and therefore the modified concentrator can maintain tracking of the sun in a way that requires less repositioning. Thus, by designing the field of view to match the sun's motion through the sky, it is possible to reduce the tracking requirement of the panel and/or relax mechanical performance specifications that relate to the associated tracking mechanism. While it is possible to employ this approach in conjunction with conventional solar collectors, Applicants recognize that this approach may be especially advantageous when employed in the context of concentrators described in this overall disclosure, especially since the non-imaging optics utilized for producing IOA's lends itself well to configuring the field of view in a customized way.

¾I50 For example, by modifying a concentrator to provide a field of view that is stretched to match the path of the sun (or other predictable light source) in the manner described immediately above, the need to reposition can be reduced. For example, if IOA 32 of concentrator 26 is modified for producing a field of view having a stretched shape similar to the field of view of FIG. 14, it may be possible to relax certain specifications and/or requirements related to tracking, especially with respect to mechanical specifications and/or requirements that relate to rotation of the IOA. For example, it may be possible to reduce a required range of rotation, and to also reduce the number of times during the day that the rotational orientation is adjusted. It is noted that this approach can also be applied to mechanical tracking systems or combined IOA/mechanical trackers. As one possible simplification, it may be possible to configure a tracker for tracking the sun based on a set of discreet 'resting' positions as opposed to a smooth and continuous profile of positions. For example, concentrator 26 could be modified for rotational orientation of one or more optical arrangements (benders and/or IOAs) and the field of view could be sufficiently stretched such that in order to track the sun throughout a given day the concentrator is only required toggle between two receiving directions - for example a first receiving direction for the morning, and a second receiving direction for the afternoon. Alternatively, concentrator 26 may be modified for defining a set of discreet receiving directions and to change from one to the other on an hourly basis. Applicants recognize that a tracker that locks into fixed positions, at least generally in accordance with the foregoing descriptions, may be less expensive to implement than a continuous tracker.

IOA Tracking fl51 It is to be appreciated that the method of tracking disclosed herein provides a number of remarkable advantages as compared with traditional concentrator systems and associated methods. Perhaps the most significant advantages stem from the simplicity of the drive mechanisms needed to implement this technology. For example, in the context of concentrator 26, a tracking concentrator system, for example including a bender and an IOA, can utilize two sets of moving parts that are independent of one another such that moving the IOA does not move the bender, and vice versa. Furthermore, as described previously in reference to FIG. 3, the configuration of the optical system can be compact, at least along the direction of the optical axis, and does not change position or form- factor as the system is tracking. This allows a rotating drive mechanism (for rotating a bender and or an IOA) to be placed inside the product package, such as a low profile panel and/or enclosure, for shielding the drive mechanism from weather and wind. This in turn significantly reduces the requirements related to environmental resistance, at least for any actuators, drive mechanisms and/or control systems that are required for rotatably adjusting the IOA and the bender. The use of optical concentrators that track the sun based solely on rotational motion may significantly reduce the cost of optical tracking and enable its use in applications that were previously impractical at least for reasons relating to cost and/or size of conventional trackers. 152 Applicants recognize that there are yet further advantage associated with configurations that rely solely on rotation for tracking the sun. At least with regard to mechanical considerations, it is noted that rotation is often easier to accomplish than translation, and can therefore be achieved at lower cost. In addition, moving mechanical components that rotate are capable of being balanced. For example, at least with respect to embodiments that are configured such that the rotating optical arrangements (benders and/or IOAs) are inherently balanced, the system may be arranged such that the only torque required by the tracking actuators is the torque required for acceleration and overcoming friction. If the optical tracking application is fairly slow, as it generally is in solar applications, then the torque requirements become minimal. This further reduces the size, complexity, and cost of the implementation. 153 Applicants further recognize that it may be advantageous to modify a low cost conventional concentrator, at least with the addition of an 10A, in order to improve tracking performance while relaxing certain requirements with respect to the associated tracking mechanism. A person of ordinary skill in the art, having this disclosure in hand, may identify a concentrating system with a simple low cost tracking mechanism, and may then improve the system at least by addition of an IOA such that the modified system includes a fine adjustment, in part resulting from the use of the IOA for improving tracking performance. 15 Another class of advantages of the IOA-based optical trackers is that the target of the optical system need not move. For example, in an IOA tracking solar photovoltaic (PV) concentrator, the target of the concentrated light, the PV cell, does not move as the system tracks. A stationary optical path is clearly easier, and therefore less expensive, to implement. Additionally, in the solar concentrator example, the stationary PV cell can eliminate the need for moving the conductors that carry the power away from the cell and can significantly simplify the removal of excess heat from the target. 155 As described in greater detail hereinafter, a solar collector may be configured that utilizes an array of one or more concentrators to redirect and focus the sun's rays on receivers that are configured for absorbing the concentrated light for conversion to a form of power such as electricity or thermal power. Each concentrator may include at least one optical element (IOA or bender) that is supported for rotation as at least part of focusing the sun's rays onto an unmoving target. If more than one optical arrangement (such as an IOA and/or bender) is utilized, then the first optical arrangement to interact with the incoming light may serve as an input arrangement for initially receiving incoming rays of sunlight. In effect, the concentrators act as a solar tracker so that the target, electrical connections and support structure of the assembly need not move and the only moving parts are rotatable optical arrangements in the concentrators, and their associated drive mechanisms and components thereof. Applicants recognize that the panel can be movable (e.g. with an external 1- or 2-axis tracker) and in this case the internal target tracking could be used as a secondary tracker or as an integral part of the whole tracking system. Thus, one approach is to utilize an external mechanical tracker as a coarse (not highly accurate) tracker with an internal BRIC tracker/concentrator acting as a fine tracker utilizing rotation of optical arrangements as described throughout this disclosure. This particular approach may be utilized to relax requirements associated with the external mechanical tracker to allow the tracker to be designed with a lower cost configuration. 156 Having described the operation of concentrator 26, and having described various details with respect to the operation and characteristics of benders and IOA's. A number of general system level considerations relating to solar concentrators will be presented immediately hereinafter.

One-IOA Systems l57 Overall concepts relating to two distinct one-IOA designs will be described hereinafter. A first one-IOA embodiment is a 1 -dimensional array having one or more IOAs for focusing light onto a linear target. The concentration gain is not as great as compared with a 2 -dimensional concentrator (such as concentrator 26). However, Applicants recognize that this first embodiment may provide advantages at least for use with solar-thermal systems where the target may be linear in nature, such as a pipe, though this first embodiment may also be applicable for use with a linear array of PV cells. The IOA itself may include a bender followed by a concentrator. The concentrator may be a 2- dimensional (point-type) concentrator (such as a conventional lens), or a I -dimensional (line-type) concentrator (such as a cylindrical lens) that is mounted parallel to the I -dimensional target. Thus, the concentrator may be physically independent of the rotatable IOA, or may be partially combined with the rotatable IOA.

1158 Attention is now directed to FIG. 15 which is a diagrammatic representation, in elevation, of a linear concentrator configuration, generally indicated by reference number I SO and employing an array of two IOA's 32 configured for receiving input rays of light 14 concentrating the light along the axis of a linear target 153.

¾159 The IOA's are controlled, for example by a drive mechanism (not shown) to rotate and to continuously point towards the incoming rays of sunlight and to direct the exit rays to the target 153. IOA output rays 156 may move up and down the target (left and right in FIG. 15) since there is only one IOA per concentrator to correct for one axis of the sun's position. Typically, the IOA output rays striking the target will be incident at an angle (not perpendicular) to the target, however the IOA output rays may enter perpendicular to the target at specific times during the day when the sun's ray angle matches the IOA bend angle such that the IOA output rays leave perpendicular to the IOA and are directed towards the target. 5160 As one aspect of the operation of concentrator system 1 SO, with the target oriented East- West, then seasonal North-South variation of the sun can be fully corrected. Four examples are worth noting to understand this system. When the sun is in the east with no northern or southern displacement, then the [OA may rotate so that the light is bent toward the target - with no north or south bending since the sun is already on a target-IOA plane. When the sun is in the north and the day and the time are such that sun is positioned along the acceptance direction of the IOA, then the incoming rays of sunlight will bend downward to the target with no east or west component. A similar configuration occurs when the sun is in the south. These last two examples result in the sun's rays entering the target perpendicularly.

^161 Of interest are the cases when the IOA bend angle is less than the sun angle, or when the IOA bend angle is more than the sun angle. In these cases, the sun angle of concern is the angle between the sun's rays and the plane made by the target line-IOA line. With an east-west orientation of the target, the important sun angle is the north-south angle since any east-west angle will not need to be corrected in order for output rays 156 to strike the target, since the sun's rays will be allowed to strike the target with an angle along the target axis (east-west). If the IOA bend angle is less than the sun angle, then the IOA will correct part of the sun's angle, but not all of it and so the rays may strike the target at an angle, but the rays will strike the target at a steeper angle (more perpendicular) than if the IOA were not present Alternatively, if the IOA bend angle is greater than the sun angle, then the incoming rays of light are focused on the target, but will strike the target at an angle in the opposite direction than if no IOA were present. In fact, there should be a point such that the angle of the sun equals the bend angle and then the rays that fall on the target will be directly below the exit rays from the IOA. For example, if the IOA bend angle is 30 degrees, then the sun's position should be at 30 degrees to have the light rays striking perpendicularly to the target. This 30 degree angle is the total angle made up of the vector sum of the east-west angle and the north-south angle. f 162 As can be seen, the rays will strike the target perpendicularly two times during the day (when the sun is east at the bend angle, and when the sun is west at the bend angle). Thus, if the panel assembly of the IOAs is continuously rotated, then it may be possible for the rays exiting the IOA to strike the target perpendicularly at all times. This in effect becomes a 2-axis tracker with one axis external to the panel that moves the whole panel, and one axis internal to the panel that bends the light to the target. Note: the two axes are not necessarily orthogonal. IOA With Mechanical Tracker 16 This second embodiment separates the tracking motion of the panel into two different tracking methods. Traditionally, a solar panel is either fixed (not moving) or is moving so that it is pointed toward the sun - this is generally referred to as "tracking". (The solar panel has a "direction" which is the perpendicular to the surface of the panel in the direction of the incoming light: thus when the solar panel is pointed toward the sun, the panel is positioned so that the light enters the panel at right angles.) Oftentimes, depending on the configuration of a given solar collector, there may be at least two motivations for tracking the sun: (i) when tracking the sun, the amount of sunlight that enters the panel may be increased as compared to a fixed non-moving panel, and (ii) typical concentrating solar panels often require the sunlight to enter the panel at a constant angle at all times - thus as the sun moves across the sky, the panel can rotate in relation to this movement such that the panel points directly toward the sun. By contrast, a fixed non-moving panel receives less light in the morning and evening due to the shallow angle of the light entering the panel which is commonly called the 'cosine effect'. This is such a large effect that a number of manufacturers of traditional solar panels presently offer tracking on their panels to recover this lost morning evening power.

^1 Attention is now directed to FIG. 16A, which illustrates a perspective view of one embodiment of a conventional one axis tracker generally indicate by reference number 160. Different levels of tracking are common: one relatively simple case is a one-axis tracker where the panel is pointed (its direction normal to the surface where the light enters the panel) about the East-West direction of the sun's daily motion, but not the North-South direction of the sun's seasonal motion as shown in Figure 16A. Thus, in the morning, the panel can be pointed to the east in the general direction of the sun, and throughout the day the panel may rotate about a north-south axis of rotation so that the panel will be pointed to the west during the evening. (The axis of rotation is commonly tilted to further improve the amount of light entering the panel, and this tilt is often preferably arranged to be comparable to the latitude of the installation.) Because the sunlightmay not enter the panel perpendicularly at all times throughout the year, this method may not be suitable for concentrated solar panels that typically require the light to enter nearly perpendicular to the panel surface. If the panel has a one-axis tracker, then seasonal variations may result in a +A23.5 degree entrance angle to the panel with an additional possible daily angle error if the panel is tilted too far in front of the sun or too far behind the sun. Thus a one-axis tracker in some cases may not applicable for a concentrating system. fI65 Attention is now turned to FIG. 16B, which illustrates a perspective view of a conventional two axis tracker generally indicated by reference number 160'. The two axis tracker shown in FIG. I6B rotates to follow the sun in the east-west daily motion as well as the north-south seasonal motion. Thus it is possible for the sunlight to enter the panel in a fixed (perpendicular) direction at all times of the year and throughout at least a substantial portion of each day. Due to typical construction techniques, a given two axis tracker may be much more complex and costly than a given one axis tracker. Thus, a two-axis tracker is primarily used for concentrator panels where the panel can point toward the sunlight with a very small angle error and one-axis trackers are primarily used for non- concentrator panels where the light may enter off of the panel.

5166 Attention is now directed to FIGS.17 A, 17B, and 17C which are diagrammatic representations illustrating three different fields of view generally indicated by 170, 170' and 170", respectively, that may be each associated with a different solar collector (or solar concentrator). Figure 17A illustrates effective field of view 170 that may be associated with a non-tracked (fixed) solar collector such as a conventional PV solar panel. FIG. 17B illustrates a field of view 170' that may be associated with a solar collector (or solar concentrator) that employs one-axis tracking, and FIG. 17C illustrates a field of view that may be associated with a solar collector (or solar concentrator) that employs two-axis tracking. In Figure 17A, the associated solar collector may receive and collect incoming rays of sunlight with the sun in locations from +/-23.S due to seasonal variation 173 and from +/-90 due to daily variation 176. 1 7 FIG. 17B illustrates field of view 170' associated with a collector wherein a one-axis tracker has been incorporated such that field of view 170' associated with viewing and/or with receiving and concentrating sunlight during daily variation is reduced as compared to field of view 170 (FIG. 17A) such that field of view 170' covers an annual seasonal variation 176 where the sun is high in the summer and low in the winter as illustrated in FIG. 17B by a double headed arrow representing seasonal variation 176, and it is to be understood that the associated one axis tracker may be configured for tracking daily variation 173 indicated by a double arrow in FIG. 17B.

5168 FIG. 17C illustrates field of view 170" associated with a solar collector wherein a two-axis tracker has been incorporated such that field of view 170" associated with viewing and/or with receiving and concentrating sunlight during daily variation is reduced as compared to field of view 170'(FIG. 17B) such that field of view 170" covers no seasonal or daily variation, and it is to be understood that the associated two axis tracker may be configured to track seasonal variation 173 and daily variation 176. f 169 With ongoing reference to FIG. 17B it is noted that if the associated one axis tracker exhibits a certain degree of error, then an IOA can be utilized in accordance with previous descriptions, to compensate for this error. Referring to FIG. I 7C it is noted that the associated tracker is required to track the motion of the sun at all times during the day and throughout the year. The accuracy of tracking typically required for this form of two axis tracking may be prohibitively expensive and may require a mechanically stiff structure to maintain the required orientation while supporting an array of panels. It is noted that IOAs may be incorporated in the associated collector such that IOAs are able to contribute to correcting errors in the overall tracking to allow for relaxed specifications relating to tracking requirements, for example as described in reference to FIGS 13 and 14. 170 Returning to FIGS. 17B and 17C, the assumed one or two axis tracking is compatible with an associated embodiment of a solar collector that that utilizes at least one solar concentrator having field of view 170' or 170", respectively. By incorporating a light bending optical arrangement, such as a bender or an IOA, the incoming rays of light may be redirected toward a receiver, such as a PV cell or light/heat gathering elements. Thus, an angle between the optical axis of the concentrator and the incoming rays of sunlight is the bend angle of the IOA, and the incoming rays of sunlight may be redirected to the target receiver. Previously, it was demonstrated how two optical arrangements may be configured to redirect the light so that light entering a concentrator anywhere within a range of receiving directions can be received and concentrated. This same method can be used here so that as the concentrator is moved by a one axis tracker, an IOA can correct for any non-normal sunlight angle so that the light exiting a given IOA is normal to the receiver surface. In fact, since the tracker may be regarded as relaxing the requirements as to the receiving range of the concentrator, the optical arrangements may be rotatably aligned to correct for a smaller angle error. Thus the tracker may be made at a lower cost or with different requirements with the understanding that any smaller tracking errors may be compensated by rotation of the optical arrangements. Furthermore, for a tracker that supports a plurality of IOA and/or bender or bender equipped concentrators, since each IOA and or bender-equipped concentrator can independently correct for tracking errors, mechanical specifications and/or requirements of the tracker may be relaxed so that angular variations across the tracker from one concentrator to another can be corrected separately in each of a plurality of concentrators used in a given multi-concentrator system. With this in mind, it is recognized that an associated tracker could be configured in a cost-reduced manner such that it does not move smoothly throughout the day and perhaps has fixed positions that it rests in and 'ratchets' between these fixed positions throughout the day. ¾171 If a single optical arrangement (such as a bender or an IOA) can bend the light more than the seasonal variation (+/-23.5°), then the single optical arrangement can correct for the North-South seasonal error while the 1- or 2-axis tracker will correct for the daily sun position. The addition of the optical arrangement allows for the 1- or 2-axis external tracker to be simpler in design and less accurate in its positioning. In the simple case of Spring Equinox when the sun is passing directly over and perpendicular to the panel, at noon, the optical axis of a panel may be tilted east or west (relative to the sun location) by the bend angle so that the input optical arrangements thereon would see the sunlight entering at the bend angle and bend the light so that it is normal to the surface inside the panel and can subsequently be concentrated onto the target. Since the optical arrangement may correct for any light entering at the bend angle and the seasonal variation is less than the bend angle, then there is a panel orientation such that the light will enter the panel at the bend angle so that the optical arrangement can bend the light and concentrate the light onto the target. (Note: at Winter Solstice when the sun is 23.5° below (south) of the normal of the panel, then the 1-axis tracker would point the panel toward the sun direction - in the east-west direction - and the optical arrangement would correct for the low sun entrance angle.) Thus the 1-axis tracker may adjust so that the sun is entering at the angle that is required by the optical arrangement in order to provide the needed corrections with respect to tracking the sun, and a single optical arrangement combined with a 1 -axis tracker can be used to orient the sunlight in the panel for use in a solar concentrator. Similarly using an lOA-bender configuration may allow a greater range of sun angle corrections and permit the panel to be oriented perpendicular to the sun without requiring a panel offset to compensate for the IOA bending angle. f 172 As another embodiment of this method, a light bending film could be applied over an entire solar panel that supports a plurality of concentrators, such that light entering all the concentrators in the panel is pre-compensated (or "biased") with a bend angle. If the panel is mounted so that the seasonal variation is not symmetric, (the winter angle is not equal to the summer angle), then the incoming rays of light could be bent by a fixed angle such that the light in the panel is symmetric with respect to seasonal variation. For example, if the panel is mounted 20° too far northward (e.g. panel tilt of 20° when mounted equatorially), then the seasonal variation will be from 3.5° North to 43.5° South and the optical arrangements (such as benders and/or IOAs) would need to correct for the worst case of 43.5°. If a fixed 20° light bending film is added to the panel, then the light angle may be reduced by 20° resulting in a symmetric north/south variation of +/-23.5⁰. This simplifies the overall design by reducing the worst case angle correction and balances the system. Note, that due to well known variations of sunlight intensity during the seasons (more intensity during the summer and less intensity during the winter), it may be advantageous to have the panel tilted with a north-south offset to maximize the total amount of energy captured during the year. This is especially true with a one- axis tracker where the only north-south correction is performed by the IOAs and not by a physical movement of the panel.

Dual Optical Arrangements

1173 A bender-IOA embodiment of an optical concentrator may include (i) an input bender, which changes the direction of light rays that pass therethrough and (ii) a lower IOA that accepts rays of light at a given off-axis (off-normal) direction and focuses these rays to a receiver (generally centered) below the lens. The combination of these two rotatable optical arrangements permits the sun's rays to be directed to a single unmoving receiver when the sun is anywhere within a range of receiving directions relative to the concentrator. The extent of this range of receiving directions is a function of the two optical arrangements and is normally made to be as large as possible. The lower IOA has many configurations such as a light bender with a reflective concentrator, a light bender with an embedded refractive concentrator, or a combination with the concentration being accomplished by refraction and or reflection.

5174 Attention is now directed to FIGS. 18A, 18B and 18C which are diagrammatic illustrations of elevational, end, and plan views respectively of an array of two concentrators 26 and 26' each including input bender 33, lower IOA 32 and the receiver 189. In the end view, the second concentrator is not visible behind the front concentrator. Note that input rays of sunlight 14 entering the input bender are in different directions on the two views. This is due to the separation of the sun's ray vector into two components (a side view component and a front view component). The actual sun ray angle is the vector sum of these two components. f 175 The Lower IOA's 32 and 32' may be constructed with a circular light bending IOA followed by a square or other shaped concentrator arrangement 187 (represented in FIG. 18C using a dashed line) to acquire the light that falls between the IOA's. This configuration has the advantage of using the sun's rays when the sun is nearly directly overhead. This concentrator design, while shown as square, could be any shape. For example if the panel is designed as a hexagonal pattern, then a hexagonal concentrator would be preferred as compared to the square. In fact, the arrangement of the light benders, the arrangement of concentrators and the arrangement of the receivers do not have to be linear or one-to-one. For example, a 2-by-2 array of light benders could send light rays to two concentrators which could then send the light rays to one receiver. Alternatively, a single IOA light bender could send rays to multiple concentrators and receivers.

SPLIT-CELL 176 A split cell embodiment may be based on an array of concentrators with receiver locations that are not centered with respect to the concentrators. In particular, when the receivers are located between the concentrators, in a plan view, then it may be possible to concentrate light rays that do not pass through an IOA within the concentrator, but that pass between the IOAs, as will be described immediately hereinafter.

¾ 177 Attention is now turned to FIGS. 19A and 19B which illustrate elevational and plan views, respectively, of a split-cell system having four concentrators 26. The plan view of Figure 19B shows receivers 189 located directly between the concentrators so that the light rays collected on the receivers can be from four different IOAs and from the space between the IOAs (the inter-IOA gap). Thus, input rays of sunlight 14 that enter between the IOAs in the inter-IOA gap may be combined with the sun's rays from the four IOAs to create a greater light intensity than that without the inter- IOA contribution. Since receiver 189 collects all of the light from it's associated square as compared to just the light from its associated circle, the increase of light intensity can be 20% or more depending upon the design efficiency. Note that as the sun increases its angle, then some of the inter- IOA gap contribution will decrease and possibly result in no contribution; however, the design could also be optimized to collect the light at an off-normal angle and reduce the light collected when the light is directly above each concentrator. Note also, that the total amount of light entering each receiver need not be less than the design in Figure 18.

¾178 In the following example it may be easier to implement the light bending independently from the concentration. Furthermore, the shape of the receiver does not have to be circular as is described next.

5179 Attention is now directed to FIGS. 20A and 20B which are diagrammatic perspective views of a bender 200 and IOA 203, respectively. FIG. 20A depicts a circular shaped bender that rotates on its axis of rotation (optical axis 47) to align the incoming sunlight to its angled surfaces (in the form of prisms and represented by the parallel lines in the diagram) which redirect that light. It is assumed that all the prisms are at the same angle and therefore bend the incoming light by the same angle. In this case, a cylindrical column of light 202 is coming out from bender 200. Shaping of the focus region

5180 If an IOA is formed by modifying a bender by changing the prism angle of each prism, a line or rectangle can form focus region. Figure 20B shows the effect of an angle change for each prism moving from the left side to the right side; it is seen that the light on the left is bent more to the right and the light on the right is bent more to the left. The light exiting IOA 203 forms a wedge that can be approximated as a single line or rectangle at a distance below IOA 203. The varied redirection is shown in Figure 20B. The effect of this varied prism angle IOA is analogous to a combination including a conventional IOA combined with a cylindrical lens which has the ability to concentrate the light to a more rectangular shaped focus region. 181 Attention is now directed to FIGS. 21 A and 21 B which are diagrammatic views, in perspective, showing two different illustrations of yet another embodiment of an IOA 203' that may be utilized for shaping of the focus region. An additional concentrator, either reflective or refractive, can be used to change the line(s) of light or rectangle(s) of light into another shape such as a circle or small rectangle by concentrating the light in different directions. One simple method of implementing this is by using an A-frame refractor or reflector (not shown) following IOA 203'. FIGS. 21 A and 21 B show an implementation resulting in wedges of light 20S from two different perspectives. 182 Attention is now directed to FIGS. 22A and 22B which illustrate yet two more applications related to shaping of the focus region. FIG. 22A illustrates a refractor and FIG. 22B illustrates a reflector design using this concept to further focus and redirect wedges of light 205 in other directions as compared to FIGS. 21 A and 2 I B. The tent shaped piece illustrated in FIG. 22A is a refractor 206 that rotates with an optical arrangement 210 (a bender or an IOA) which bends the wedges of light exiting optical arrangement 210 to focus them at a point or small rectangle. Similarly, the system in FIG. 22B utilizes a reflector 206', schematically represented in FIG. 22B as an upside down tent that is suspended from the edge of the optical arrangement. This performs the same function as the refractor concentrator— it concentrates the light from the wedges to the focus region using reflection rather than refraction. Thus the optical arrangement may be configured to perform a one dimensional concentration along one axis and the secondary concentrator (refractor or reflector) may perform a second concentration along the perpendicular (or other) axis. The combination of both one dimensional concentrations results in a two dimensional concentration resulting in a shaped focal region as illustrated in FIGS. 22A and 22B. It is noted that it may be easier and less expensive to implement the light bending and concentration in two separate functions rather than combining all functions in one optical interface.

5183 Another option is to configure optical arrangement 210 as an IOA that provides concentration in the second direction. This may avoid additional interfaces and therefore additional optical losses. In this case, the IOA could have a complex configuration attained by convolving the light bending function with the concentrating function. The light exiting the IOA would be redirected refractively or reflectively, providing the same function as the "tents" in the previous examples without adding an additional optical layer.

5184 Another method of 2D concentration is to use upper and the lower surface of the IOA for a combined concentration. One simple method of doing this is to use the same variable angle prism walls as discussed previously with reference to FIG. 20B on a lower IOA surface 215 (see FIG. 20B) and a similar variable angle prism wall on the upper IOA surface 216 (see FIG. 20B) where the direction of the prisms is rotated 90 degrees as compared to the lower (OA. Also, the tilt angle for the upper IOA prisms may be set to a nominal of zero degrees so that no light bending occurs for this direction. For example, the upper IOA surface may be configured to concentrate in the X-axis and the lower IOA surface may be configured to concentrate in the Y-axis to result in a 2-dimensional concentration using one IOA.

5185 These methods along with variations of these methods can be used to direct light from a moving source to a single location or multiple locations. Varying levels of concentration can also be achieved. The shape of the illuminated area can also be varied. Furthermore the distance to the focus region can be reduced by focusing the light to multiple points. Using multiple smaller focus regions may also reduce the heat gain at each focus region location which could have a direct benefit for PV applications. All of these have benefits in applications that have limitations in spacing, that have requirements in light concentration, spot size requirements or light location requirements.

Bender-IOA Combination

5186 Attention is now turned to FIGS. 23A and 23B which are diagrammatic representations showing two plan views of the same concentrator generally indicated by the reference number 26. In this example, an upper bender 33 has a bending angle β = 30° for bending incoming rays of light 14 by 30 degrees, and a lower IOA 32 has an acceptance direction with a zenith angle of ξ = 30 degrees in order to focus the rays to the target. Thus, the upper bender can be rotational ly configured so that its exit rays are 30 degrees from normal in order to match the lower IOA. ^187 FIGS. 23A and 23B may be regarded as illustrating a particular mode of operation wherein the sun's rays entering at the normal to the concentrator. (The sun is positioned so that it is intersected by the optical axis). If it is assumed that the bender has been rotated so that its bend direction is oriented to the right along the positive x-axis, then the intermediate rays 39 exit the upper bender at a 30 degree angle from the optical axis to be collected by the lower IOA which is rotated to point towards the intermediate rays so that these rays will be focused to the focus region. Thus, if the bender bends the rays of light to the right, then the lower IOA will be rotatably pointed so that it bends the rays of light to the left resulting in the rays exiting the lower IOA normal to the IOA surface and parallel to optical axis 47.

5188 As a second example that cannot be easily visualized in a single plane, attention is now turned to FIGS. 24A, 24B and 24C, which are diagrammatic representations illustrating elevational, end and plan views, respectively of an embodiment of a concentrator generally indicated in all three views by reference number 26. If the input rays of sunlight 14 enter bender 33 at an angle of 45 degrees from normal as seen from the front, then the bender may be rotatably oriented so that intermediate rays 39 exit at 30 degrees from optical axis 47 making them more vertical. Since this is a two dimensional problem with rotation, the change of direction of the rays from 45 degrees to 30 degrees may not be accomplished in one plane. In this example, the light rays will change direction out of the plane made by the 45 degree incoming rays and optical axis 47. It can be seen from the top view in FIG. 24C that in this perspective, the input rays of light 14 may be regarded as entering from the side and being successively bent first by the bender to a first angled direction as indicated in the top view by intermediate rays 39, and then by the IOA in a second angled direction as indicated in the plan view by IOA output rays 220. 189 To better understand this rotation, referring to FIG. 24A, first consider the bender rotated so that its bend direction points to the right in the direction of the positive x-axis. The 30 degree bend angle (β = 30°) of the bender will bend the ray downward so that the ray will exit the bender at 15 degrees from optical axis 47. If the bender then rotates 90 degrees so that its bend direction is pointed away, into the paper, and in the direction of the positive y-axis, the bender will now add its 30 degree bend component in the direction of the y-axis which cannot be seen from the front view - the front view would show the ray passing the bender without any change of angle. The side view, however, will show the ray entering normal to the bender and then bending 30 degrees upon exiting the bender. Thus, the ray will continue at 45 degrees as seen from the front view since there has been no bending in this dimension and add a bend of 30 degrees as seen from the side view. The result is that the ray has a new direction, 45 degrees sideways and 30 degrees forward (or backward). The vector sum of these two angles is 54 degrees from normal which is too shallow. Thus, by rotating the bender, the ray direction has changed from being too steep at 15 degrees to being too shallow at 54 degrees. Since the ray direction will change smoothly and continuously with the bender rotation, then there will be a certain bender rotation angle that results in a 30 degree exit angle from the bender. This is the rotation angle that is required for bender 33 to prepare the ray for entering IOA 32. IOA 32 is then rotated to be pointed towards the intermediate rays of light for concentration by the IOA into the focal region 41.

One Embodiment of a Bender 1 0 Attention is now directed to FIG. 25A, which is a diagrammatic plan view illustrating one embodiment of a bender generally indicated by reference number 230. The use of a prism array provides one approach for configuring a bender. A prism array may consists of a 1 dimensional array of prisms 233 as illustrated in FIG. 25A. Typically each prism of the prism array will have a vertical wall 236 and a sloped wall 239 on a prismatic side 242 of the array. A flat surface 241 faces towards the incoming rays of light. This is similar in structure and manufacture to a conventional Fresnel lens, although it is not circularly symmetric as in the case of many Fresnel lenses. It should also be noted that the principles and techniques taught hereafter can equally well be employed by a practitioner of ordinary skill in the art to embody a bender with two prismatic sides, or more specifically a bender with both sides defining separate 1 dimensional arrays of prisms.

¾191 In one orientation, as illustrated in FIG. 25A, flat side 241 faces towards incoming rays of light 14 and prismatic side 242 faces toward output rays of light 92. It is assumed that the incoming rays of light are parallel with one another, and that the orientation of the rays will bend as they enter the higher index of refraction material. Note that if the rays were to then exit a surface parallel to the first surface as in flat glass, then the rays would return to their original angle. However, when the output rays exit the prismatic side of the prism array, they may leave through the vertical wall or the sloped wall. In this embodiment, the bender is configured so that the optical axis 47 is aligned parallel to a normal axis 301 that is perpendicular (normal) to flat surface 241 , and the incoming rays of light enter the bender at an incoming angle as illustrated in FIG. 25A.

1192 It is noted that for incoming rays of light that enter from the left and not from the right, then the exiting rays will exit the bender through the sloped wall only, and will not exit the bender through the vertical walls. For a given set of incoming rays of light (parallel with one another and entering with incoming angle θ„) the bender produces output rays of light 92 (parallel with one another and exiting the prism array with an output angle Q_M ). It is further noted that output angle θ,», is related to, but not equal to, the incoming angle θ», and that the bending angle β can be derived, based on the values of and 6_0Ut in conjunction with the geometry illustrated in FIG. 25A. As described previously in reference to FIGS. 8 and 9, in the context of a particular incoming ray of light, the term bending angle refers throughout this disclosure to the change of angle of the rays of light caused by the bender, and may be regarded as the angle β of output ray 92 relative to extension 1 OS of incoming ray of light 14. For example, consistent with this definition, and by inspection of FIG. 25 A, it is evident that bender 230 bends incoming ray of light 14 by the bending angle of β = Gj, + 9_0ut. It is noted that this is a special case, and it is not to be assumed that the bending angle β is a constant for all possible values of 6^.

1193 A person of ordinary skill in the art will recognize that the amount of bending can be determined, based on well know principles of optics, by the angle of the sloped wall, the refractive index of the bender material, and the application of SnelFs Law. With ongoing reference to FIG. 2SA, with the angle of the sloped wall relative to the flat surface represented as angle Ψ, and with the index of refraction of the bender material represented as index n, then On* may be expressed as follows:

= Ψ + sin^"' ^ιη(0„ )· ««(ψ)- ^³ - sin^J sin^)) 1 In the following three examples, we will consider the angle of (i) the incoming rays of the light 14 entering the bender (ii) internal rays of light 239 passing through the bender and (iii) output rays of light 92 exiting the bender are considered assuming a bender index of refraction n = 1.5 and a prism angle Ψ = 40° from flat. 19S For the sun directly overhead and incoming rays of light 14 entering at angle of θ,„ = 0° (from optical axis 47), the internal ray angle inside the bender will also be 0° but the ray angle upon exiting the bender (θ^) will be -34.6 ° (to the left). This corresponds, for this particular incoming ray of light, with a bending angle of β= 34.6 degrees. f 196 For incoming rays of light entering at (0») angle of 10° (from optical axis 47), the internal ray angle will be 6.6°, and the rays upon exiting (θ,*,) will be -15.6° (to the left). This example is the situation as depicted in figure 25. This corresponds with a bending angle of β = 25.6 degrees. ¾197 For incoming rays of light entering at (θ_ιη) angle of 22.3° (from optical axis 47), the internal ray angle will be 15°, and the rays upon exiting (9_0Ut) will be 0° (relative to the optical axis). This corresponds with a special case wherein the bender bends the incoming rays of light so that they exit the bender parallel to the optical axis, and bending angle β = 9_m = 22.3°. ΐ 198 While the assumption of a constant bending angle has served as a useful approximation for descriptive and illustrative purposes, it is again noted that this is only an approximation, and does not necessarily represent the precise bending performance of a given bender, as illustrated above in the context of a specific embodiment. Nevertheless, this approximation tends to be sufficiently realistic such that it is useful to characterize a given bender as exhibiting a specific "bend angle" even if this number is subject to variation based on the orientation of incoming rays of light, and in the context of this disclosure, a given bender may be specified as having a specific bend angle, even in cases where that bend angle may vary. In order for a specific bend angle to serve as a useful reference, it is helpful to maintain consistency, from one bender to another, as to the definition of bend angle. In view of the foregoing points, the "bend angle" of any given bender, when specified as a single value, is to be associated throughout this disclosure with the special case when output rays are oriented parallel to the optical axis of the bender, for example in the way that is described in the third example set forth immediately above. 1 9 For example, while the bender embodiment of the present discussion exhibits variations depending on the orientation of the incoming rays of light, the bender embodiment illustrated in FIG.2SA is to be specified, based on this convention, as exhibiting a "bending angle" of β = 22.3° such that the incoming rays of light are bent so that the resulting output rays are parallel with the optical axis. 2ΟΟ The following table specifies a number of embodiments that are assumed to utilize the geometry illustrated in FIG. 25A, with each bender embodiment exhibiting a different bending angle (specified in the table as "bend angle") in accordance with the definition set forth immediately above. The upper row corresponds to a desired bending angle, with each column being associated with bending angles I S, 20, 25, 30, 35 and 40 degrees, and the second and third rows specify prism angles T required to achieve the desired bending angle in benders that utilize two different materials, Acrylic and Polycarbonate, respectively. It is assumed, as noted in the table, that acrylic has a refractive index of approximately 1.49 and polycarbonate has an refractive index of approximately 1.58.

Material Index

Acrylic 1.49 29 37 45 51 57 62

Polycarbonate 1.S8 25 32 39 45 51 55

TABLE 1

1201 Attention is now turned to FIG. 25B, which illustrates the operation of bender 33 with respect to incoming rays of light 14 that are oriented to cause shading as will be described in further detail at one or more appropriate points hereinafter. Input rays of light 14 enter at angle θ,_η of 40° from the optical axis; the internal ray angle φ may be 25.4° and the rays upon exiting may have θ₀₁„ = 17.8° directed to the right as shown in Figure 2SB. In this example, light is bent by a bend angle of β = 22.2 degrees, however some of the exiting light rays encounter vertical wall 236 and are refracted off in a different direction(not shown), to cause shading.

One Embodiment of a Solar Concentrator

120 Attention is now drawn to FIG. 26A, which is a diagrammatic plan view illustrating one embodiment of a solar concentrator, generally indicated by reference number 26" that utilizes a multi element IOA 32". A bender 33 initially receives incoming rays of light 14 and redirects the incoming rays of light for acceptance by multi-element IOA 32" configured for accepting and concentrating the rays by focusing the rays into focus region 41. Multi-component IOA 32" includes a bender 234 and a Fresnel lens 235, and bender 33 and IOA 32"are both supported for rotation about optical axis 47. It is noted that the Fresnel lens can be either fixed in position, or it can be supported for rotation about the optical axis 47, and may be configured as a converging or concentrating lens for focusing light that enters normal to its upper surface so that it is directed to pass through focal region 41.

1203 It is noted that bender 234 and Fresnel lens 235 cooperate with one another to function as an IOA in accordance with previous descriptions in reference to FIG. 5 and 6, and the references herein describing IOA 32" as a "multi-element" IOA are premised on the presence of two or more elements therein. As discussed in reference to FIG. 8, FIG. 9 and FIG.25, bender 234 may receive intermediate rays of light 39 and bend the intermediate rays of light by bending angle β (of bender 234) to be parallel with optical axis 47, and the Fresnel lens concentrates the intermediate rays of light into focal region 41.

1204 A specific embodiment of concentrator 26" will be described immediately hereinafter. This specific embodiment is capable of concentrating the sunlight by at least approximately 10: 1 , and is capable of tracking the sun within a cone of approximately +/· 45 degrees around the optical axis. While the concentrator is tracking the sun and concentrating the light onto the receiver, the concentrator can remain fixed in position and orientation, and the only movement can be restricted to the rotation of the two benders. 205 It may be useful to refer to FIG. 25A and the corresponding description to better understand the specific description of the benders. Bender 33 may be configured as an acrylic disk with a circular input surface (as flat side 241) of 120mm in diameter and a bend angle of β= 20°. Input surface 241 of bender 33 defines an input aperture for the concentrator, and has an aperture area of approximately 1 13 cm². A bottom surface 247 of bender 33 is a linear prism array with a pitch of 1mm and with the vertical walls (FIG. 25 236 ) angled 2° to promote overall ease-of-manufacturing. From the previous table of bender designs, the sloped wall portion of the bottom side of the bender (FIG. 25, reference number 239) may have an angle Ψ of approximately 37°.

¾206 Bender 234 can be chosen to be an acrylic disk with an input area of 120mm in diameter, and the bend angle can be chosen to be 30°. The larger bend angle for the second bender is chosen to enable the concentrator to target the sun when the sun is near or on the optical axis. During this situation, the sunlight enters the topmost bender nearly normal, which tends to increase the amount of bending that will occur. Increasing the bend angle of the bottommost bender allows it to restore light entering the concentrator nearly parallel to the optical axis to parallel again before entering the Fresnel lens. The bend angle of the bottommost bender should be increased until it approximately matches the increased bend angle of the topmost bender for light entering that bender from normal. As with bender 33, bottom surface 247 of bender 234 is a linear prism array with a pitch of 1 mm and with the vertical walls (FIG. 25, item 236 ) angled at 2° to aid manufacturing. Again, from the previous table of bender designs, the sloped wall portion of the bottom side of the bender (FIG. 25, item 239) can have an angle Ψ of approximately 51 °. 207 It may be advantageous to place the two benders as close together as manufacturing and operational tolerance allow and still permit rotation for maintaining a small gap 242 between bender 33 and bender 234 FIG. 26A. If the two benders are not closely spaced, a portion of the light leaving the first bender, which is at an angle relative to the optical axis, may miss the second bender, and light could be wasted. For the specific implementation under discussion, the gap may be readily configured to be under 1 mm and this maintains such wasted light to less than approximately 1 %. 2Ο8 The Fresnel lens may have a diameter equal to or larger than that of the bottommost bender in order to not lose (and therefore waste) any further light energy. For example, a non-imaging Fresnel lens, as described in Leutz and Suzuki, may be used as this provides a reasonably efficient configuration. However, a more commonly available imaging Fresnel lens, such as is available from Fresnel Technologies (101 W. Momingside Drive, Fort Worth, TX 761 10, 817-926-7474, www.fresneltech.com), can be used as well. Lower pitch Fresnel lenses may be preferred as they can have fewer edges and corners which may scatter light and correspondingly reduce efficiency, however as pitch drops - lenses often become thicker. One reasonable choice for this specific embodiment is the Fresnel Technologies Item # 18.2 lens that has a pitch of 25/inch and focal length of 6 inches. It is noted that Fresnel lenses are generally not reversible and that this lens is designed to be placed grooved-side up which is the opposite from the depiction of the Fresnel lens in FIG. 26A which indicates it is placed flat-side up. This particular lens also operates flat side up at low concentration ratios, such as is the case here. However, the effective focal length is shorter when reversed. f209 Still referring to FIG. 26A, the concentration factor of solar concentrator 26" may be determined by the square of the ratio of the Fresnel lens focal length to the distance from the focal length to the receiver. Thus, assuming the focus region is located 4.S inches below the Fresnel lens, the concentration factor is ( 6 / 1.5 or 16: 1. The receiver should be at least 1/16 the aperture area of the concentrator, or at least 30mm in diameter. However, this does not imply that the receiver will receive light with an intensity 16X as great as sunlight. Losses from reflection at the interface of each refractive material, imperfections in the optics (particularly in the sharp corners), and losses from light intersecting the vertical walls and bending the incorrect direction may limit the optical efficiency to below 70% for this embodiment. Thus, this concentrator may intensify the light hitting the receiver by a factor approximately of 10-1 1 X. 210 Attention is now directed to FIG. 26B in conjunction with FIG. 26A. FIG. 26B is a diagrammatic plan view of a concentrator, generally indicated by reference number 244, utilizing a single-element IOA 245. An input surface 248 of single-element IOA 245 may include a bender prism array configured to serve as a bender for receiving and bending intermediate rays 239 in a way that is analogous to the operation of bender 234 in FIG. 26A, and an output surface 255 may include a focusing prism array configured to cause focusing in a way that is analogous to the operation of Fresnel lens 235 of FIG. 26A. The bender prism array and the focusing prism array may cooperate with one another to serve as an IOA as described previously with reference to FIGS. 5 and 6. Applicants believe that a person of ordinary skill in the art, having this disclosure in hand, will be readily able to modify the designs presented previously and throughout this disclosure to configure a single element IOA as described with reference to FIG. 26B. In particular, configuring the output surface as a Fresnel lens may be achieved in accordance with well known design techniques associated with Fresnel lenses. With regard to the input surface, Applicants believe that a person of ordinary skill in the art may readily adapt and incorporate the teachings herein in order to configure the input surface for bending in an appropriate way such that the input and output surfaces cooperate with one another to serve as an IOA in the manner described herein. 211 Furthermore, for reasons of illustrative clarity the forgoing example describes the operation of a concentrator with a single-element IOA that operates analogously with the concentrator of FIG. 26A such that the bending and focusing functions of IOA 243 are performed separately and by opposing faces of the IOA. In this regard, applicants further recognize that there is no requirement that the bending and focusing action must be separated between the input and output surfaces, respectively, and these two opposing surfaces may be configured to cooperate with one another in a variety of complex combinations to perform the bending and focusing functions as described herein, and Applicants believe that a person of ordinary skill in the art, having the present disclosure in hand, may readily generate a variety of configurations that will perform in a manner that falls within the scope these descriptions.

¾212 As described immediately above in reference to FIG. 26B, the bending and focusing functions may be combined in a variety of complex ways between the opposing surfaces of single element IOA 243. Applicants further recognize that there is no requirement that the input optical arrangement should be limited to receiving and bending, or that an additional optical arrangement (following the input optical arrangement) should be limited to serving solely as an IOA (for accepting and concentrating), and that all of the functions of the solar concentrator may be combined in complex ways and distributed or re-distributed across among multiple optical arrangements. It is noted that these functions include, but are not limited to, (i) the initial receiving and bending previously described with respect to the bender, and (ii) the accepting and concentrating previously described with respect to the IOA.

¾213 Attention is now directed to FIG. 26C which is a diagrammatic elevational view of one embodiment of a concentrator 244' including an input optical arrangement 2S2 and an additional optical arrangement 233. The concentrator is configured for defining (i) an input aperture 260 for example as an outer periphery of the input arrangement having an input area for receiving incoming rays of light 14, (ii) an optical axis 47 passing through a central region 103 of the input aperture, (iii) a focus region 41 having a surface area that is substantially smaller than the input area and is located at an output position along the optical axis offset from the input aperture such that the optical axis passes through the focus region, and (iv) a receiving direction 34 defined as a vector that is characterized by a predetermined acute receiving angle ω with respect to the optical axis and one or both of the optical arrangements is rotatable about the optical axis for alignment of the receiving direction to receive the incoming rays of light. The input arrangement and the additional arrangement are further configured to cooperate with one another for focusing the plurality of input light rays to converge toward the optical axis until reaching the focus region such that the input light is concentrated at the focus region.

1214 While a number of embodiments described herein utilize a bender as the input arrangement, and an IOA as the additional arrangement, it is again noted that there is no requirement that the arrangements be disposed in this order. However, Applicants recognize that if a given concentrator is modified by re-arranging the order of the arrangements, in many cases, it may be necessary to substantially re-configure the arrangements themselves in order that they cooperate with one another to receive and concentrate the incoming rays of light in a manner that is at least generally consistent with the performance of optical concentrators (for example optical concentrator 26) described herein and throughout this overall disclosure. While substantial modifications of the optical arrangements may be required in conjunction with any particular re-ordering of the optical arrangements, Applicants believe that a person of ordinary skill in the art, having this disclosure in hand, may implement concentrator 244' in a variety of ways, utilizing a variety of optical arrangements, in accordance with the teachings herein and without adhering to any particular restriction as to ordering of the arrangements. For example, in one embodiment, as described previously, the input arrangement may be a bender, and the additional arrangement may be an IOA. In another embodiment, the input arrangement and the additional arrangement may both be configured as IOAs. It is further noted that there is no requirement that optical arrangements 252 and 255 should consist of only one optical component, ands that one or both of these optical arrangements may include a plurality of optical components.

Prism Wall Slope

1215 Referring again to FIGS. 25A and 25B, and considering the embodiment of bender 233 illustrated therein, it is again noted that in cases when the incoming rays of light enter bender 233 at an incoming angle that is equal to the bending angle (such that 9_m = β) then the output rays will exit the bender parallel with the optical axis thereof. Returning now to this description, the case where θ,„ is increased beyond β will be examined immediately hereinafter. ^216 Attention is again turned to FIG. 2SB, which, as described previously, illustrates the operation of bender 33 with respect to incoming rays of light 14 that are oriented to cause shading as will be described in further detail at appropriate points hereinafter. Input rays of light 14 enter at angle θ,„ of 40° from the optical axis; the internal ray angle φ may be 25.4° and the rays upon exiting may have _Μ = 17.8° directed to the right as shown in Figure 25B. In this example, light is bent by a bend angle of β = 22.2 degrees, however some of the exiting light rays encounter vertical wall 236 and are refracted off in a different direction, to cause shading, as will be discussed in greater detail immediately hereinafter.

5217 If the angle is sufficiently increased, then there will be a shading effect where some of the rays of light are interfered with by part of the bender, and these rays of light may no longer be parallel to the non-interfered rays of light. This shading effect is shown in Figure 2SB where the exiting rays of light designated by the reference numbers 92 are not limited. However, the output rays of light 92" may be at least partially blocked, and output rays 92'" are at least partially blocked. This shading effect can be minimized or removed by several methods including changing the slope of the vertical prism wall or modifying the top or bottom of the bender surface.

1218 Establishing the optimal slope of the prism walls is not a trivial matter and may be different for the bender than for an associated IOA. In the case above, for the 23° entering angle of light, the exit light was normal to the bender. This is the design case for the associated IOA. In this case, the internal ray angle was found to be 15°, thus the vertical wall could be sloped up to this 15° angle with no negative effects. Thus, under normal operation, this part of the associated IOA (between vertical and 13° should never transmit any light rays). This design freedom can be used to improve the prism performance by adjusting the prism corners (from vertical to slope and back to vertical) so that the area of the prism that interacts with the light will be more optimally oriented. In a similar manner, the bender can have its vertical wall modified to improve performance, however there are more trade-offs for the upper bender.

1219 In order to examine the prism wall effects, related aspects of operation of the operation of concentrators are observed. At least within a reasonable approximation, as described previously, a BRIC includes a bender that can be oriented to redirect the incoming light onto an exit cone followed by an IOA that accepts this light and redirects it to the target. In this basic embodiment, the illumination entering the bender is essentially redirected as it travels through the two optical arrangements (the bender and the IOA). In this description, the bender rotates as frequently as needed to keep the sun within its field of view. The IOA rotates in relation to the bender as needed to maintain the light on the target. The amount of rotation required is determined by the sun's movement through the sky in its daily and annual cycle. For an ideal location on earth, the sun's path moves +/- 23.5 degrees north to south to north annually and +/- 90 degrees as it moves east to west daily.

5220 Attention is now directed to FIG. 27 which is a diagrammatic view generally indicated by the reference number 240, illustrating the coverage of the sky where the horizontal axis of the rectangle corresponds with a daily tracking range 249 representing a portion of a given day from sunrise to sunset and the vertical axis of the rectangle corresponds with a seasonal tracking range 251 representing seasonal variation from summer to winter. The diagram (Figure 27) depicts this space and how the bender and the IOA cooperate with one another if the bender has a bending angle of 30° and if the IOA has a acceptance direction fixed at an angle of 30° relative to its associated optical axis. It is expected that the sun will traverse a straight line from left to right in the rectangular box each day, and this line will move from the top of the rectangle in winter to the bottom of the rectangle in the summer. The IOA coverage, as shown by the central circle 243 for the IOA and the series of circles 246 for the bender, is shown centered on the rectangle. This is the ideal configuration, but any particular installation may shift this configuration to be centered above or below the center of the rectangle.

¾221 Here it can be seen that a system, having a bender and an IOA, configured with the bender and the IOA matched with one another such that ξ = β = 30°, exhibits a lack of coverage in the morning and the evening (near sunrise and sunset). While the sunlight angle at these times is non- optimum for energy collection, it would still be beneficial to collect this energy since this represents a loss of potential energy conversion on a daily basis. 222 The IOA in Figure 27 may be composed of Prism-like Fresnel lens, as will, be described immediately hereinafter. In this regard, attention is now directed to FIGS. 28 which illustrates three different variations of bender and/or IOA cross-sections that may be employed as will be described immediately hereinafter. Each variation is shown in a region labeled as regions A-C separated by dashed lines. The central region B in Figure 28 is shown with vertical walls and sharp angles (i.e. not beveled) as the ideal configuration although not required. Practical manufacturing constraints, such as those imposed by injection molding or other plastic forming methods, make it more likely that the vertical walls will have a small slope (as shown to the left in Region A with one such slope indicated in the figure as a "non-vertical wall") and/or that the sharp comers will be rounded (as shown to the right in Region C). The sunlight comes from the top of FIG. 28, and of particular interest is the effect of the non-vertical wall (as in Region A), a "top apex 250 and a bottom apex 253 as shown. Depending on the time of day and day of the year, the sunlight can impinge on the associated bender or IOA at various angles, but at any given moment, the rays are parallel to each other. The bender or IOA is rotated so that the impinging rays strike the sloped surfaces and are redirected by an angle that is a function of the sloped wall. However, when the sun is directly over the bender or IOA, the sun's rays will enter the bender or IOA in a perpendicular direction and be parallel to the vertical walls. The sunlight will, however, strike the non-vertical wall, because of it's a small sloped angle, at approximately noon on the equinoxes. When the sun is east or west (early or late in the day compared to noon), or north or south (early or late in the year compared to the Spring or Autumn equinox) then the sun will enter the bender or IOA with an angle and may not strike the non-vertical wall. 223 If the vertical walls are perfectly vertical and top apex 250 and bottom apex 253 are perfectly sharp (not rounded), there will be no optical shading loss - i.e. nearly all of the light entering the bender or IOA will exit the bender or IOA in the preferred direction. However, cases where there is a slight slope to the vertical wall and/or the top apex and/or the bottom apex are not perfectly sharp, some of the incoming light will be redirected in a manner not consistent with the design expectation and will result in "shading" loss. These cases are shown in FIGS.28 wherein the areas the light that is not transmitted properly is noted at the non-vertical walls (as I_A in Region A), and for the non-sharp top apex 250' and non-sharp bottom apex 253' (as I_c in Region C). In these cases, the angle formed between the sunlight and the surface is not the expected or designed angle, and the light will not be sent in the appropriate direction, and this loss of sunlight can be mapped into a hole in the bender or IOA's coverage of the sky, as will be described hereinafter.

¾224 Attention is now directed to FIGS. 29A and 29B which are diagrams depicting the shading loss for the near vertical sunlight entry normally at the equinoxes when the sun entry angle is normal to the bender or IOA surface. 22S FIGS. 29A and 29B shows that the loss due to shading is limited to certain times of the year and then only at certain times of the day for the non-vertical wall and the non-ideal angles. When the amount of energy produced throughout the year is optimized, it is potentially advantageous to reduce the performance at certain times of the day and on certain days of the year if the gains in performance at other times and day are larger. Specifically, the design should call for and tolerate small angles on the vertical wall and curvature or non-sharp angles for the bottom apex of the bender and or IOA if these result in overall cost reductions or performance improvement when measured over the lifetime of the panel. Thus, a slight loss in performance for a short period of time on a few days of the year may be a good tradeoff if performance is enhanced by a greater amount at other times throughout the year. 226 Attention is now directed to FIG. 30 which is a diagram showing the loss of coverage for a 2 degree angle on the vertical wall and can also be used to understand the loss due to control of sharpness of the prism angles. Notice that an area 2S0 is a corresponding area of loss that is a nearly negligible loss compared to the total area of the collector. Even though it occurs during the prime solar energy time of day, it is for a very short time and for very few days, thus when averaged over the year, this is a very small loss of total energy production. f227 It is important to understand that sunlight at shallow angles near sunrise and sunset has less energy potential for a fixed panel design since the shallow angle reduces the amount of energy impinging upon the panel. Therefore it is more important to collect the light in the prime hours, and in the diagram above, this means centering coverage ring 243 horizontally unless there are other special conditions that may modify the theoretical sunlight distribution. The example shown in Figure 30 assumes a bender with bend angle design of 30° and an IOA with an acceptance angle having zenith angle of 30° which means coverage of the first 30° of sun in the morning and the last 30° of light before sunset are lost (since the two arrangements each are assumed to track 30° for a total of 60° out of a total of 90° for sunrise to noon and for noon to sunset). This loss can be regained by increasing the bend angle and the zenith angle to 45° for the bender and the IOA, respectively, as one example, but there is a limit to the total amount of bending that one optical arrangement can perform. When the two optical arrangements are designed to different associated bender and zenith angles, the coverage of the morning and evening sunlight can be increased at the cost of a hole in the center. The hole in the center would have a radius nearly equivalent to the difference in angles between the two IOAs. So combining a bender with a 30° bender angle and IOA with a 45° zenith angle would result in a 15° hole— or half the diameter of the current center circle.

1228 Additionally, while the IOA often is associated with a requirement that the light exiting it should normally be centered below it, the bender does not have this requirement. Thus the IOA has a fundamental optimal angle for the vertical wall based on the fact that the light entering the IOA is pre-determined and the light exiting the IOA (in the absence of concentration) must be vertical, this sets the vertical wall angle limits. Referring back to the discussions around Figure 25B, it was noted that for a properly designed IOA (with an exit ray angle normal to the IOA), the internal ray angle was 15° for that particular example; thus for that example, the vertical wall could have a slope as large as 15° and still not create a shadowing effect. For a refractive IOA, the vertical wall limit is a function of the index of refraction of the IOA, the wall angle of the IOA, and acceptance zenith angle β of the IOA. Since the bender does not require the light to exit normal to the surface, it has a different requirement for the vertical wall angle. This vertical wall angle can be adjusted to trade off performance at low angle as compared to high (near vertical) angles. Thus a shallower vertical wall angle 252 (See FIG. 28) may perform better when the sun is at a low entrance angle (as shown in Figure 2SB) since the shadowing effect will be reduced, but when the sun is directly overhead, this same shallow vertical wall^' angle will now cause a shadowing effect. As can be seen in Figure 2SB, when the vertical wall is truly vertical, there is a shading effect at low entrance angles, and this can be removed by adding a slope to the vertical wall. The penalty of adding a slope is that when the sun is directly overhead, the rays may hit the non-vertical wall and be misdirected. However since the sun is directly overhead only a few minutes a day for a few days per year, this loss of performance may improve overall (annual) performance due to the increased performance at morning and evening for all days of the year. (Also, as described later, if the bender has a tilt associated with it, then the sun's rays may never enter normal to the surface, so there may be no performance penalty associated with adding a slope to the vertical wall. 229 Attention is now directed to FIG. 31 which illustrates the coverage of the sky where the horizontal axis of the rectangle corresponds to a daily tracking range 249 representing a portion of a given day from sunrise to sunset and the vertical axis of the rectangle corresponds to a seasonal tracking range 2S 1 representing a given year from summer to winter. This shows the tradeoff between adding sky coverage in the morning and evening balanced against losing sky coverage for specific days around noon. The diagram is scaled for degrees in both the vertical and horizontal directions. However, if the actual time spent by the sun in each position of the rectangle is considered as well as the angle of the sun in each position (which translates to how much energy is convertible), it is seen that the vertical axis of +/- 23.5° actually represents 363 days of the year while the horizontal axis represents only 1 day. Further, the spacing between days on the vertical axis is not uniform— that is the sun does not move the same number of degrees each day towards the north and south. In fact, the sun moves faster around solstice (center of the vertical axis) and slows down at the winter and summer (ends of the vertical axis). So a small dot of non-coverage in the center does not impact very many days. The convertible energy from the sun is greatest in the midday sun (center of the horizontal axis) and least at the beginning and end of the day (ends of the horizontal axis). There is also a summer-winter effect where there is more convertible energy in the summer than the winter. When these are considered, there is an optimal combination of sky coverage near sunrise and sunset tradeoff with loss of coverage for a short period around noon for a few days around solstice. Accordingly, one angle can be used for the bender to limit shading losses while increasing the angle of the IOA to cover a greater portion of the sky each morning and evening. 230 Thus it may be desirable to reduce the noon optimal performance of a system in order to gain performance at other times of the day or year.

Method of Rotation of IOA 231 As described above, the optical arrangements (for example the bender and the IOA) may be selectively rotated such that a set of two or more optical arrangements in a given concentrator cooperate with one another in order to continuously compensate for the sun's motion for maintaining concentration of the sun's rays on a fixed (stationary) target, and one method of moving a particular optical arrangement is by rotation about the center axis of the arrangement. It is noted that, in all previous descriptions, rotation of the optical arrangements has been described with respect to the optical axis of each of the aforedescribed optical arrangements, and it is to be understood that the optical axis in the foregoing examples has been aligned to be collinear with an axis of rotation such that both the optical axis and the axis of rotation may be considered as equivalent for the descriptive purpose of serving as a reference axis in space. While as few as one concentrator may comprise a solar collector, it is also possible to construct a panel of multiple concentrators containing many optical arrangements wherein groups of optical arrangements can be rotatably controlled together using one or more drive mechanisms. The optical arrangements may be physically supported about their center, suspended by their edges, suspended in a fluid, or in any manner such that they may rotate in a controlled way.

Limits of Rotation 232 In order to consider a number of rotation methods and apparatus that are possible, it may be helpful to consider the requirement of the rotation needed to track the sun. In particular, if the rotation can be limited to less than 360 degrees, then this may simplify the motion and allow other forms of rotation. The amount of rotation required is determined by the sun's movement through the sky in its daily and annual cycle having seasonal variations. For any location on earth, the sun's path moves within a range of +/- 23.5 degrees north to south to north annually and it moves +/- 90 degrees (nominally) as it moves east to west daily. f 233 Attention is now directed to FIG. 32 which is a diagram schematically depicting this space and how the two optical arrangements cooperate with one another to cover this space in an example where the bender has a bend angle of β = 30° and the IOA has an acceptance direction with a zenith angle of ξ_λ= 30° such that the range of receiving directions for the collector describe a receiving cone with an area that is approximated in FIG. 32 as a circle. It is expected that the sun will traverse a straight line from left to right in rectangular box 2S7 each day, and this line will move from the top of the rectangle to the bottom of the rectangle and back to the top throughout the year. The IOA coverage 243, as shown by the circle for the IOA and the overall coverage of the series of circles 246 for the bender is shown centered on the rectangle. This is the ideal configuration, but it is not required and any given installation may shift this configuration to be centered above or below the center of the rectangle. f234 The pair of pointing directions 256 and the pair of pointing directions 259 on the same diagram show how there are two distinct solutions for the orientations of the optical arrangements for a light source at any particular point in the range of operation. By evaluating the extremes of +/- 23.5° (winter to summer) and the center line (solstice), it can be determined if the range of angles of the optical arrangements can be limited. 13S Notice that for a given concentrator including a particular bender-IOA combination, it is possible to bend the light from the incoming angle to the target by two different methods. In the context of Figure 32, it is possible to use a configuration that includes an IOA that is not pointing upward when the sun is located in the lower half of the diagram (from 0 to -23°). This means that we can confine the IOA to a 180 degree rotation plus the additional approximately 14° to accommodate the reverse rotation to the summer and the same approximately 14° to accommodate the reverse rotation to the winter. The 14° is found by taking the Tangent of the angle described by the east-west motion (90°) and the north-south motion (23°) which provides 14°. This means that the IOA can be confined to approximately a 208° rotation which is much less than the full 360° and permits simple linkages and other limited rotation methods to be used to orient the IOA.

^236 It is observed that the bender can be confined to a similar rotational limit if the two optical arrangements are properly paired (with bend angle equal to zenith angle as described above) since their function can be reversed as shown by the two pointing directions illustrated in figure 32. However, if the two optical arrangements (the bender and the IOA) are not compatible in this regard, then the limits may be different for the two IOAs. 237 In order to confine the rotation to these limited levels, it may require a discontinuity in angle orientation of the optical arrangements sometime during the day to switch the direction of thereof, although this can be accomplished fairly rapidly in comparison to the motion of the sun.

Rotational Methods 238 Two methods of rotating the IOA in an array configuration are disclosed. The bender is typically mounted as an array so that all of the benders in an array are rotated, for example by a first drive mechanism, synchronously with one another for maintaining the same orientation as one another. The IOAs may be configured in a separate array that such that all the IOA's are rotated, for example by a second drive mechanism, independently from the bender array, but controlled in a similar manner.

12 9 Attention is now turned to FIGS. 33A and 33B which illustrate diagrammatic elevational and plan views, respectively, of one example of a concentrator having a bender 33 that is tilted with respect to an IOA 32. The bender may be tilted, relative to the IOA to improve the acceptance angles allowed for the concentrator by a fixed tilt angle 261 that is set so that optical axis 47 of the bender is at least approximately aligned to the acceptance direction of the IOA. Thus, if the IOA exhibits an acceptance direction having a zenith angle of 30 degrees, then the bender may be tilted at a tilt angle of approximately 30 degrees or less. This allows the top bender to function in a way that is analogous to a bender used in conjunction with a concentrating lens to implement an IOA, as was depicted in FIG. 31. As has been discussed previously, the bender in a multi-element (bender + lens) IOA is operated with light rays exiting it parallel to the optical axis, which significantly reduces shading losses. A top bender operating at a tilt approximately equal to the acceptance direction of the following IOA operates under the same condition: light rays will exit it parallel to the bender's tilted optical axis and shading losses will be significantly reduced. However, in order to facilitate this desirable arrangement, as the IOA rotates to track the sun, the tilted optical axis of the bender can rotate to stay aligned with the acceptance direction of the IOA.

¾240 A single drive mechanism can be configured for rotating both the bender and the IOA in a coordinated way to maintain tracking by causing the tilt direction to follow the acceptance direction of the lower IOA. The bender would also be allowed to rotate around its own optical axis. Thus two rotations are still required: (i) the full concentrator rotation of both IOAs about the IOAs optical axis 47' and (ii) the rotation of the bender about its own tilted axis 47. A filament 264 can serve as at least a part of a drive mechanism to provide rotation of IOA 32 and the bender such that the IOA and the bender are rotatably coupled with one another. The tilt angle can be reduced, but should be larger than zero to gain an advantage in accepting lower angle sunlight and in reducing the effect of the non- vertical walls of the IOA, if a prism array configuration is used. 2 1 Attention is now directed to FIG. 34 which illustrates another example of a concentrator wherein a bender 33 can be controlled by wrapping a filament 264 such that it extends around a peripheral edge of IOA 32 first, then wraps around and grips a peripheral edge of bender 33 to provide bender control. The filament is routed from the IOA to the bender at a junction 269 where the two optical arrangements are nearest. Filament 264 can be firmly gripping (and/or fixedly attached with) the bender so that it rotates the bender without affecting the IOA.

5242 Attention is now directed to FIG. 35 which represents a concentrator having a bender that is linked through a hub 270 attached with the IOA such that the bender rides on the hub as shown in FIG. 35. The illustration of FIG. 35 is schematic in nature, and it is to be understood that the illustrated configuration can be achieved in a number of different configurations.

5243 Attention is now directed to FIG. 36 which is a schematic diagram showing some examples of bender-IOA tilt by utilizing a ramp method. The ramp method uses a first ramp 272 on the upper part of the IOA and a second ramp 275 on the bottom of the bender. Thus, when the two optical arrangements are pointed in the same direction the ramps add in height and tilt the bender; when the optical arrangements are pointed in opposite directions (such as when the sun is directly overhead), then the ramps cancel and the arrangements are parallel to each other.

5244 When we consider the function of the bender, there is a tradeoff between increasing the top angle, which in turn increases the amount of the early moming and late evening sun that is accessible, and shading loss, which increases with increasing top angle.

5245 Attention is now directed to FIG. 37 which is a plan view showing an array of four concentrators that are rotatably coupled with one another through a drive mechanism including a filament 264, typically thread, chain, and/or wire, that can be wrapped around a portion of each bender in the array so that as the filament is moved, it causes the benders to rotate about their associated axes. The pattern of the filament is made so that there may be little or no slippage of the benders and each bender rotates the same amount; a serpentine pattern can be used in this embodiment. A groove or slot in the circumference of the benders may be used to keep the filament in place around the optical arrangement. Alternatively, the filament may be self centering by using a band or tape or similar method. ¾2 6 The filament is moved by a motor 267 which drives the filament in a controlled manner to rotate the benders to the proper angle. At least one motor for each array may be used, or one motor 268 with a shifting transmission to connect the motor to either one of the arrays may be used. The filament may wrap around an output shaft of the motor, and then proceed around each of the benders in the array. Center posts 271 may be used to wrap the filament a half-turn so that the filament changes direction after leaving one lens and before entering the next lens. If a larger array is needed, then additional center posts could be added. Thus if the filament is moving down from the right side of one lens, then it can be guided such that it moves up as it enters the left side of the adjacent lens. While FIG. 37 is a plan view, and therefore illustrates only benders which are positioned as input arrangements for initially receiving input rays of light (not shown), it is recognized that the same techniques may be applied with respect to IOA'S (not shown in FIG. 37) and that the same Filament may wrap around IOA, for example in accordance with FIGS. 33 and 34. f247 Attention is now turned to FIG. 38 which is a schematic representation illustrating yet another example of a drive mechanism for rotating the optical arrangements 280 using gears where each optical arrangement could have a set of teeth (not shown) that mesh with a drive gear 283. In the present example, a central gear 283 with gear teeth (not shown) around the outside of the gear may rotate, causing optical arrangements 280 that are meshed with central gear 283 to rotate. It is noted that this same method of rotation could be expanded for any number of optical arrangements such that the optical arrangements have gear teeth that would mesh with the central gear to allow for rotation. Furthermore, one or more additional gears (or filaments) could connect some of the drive gears to, or each gear could be driven by its own distinct motor. 2 8 Attention is now turned to FIGS 39A and 39B which are diagrammatic plan and elevational views, respectively, of a solar collector constructed as a panel enclosure and generally indicated by reference number 289. The panel enclosure houses a concentrator array. As discussed previously, the concentrators may be organized into the array in patterns that are rectangular, hexagonal, or of any other shape that may provide for a high areal efficiency in the packing of the concentrators. Control filaments (not shown) may run in a fashion that rotatably couples the concentrators so that selected optical arrangements within each concentrator rotate synchronously with the corresponding selected optical arrangements in the other concentrators. For example, filaments may link the rotation of benders in each concentrator so that they synchronously rotate together and additional filaments may similarly synchronously link the rotation of the IOAs within each concentrator. Therefore, at least in the example at hand, when one bender rotates 10 degrees clockwise, then all benders rotate 10 degrees clockwise, and the IOAs do not rotate. Or, when one IOA rotates 60 degrees counter- clockwise, then all IOAs rotate 60 degrees counter-clockwise, and the benders do not rotate. In this regard, the drive mechanism is to be considered as rotatably coupling all the benders with one another, and as rotatably coupling all the IOAs with one another. The side view of Figure 39B also shows reflective concentrators 291 below the IOA. 2 9 Attention is now directed to FIG. 40 which is a diagrammatic plan view of a concentrator having a bender 33, an IOA 32, and a concentrating arrangement 300. The optical arrangements including the bender, the IOA, and the concentrating arrangement are set above focus region 41 at a distance such that the light energy is uniformly illuminating the focus region as seen in Figure 40. This distance is variable and is a trade-off between lens efficiency (longer is better) and compact panel size (shorter is better).

5250 Bender 33 can utilize an array of prisms with each prism having a width, or pitch, of 1 mm. Each prism indicates a sloped wall that is at an angle of approximately 40 degrees relative to the surface tangent, and a vertical wall that is approximately 90 degrees to the surface tangent. This sloped-wall/vertical-wall pattern repeats over the full surface of the bender. 251 At least with respect to the example at hand, it may be desirable for the sloped wall angle to be maximized to produce the largest acceptance angle possible given the index of refraction of the material. The maximum angle is calculated when the rays of light enter vertically and are bent as far as possible, which is given by the critical (Total Internal Reflection) angle. This angle is ©(prism) = arcsin(l/n), where n is the index of refraction. Thus, for an index of refraction of 1.5, the maximum angle is 41.8 degrees. If the prism includes a 90 degree vertical angle, then the prism ramp angle generally should not exceed this and should be less than this angle to allow for tolerance and a larger field of view of the sun. One exemplary design choice is the use of a 40 degree angle, though with a higher index of refraction material, the angle can be different. 252 The vertical side wall of each prism may also be modified if direct light above the lens is not to be completely concentrated to the target. This may be useful in examples wherein the top lens is tilted with respect to the line connecting the center of the lens to the center of the target. This may also be useful if more of the lower angle performance can be gained at the expense of the near vertical performance, which only occur a few minutes a day for a few days per year.

5253 The pitch (prism width) can be adjusted based upon the sharpness of the corners of the prism (more rounded corners of the prism produce losses so a larger pitch may be preferred) and the volume of material of the prism (a larger pitch require more material which is more costly and will produce more optical aberrations).

†254 By way of example, the bender can be a disk of acrylic with a diameter of 120mm and maximum thickness of 2mm with a 3mm hole centered for support, and the prisms can be integrally formed with the disk. The bender disk rotates about a center hole. The outer rim of the disk can include a slot to accept a filament that provides for rotation. The flat side of the bender can face towards the sun and the prismatic side is facing the target. This bender may be made by standard casting or injection molding techniques. Any suitable dimensions can be used so long as the device functions consistent with these descriptions.

¾255 In the example at hand, concentrator 300 immediately follows the IOA. The concentrator can be configured such that that it causes a focus region spot size of 30mm at the design distance of 12cm. In one embodiment, the IOA and the concentrator are integrated into one optical element which removes two optical interfaces. This IOA will have a complex surface related to the convolution of the light bending prisms and the concentrating Fresnel and should be numerically modeled for optimal efficiency. The examples described herein are in no way intended to be limiting, and it is to be understood that there are innumerable solutions to this lens shape, that are considered to enable overall performance, as described. The IOA may be fabricated using a variety of well- known manufacturing techniques, including but not limited to injection molding and the like. It is to be understood that the concentrator need not be integrally fabricated with the rotating IOA refractive element, and that in another embodiment, the concentrator may be a compound parabolic concentrator (CPC) or similar reflective concentrator that can be arranged as a separate and distinct component from the rotating IOA refractive element. Additionally, the IOA could be completely reflective where the reflective element bends the light and concentrates the light; thus the system could comprise one refractive IOA bender and one reflective IOA as the complete optical system.

¾256 In the example at hand, the bender can be rotated about its axis by filament 264 and the IOA may be rotated about its axis by filament 264'. A PV solar cell 303 of 30mm diameter can be fixedly centered under the concentrator so that it may be fully illuminated. The PV solar cell can be attached to a metal backing plate (not shown) which may serve as a heat sink for the thermal energy added by the concentrated solar radiation. Note, that as compared to a standard non-concentrating solar panel, this BRIC method has nearly the same solar density and thermal density, thus the thermal penalty for a BRIC panel should be no greater than that of a standard solar panel without concentration. 5257 This design has a theoretical concentration of 16 as the sun's rays are captured over a 120mm diameter area and concentrated over a 30mm diameter area resulting in a 4x reduction in diameter and a 16x reduction in area. However, due to an approximate 4% reflective loss on each lens interface, (6 optical interfaces), the lens efficiency is approximately 78%, and a protective cover layer (not shown) is typically about 90% efficient, resulting in a concentration factor of about 1 1. All values are for demonstration only and any suitable values may be used so long as the device functions consistent with these overall descriptions.

5258 Control circuitry (not shown) may be configured to direct the filaments 264 and 264' to move causing the bender and the IOA to rotate in such a manner that the sun's rays are illuminating focus region 41 for reception by PV cell 303 at least at times when the rays are within the range of receiving angles of the concentrator.

5259 Variations with respect to FIG.40 include: combining the IOA and the concentrator into one integral optical arrangement; tilting the bender to point more closely towards the sun; using a different rotational method other than the outer diameter drive filaments 264 and 264'; replacing the PV cell with multiple receivers; removing a central rotation hub 306 and supporting each of the three optical arrangements by their respective edges or sides; using multiple concentrators in side-by-side relationships with one another to concentrate onto one single target and so on.

5260 Attention is now directed to FIG. 41 in conjunction with FIG. 22B and FIGS. 26A and 26B. FIG.41 is a diagrammatic elevational view of a concentrator, generally indicated by reference number 310 utilizing a bender 33 (as an input optical arrangement) followed by a multi element IOA 32"' (indicated in the figure with a dashed box). The multi-element IOA includes a bender 234 and a reflector 206" having a parabolic contour. Bender 234 accepts intermediate rays of light 39 and redirects the accepted rays for collection by reflector 206" which collects and concentrates the redirected light into focus region 41, as illustrated in FIG. 41.

5261 In one embodiment, bender 33 and bender 234 may be configured to cooperate with one another such that output rays 92' exiting bender 234 may be collimated (parallel with one another) in an orientation that is at least approximately parallel with optical axis 47. With regard to this embodiment, Applicants believe that a person of ordinary skill in the art will recognize that there are a variety of well known techniques for utilizing parabolic reflective surface for collecting and concentrating collimated light. For example, reflector 206" may be configured as a compound parabolic concentrator (CPC) according to well known techniques. Examples of these techniques are discussed in "Nonimaging Optics" by Roland Winston, Juan C. Minano, and Pablo Benitez; published by Elsevier Academic, and CPCs that are suitable for use in the applications described herein are commercially available from such companies as Isuzu Glass (www.isuzuglass.com) of Osaka, Japan or Edmund Optics (www.edmundoptics.com) of Barrington, NJ USA. While an example utilizing collimated output rays 92' has been presented herein for purposes of descriptive clarity, it is to be appreciated that there is no requirement that output rays 92' should be collimated and/or parallel with optical axis 47, and a person of ordinary skill in the art, having this overall disclosure in hand, may readily implement a variety of configurations in which reflector 206" can be configured to collect output rays 92' that have been received and bent by bender 234 and are neither collimated nor parallel with optical axis 47. However, it is to be appreciated, based on well known principles of optics, that a given reflector 206", in order to collect and concentrate the light as described herein, may require that output rays 92' fall within some predetermined range of angles relative to optical axis 47

1262 With ongoing reference to FIG. 41 it is noted that bender 33 and bender 234 may be selectively rotated with respect to one another and relative to the orientation of the incoming rays of light, in order for the bender and the multi element IOA to cooperate with one another, in accordance with the descriptions in this overall disclosure, for receiving and concentrating incoming rays of light 14. It is further noted that in one variation of the embodiment described herein, reflector 206" may be attached to bender 234 such that bender 234 and reflector 206" co-rotate. In another variation, reflector 206" may be stationary in the earth's frame of reference such that it does not rotate with bender 234.

¾263 While a number of exemplary aspects and embodiments have been discussed above, those of skill in the art will recognize certain modifications, permutations, additions and sub-combinations thereof. It is therefore intended that the following appended claims and claims hereafter introduced are interpreted to include all such modifications, permutations, additions and sub-combinations as are within their true spirit and scope.

CONCEPTS

As short summaries, this writing has disclosed at least the following broad concepts. Concept 1. A solar collector comprising:

one or more solar concentrators arranged in an array such that each of said concentrators is in a fixed position with a fixed alignment in said array and each of said concentrators is configured to define (i) an input aperture having an input area such that the solar collector is positionable to face the input aperture of each concentrator in a skyward direction such that said input aperture is oriented to receive sunlight from the sun, (ii) an input axis of rotation that extends through said aperture in said skyward direction, and (iii) a focus region that is substantially smaller than said aperture area, and each of said concentrators includes an optical assembly having at least one optical arrangement that is supported for rotation about said input axis for tracking the sun within a predetermined range of positions of said sun using no more than said rotation of the optical arrangement around the input axis such that said rotation does not change the direction of the aperture from said skyward direction, wherein for any specific one of said positions within said predetermined range of positions, said optical arrangement is rotatably oriented, as at least part of said tracking, at a corresponding rotational orientation as at least part of concentrating the received sunlight within said focus region, for subsequent collection and use as solar energy.

Concept 2. The solar collector of Concept 1 wherein for said specific one of said positions of said sun, a rotational misalignment caused by rotating the optical arrangement away from said corresponding rotational orientation causes at least some of said received sunlight to be directed outside of said focus region.

Concept 3. The solar collector of Concept 1 wherein said optical arrangement serves as an input arrangement for initially receiving the sunlight, and said optical assembly includes an additional optical arrangement following said input arrangement to accept the sunlight from the input arrangement and configured for rotation about an additional axis of rotation, and said input arrangement and said additional arrangement are configured to cooperate with one another in performing said tracking based at least in part on a predetermined relationship between (i) said rotation of said input arrangement about said input axis of rotation and (ii) rotation of said additional arrangement about said additional axis of rotation to focus the received sunlight into the focus region.

Concept 4. The solar collector of Concept 3 wherein said additional axis of rotation and said input axis of rotation are at least approximately parallel with one another. Concept 5. The solar collector of Concept 3 wherein said additional axis of rotation and said input axis of rotation are collinear with one another.

Concept 6. The solar collector of Concept 3 wherein said input optical arrangement is configured for bending the received sunlight for acceptance by said additional optical arrangement, and said additional optical arrangement is configured for accepting and redirecting the bent light to cause said focusing.

Concept 7. The solar collector of Concept 3 including a group of two or more of said solar concentrators and a drive mechanism rotatably couples all of said input arrangements in said group to collectively rotate all of said input arrangements while maintaining, during said tracking, at least approximately the same rotational orientation for all of the input arrangements as at least part of causing the optical assemblies in the group to track the sun in a synchronized way.

Concept 8. The solar collector of Concept 7 wherein said drive mechanism is further configured for rotatably coupling all of said additional arrangements in said group to collectively rotate all of said additional arrangements while maintaining, during said tracking, at least approximately the same rotational orientation for all of the additional arrangements as at least part of causing the optical assemblies in the group to track the sun in said synchronized way.

Concept 9. The solar collector of Concept 8 wherein said additional arrangement and said input arrangement of each concentrator are rotatably coupled with one another through said drive arrangement such that a first amount of rotation of one of said input arrangement or said additional arrangement causes a second amount of rotation in the other one of the input arrangement or the additional arrangement, and the predetermined relationship is maintained throughout said tracking at least in part as a result of said coupling.

Concept 10. The solar collector of Concept 3 wherein said optical assembly is configured to define a receiving direction as a vector that is characterized by a predetermined acute receiving angle with respect to the input axis such that the input axis and the receiving direction define a plane, and which receiving direction extends in one azimuthal direction outward from the input axis in said plane, such that said receiving direction is adjustable, based on a coordinated rotation of said input arrangement and of said additional arrangement, for performing said tracking of said sun.

Concept 1 1. The solar collector of Concept 10 wherein said input optical arrangement is configured for bending the received sunlight for acceptance by said additional optical arrangement, and said additional optical arrangement is configured for accepting and redirecting the bent light to cause said focusing.

Concept 12. The solar collector of Concept 3 wherein said input arrangement defines an at least generally planar configuration, and said input arrangement includes a planar input surface that defines said input aperture.

Concept 13. The solar collector of Concept 12 wherein said input arrangement is configured for bending the received light rays.

Concept 14. The solar collector of Concept 13 wherein said additional arrangement is a CPC following said input arrangement to accept the light rays from the input arrangement, and the CPC is configured to cause said focusing.

Concept 15. The solar collector of Concept 14 wherein said CPC is a reflective CPC configured for performing said focusing by reflecting the light rays received from the input arrangement to the focus region.

Concept 16. The solar collector of Concept 13 wherein said optical assembly includes an IOA following said input arrangement to accept the light rays from the input arrangement, and the IOA is configured to cause said focusing.

Concept 17. The solar collector of Concept 1 wherein said optical arrangement serves as an input arrangement for initially receiving the sunlight, and said optical assembly includes an additional optical arrangement following said input arrangement to accept the sunlight from the input arrangement and configured for rotation about an additional axis of rotation, and said input arrangement and said additional arrangement are configured to cooperate in performing said tracking based at least in part on said rotation of said input arrangement about said input axis of rotation.

Concept 18. The solar collector of Concept 17 wherein said optical assembly is configured to define a receiving direction as a vector that is characterized by a predetermined acute acceptance angle with respect to the input axis such that the input axis and the receiving direction define a plane, and which receiving direction extends in one azimuthal direction outward from the input axis in said plane, such that said receiving direction is rotatably adjustable, based at least in part on said rotation of said input arrangement. Concept 19. The solar collector of Concept 18 wherein said input optical arrangement is configured for bending the received sunlight for acceptance by said additional optical arrangement, and said additional optical arrangement is configured for accepting and redirecting the bent light to cause said focusing.

Concept 20. The solar collector of Concept 17 wherein said input arrangement defines an at least generally planar configuration, and said input arrangement includes a planar input surface that defines said input aperture.

Concept 21. The solar collector of Concept 20 wherein said input arrangement is configured for bending the received light rays for acceptance by said additional arrangement.

Concept 22. The solar collector of Concept 21 wherein said additional arrangement is a CPC following said input arrangement to accept the light rays from the input arrangement, and the CPC is configured to cause said focusing.

Concept 23. The solar collector of Concept 22 wherein said CPC is a reflective CPC configured for performing said focusing by reflecting the light rays accepted from the input arrangement to the focus region.

Concept 24. An optical concentrator comprising

an optical assembly having one or more optical arrangements including an input optical arrangement, and said optical assembly is configured for

defining (i) an input aperture having an input area for receiving a plurality of input light rays, (ii) an optical axis passing through a central region within said input aperture, (iii) a focus region having a surface area that is substantially smaller than the input area and is located at an output position along said optical axis offset from the input aperture such that said optical axis passes through said focus region, and (iv) a receiving direction defined as a vector that is characterized by a predetermined acute receiving position with respect to said optical axis such that the optical axis and the receiving direction define a plane, and which receiving direction extends in one azimuthal direction outward from the optical axis in said plane such that at least the input arrangement is rotatable about the optical axis for alignment of the receiving direction to receive a plurality of input light rays that are each at least approximately antiparallel with said vector, and

thereafter, focusing the plurality of input light rays to converge toward said optical axis until reaching said focus region such that the input light is concentrated at the focus region. Concept 25. The optical concentrator Concept 24 wherein said focus region includes a given area and for at least some of said input light that is characterized by at least a particular amount of misalignment with the receiving direction, that input light is rejected by falling outside of the given area of the focus region.

Concept 26. The optical concentrator of Concept 24 wherein said input arrangement defines an at least generally planar configuration, and said input arrangement includes a planar input surface that defines said aperture.

Concept 27. The optical concentrator of Concept 26 wherein said optical assembly includes an additional optical arrangement following said input arrangement, and said input arrangement is configured for bending the received light rays for acceptance by said additional arrangement.

Concept 28. The optical concentrator of Concept 27 wherein said additional arrangement is a CPC configured to accept the light rays from the input arrangement, and the CPC is configured to cause said focusing.

Concept 29. The optical concentrator of Concept 27 wherein said CPC is a reflective CPC configured for performing said focusing by reflecting the light rays received from the input arrangement to the focus region.

Concept 30. The optical concentrator of Concept 27 wherein said additional arrangement is an IOA configured to accept the light rays from the input arrangement, and the IOA is configured to cause said focusing.

Concept 31. The optical concentrator of Concept 30 wherein said IOA is configured for selective rotation about said optical axis, and said input arrangement and said IOA are configured to cooperate with one another in performing said receiving and said focusing based at least in part on (i) said rotation of said input arrangement about said optical axis and (ii) said rotation of said IOA.

Concept 32. An inverted off-axis lens, comprising:

an optical arrangement having an at least generally planar configuration defining (i) a planar input surface having an input surface area and (ii) an axis of rotation that is at least generally perpendicular thereto; and

said optical arrangement is configured for

defining an acceptance direction as a vector that is characterized by a predetermined acute acceptance angle with respect to said axis of rotation such that the axis of rotation and the acceptance direction define a plane, and which acceptance direction extends in one fixed azimuthal direction outward from the axis rotation in said plane such that the optical arrangement is rotatable about the axis for alignment of the acceptance direction to accept a plurality of input light rays that are each at least approximately antiparallel with said vector, and

thereafter, transmissively passing the plurality of input light rays through said optical arrangement while focusing the plurality of input light rays to converge toward one another until reaching a focus region that is substantially smaller than the input surface area such that the input light is concentrated at the focus region.

Concept 33. The inverted off-axis lens of Concept 32 wherein said focus region includes a given area and for at least some of said input light that is characterized by at least a particular amount of misalignment with the acceptance direction, that input light is rejected by falling outside of the given area of the focus region.

Concept 34. The inverted off axis lens of Concept 32 wherein said focal region is located along said axis of rotation offset from the input surface area such that said axis of rotation passes through said focal region.

Concept 35. The inverted off axis lens of Concept 32 wherein said optical arrangement further defines an output surface that is at least generally parallel with said input surface and spaced therefrom by a thickness, and at least part of said thickness refracts said plurality of input light rays to cause the focusing of the light rays.

Concept 36. The inverted off axis lens of Concept 32 wherein said optical arrangement is integrally formed of an optical material.

Concept 37. The inverted off axis lens of Concept 36 wherein said optical arrangement includes a plurality of optical prisms to accept and focus said input light rays.

Concept 38. The inverted off axis lens of Concept 35 wherein said optical arrangement includes a plurality of optical prisms that are configured to cooperate with one another to accept and the focus said input light rays, and the prisms are integrally formed of an optical material.

Concept 39. The inverted off axis lens of Concept 38 wherein at least a subset of said plurality of prisms is integrally formed with said input surface. Concept 40. The inverted off axis lens of Concept 38 wherein at least a subset of said plurality of prisms is integrally formed with said output surface.

Concept 41. The inverted off axis lens of Concept 38 wherein a first subset of said plurality of prisms is integrally formed with said input surface, and a second subset of said plurality of prisms is integrally formed with said output surface,

Concept 42. The inverted off axis lens of Concept 41 wherein said first and second subsets of prisms are cooperatively configured to cooperate with one another for accepting and focusing said input light rays, and wherein said first subset of prisms is configured for bending the input light rays for acceptance by said second set of prisms, and said second subset of prisms is configured to cause said focusing of said input light rays.

Concept 43. A solar concentrator for collecting and concentrating a plurality of mutually parallel incoming rays of sunlight, said solar concentrator including the inverted off axis lens of Claim 32 arranged in a series relationship following an input optical arrangement with the input surface of the off axis lens facing towards the input arrangement, and the inverted off axis lens and the input arrangement are each configured for selective rotation to cooperate with one another such that

the input arrangement initially receives said incoming light rays and bends the incoming light rays to produce intermediate light rays for acceptance by said inverted off-axis lens such that the intermediate light rays are at least approximately oriented antiparallel to said acceptance direction, and

said inverted off axis lens is aligned for accepting said intermediate light rays such that said intermediate light rays serve as said input light rays for said inverted off axis lens and the inverted off axis lens concentrates the intermediate light rays at said focus region of said inverted off-axis lens.

Concept 44. The solar concentrator of Concept 43 wherein said input arrangement is aligned with said axis of rotation, and said inverted off axis lens and said input arrangement are configured to cooperate with one another to define a receiving direction as a vector that is characterized by a predetermined acute acceptance angle with respect to the axis of rotation such that the axis of rotation and the receiving direction define a plane, and which receiving direction extends in one azimuthal direction outward from the axis of rotation in said plane, such that said receiving direction is rotatably adjustable, based on a coordinated rotation of said input arrangement and of said additional arrangement. Concept 45. The solar concentrator of Concept 43 wherein said input arrangement is concentrically aligned on said axis of rotation of said inverted off axis lens such that said selective rotation of said input arrangement revolves around said axis of rotation.

Concept 46. The solar concentrator of Concept 45 wherein said input arrangement includes an input axis of rotation that is skewed with respect to said axis of rotation of said inverted off axis lens such that said input arrangement is ti liable toward the sun.

Concept 47. The solar collector of Concept 44 including a receiver following said inverted off-axis lens, said receiver having a receiving surface facing towards the off axis lens and aligned such that the receiving surface at least partially overlaps said focus region, and said receiver is configured such that at least some of the concentrated input light is absorbed by said receiver and converted into a form of energy.

Concept 48. The solar collector of Concept 47 wherein said receiver is configured for converting the absorbed input light into electrical energy as said form of energy.

Concept 49. The solar collector of Concept 48 wherein the receiver is configured for converting the absorbed light into thermal energy as said form of energy.

Concept 50. The solar collector of Concept 49 wherein said receiver is in thermal communication with a fluid and said receiver is configured such that at least a portion of said thermal energy is transferred to said fluid.

Concept 51. The solar collector of Concept 50 wherein said receiver is configured for passing a liquid therethrough, and at least some of said thermal power is transferred to said liquid for subsequent use outside of said receiver.

Concept 52. A multi-element inverted off-axis optical assembly, comprising:

an optical assembly having two or more optical arrangements including a first arrangement that defines (i) an input aperture having an input area and (ii) an axis of rotation that is at least generally perpendicular thereto; and

said optical arrangements are configured to cooperate with one another for

defining an acceptance direction as a vector that is characterized by a predetermined acute acceptance angle with respect to said axis of rotation such that the axis of rotation and the acceptance direction define a plane, and which acceptance direction extends in one azimuthal direction outward from the axis of rotation in said plane, and at least said first arrangement is supported for motion that is limited to rotation about said axis of rotation for alignment of the acceptance direction to accept said plurality of input light rays that are each at least approximately antiparallel with said vector, and thereafter, focusing the plurality of input light rays to converge toward one another until reaching a focus region that is substantially smaller than the input surface area such that the input light is concentrated at the focus region.

Concept 53. The multi-element inverted off axis optical assembly of Concept 52 wherein said first arrangement is positioned for initially accepting said plurality of input light rays and said optical assembly includes a second optical arrangement following said first arrangement to collect the light rays from the first arrangement, and said first arrangement and said second arrangement are configured to cooperate in performing said accepting and said focusing based at least in part on said rotation of said first arrangement about said axis of rotation.

Concept 54. The multi-element inverted off axis optical assembly of Concept 53 wherein said second optical arrangement is rotatably fixed such that the second optical arrangement is not rotatable.

Concept 55. The multi element inverted off axis optical assembly of Concept 53 wherein said first arrangement and said second arrangement are fixedly attached to one another for simultaneous rotation such that said first arrangement and said second optical arrangement co-rotate together with one another as part of said alignment of said acceptance direction.

Concept 56. The multi element inverted off axis optical assembly of Concept 53 wherein said first optical arrangement is configured for bending the received input light rays for acceptance by said second optical arrangement, and said second optical arrangement is configured for collecting and redirecting the bent light to cause said focusing.

Concept 57. The multi-element inverted off axis optical assembly of Concept 53 wherein said second arrangement is a CPC.

Concept 58. A solar concentrator for collecting and concentrating a plurality of mutually parallel incoming light rays, said solar concentrator including the multi-element inverted off axis optical assembly of Concept 52 arranged in a series relationship following an input arrangement that is aligned on said optical axis of said inverted off axis optical assembly with the input arrangement with the input surface of the off axis optical assembly facing towards the input arrangement, and the inverted off axis optical assembly and the input arrangement are each configured for selective rotation to cooperate with one another such that

the input arrangement initially receives said incoming light rays and bends the incoming light rays to produce intermediate light rays for acceptance by said inverted off-axis optical assembly such that the intermediate light rays are at least approximately oriented anti-parallel to said acceptance direction, and

said intermediate light rays serve as said input light rays for said inverted off axis optical assembly such that the inverted off axis optical assembly concentrates the intermediate light rays at said focus region of said inverted off-axis optical assembly.

Concept 59. The solar collector of Concept 58 including a receiver having a receiving surface facing towards the off axis optical assembly and aligned such that the receiving surface at least partially overlaps said focus region, and said receiver is configured such that at least some of the concentrated input light is absorbed by said receiver and converted into power.

Concept 60. A method for solar collection, said method comprising:

arranging one or more solar concentrators in an array to position each of said concentrators in a fixed location with a fixed alignment in said array and configuring each of said concentrators for defining (i) an input aperture having an input area such that the solar collector is positionable to face the input aperture of each concentrator in a skyward direction with said input aperture oriented to receive sunlight from the sun, (ii) an input axis of rotation that extends through said aperture in said skyward direction, and (iii) a focus region that is substantially smaller than said input aperture; configuring each of said concentrators with an optical assembly having at least one optical arrangement and supporting said optical arrangement for rotation about said input axis for tracking the sun within a predetermined range of positions of said sun using no more than said rotation of the optical arrangement around the input axis such that said rotation does not change the direction of the aperture from said skyward direction; and

for any specific one of said positions within said predetermined range of positions, rotatably orienting said optical arrangement, as at least part of said tracking, to a corresponding rotational orientation as at least part of concentrating the received sunlight within said focus region, for subsequent collection and use as solar energy.

Concept 61. A method for focusing collimated light, said method comprising:

configuring an optical IOA arrangement for defining (i) a planar IOA input surface having an input surface area and (ii) an axis of rotation that is at least generally perpendicular thereto; and further configuring said optical IOA arrangement for defining an acceptance direction as a vector that is characterized by a predetermined acute acceptance angle with respect to said axis of rotation such that the axis of rotation and the acceptance direction define a plane, and which acceptance direction extends in one fixed azimuthal direction outward from the axis rotation in said plane such that the optical arrangement is rotatable about the axis for alignment of the acceptance direction for accepting a plurality of input light rays, as said collimated light, that are each at least approximately antiparallel with said vector, such that said plurality of input light rays transmissively pass through said optical IOA arrangement and are concentrated by focusing the plurality of input light rays to converge toward one another until reaching a focus region that is substantially smaller than the input surface area.

Concept 62. A method for concentrating a plurality of mutually parallel rays of sunlight, said method comprising:

providing an input optical arrangement for initially receiving a plurality of incoming rays of sunlight;

positioning the optical IOA arrangement of Concept 61 in a series relationship following the input arrangement with the input surface of the optical IOA arrangement facing towards the input optical arrangement;

supporting the optical IOA arrangement and the input arrangement for selective rotation to cooperate with one another such that the input optical arrangement re-directs the incoming rays of sunlight to produce a set of intermediate rays of sunlight, for acceptance by said optical IOA arrangement, such that said intermediate rays of light are at least approximately oriented anti-parallel to said acceptance direction of said optical IOA arrangement; and

accepting said intermediate light rays with said optical IOA arrangement such that said intermediate light rays serve as said input light rays for said optical IOA arrangement and (ii) concentrating the intermediate light rays at said focus region of said inverted off-axis lens.

Claims

What is claimed is:

1. A solar collector comprising:

2. The solar collector of Claim 1 wherein for said specific one of said positions of said sun, a rotational misalignment caused by rotating the optical arrangement away from said corresponding rotational orientation causes at least some of said received sunlight to be directed outside of said focus region.

3. The solar collector of Claim 1 wherein said optical arrangement serves as an input arrangement for initially receiving the sunlight, and said optical assembly includes an additional optical arrangement following said input arrangement to accept the sunlight from the input arrangement and configured for rotation about an additional axis of rotation, and said input arrangement and said additional arrangement are configured to cooperate with one another in performing said tracking based at least in part on a predetermined relationship between (i) said rotation of said input arrangement about said input axis of rotation and (ii) rotation of said additional arrangement about said additional axis of rotation to focus the received sunlight into the focus region.

4. The solar collector of Claim 3 wherein said additional axis of rotation and said input axis of rotation are at least approximately parallel with one another.

5. The solar collector of Claim 3 wherein said additional axis of rotation and said input axis of rotation are collinear with one another.

6. The solar collector of Claim 3 wherein said input optical arrangement is configured for bending the received sunlight for acceptance by said additional optical arrangement, and said additional optical arrangement is configured for accepting and redirecting the bent light to cause said focusing.

7. The solar collector of Claim 3 including a group of two or more of said solar concentrators and a drive mechanism rotatably couples all of said input arrangements in said group to collectively rotate all of said input arrangements while maintaining, during said tracking, at least approximately the same rotational orientation for all of the input arrangements as at least part of causing the optical assemblies in the group to track the sun in a synchronized way.

8. The solar collector of Claim 7 wherein said drive mechanism is further configured for rotatably coupling all of said additional arrangements in said group to collectively rotate all of said additional arrangements while maintaining, during said tracking, at least approximately the same rotational orientation for all of the additional arrangements as at least part of causing the optical assemblies in the group to track the sun in said synchronized way.

9. The solar collector of Claim 8 wherein said additional arrangement and said input arrangement of each concentrator are rotatably coupled with one another through said drive arrangement such that a first amount of rotation of one of said input arrangement or said additional arrangement causes a second amount of rotation in the other one of the input arrangement or the additional arrangement, and the predetermined relationship is maintained throughout said tracking at least in part as a result of said coupling.

10. The solar collector of Claim 3 wherein said optical assembly is configured to define a receiving direction as a vector that is characterized by a predetermined acute receiving angle with respect to the input axis such that the input axis and the receiving direction define a plane, and which receiving direction extends in one azimuthal direction outward from the input axis in said plane, such that said receiving direction is adjustable, based on a coordinated rotation of said input arrangement and of said additional arrangement, for performing said tracking of said sun.

1 1. The solar collector of Claim 10 wherein said input optical arrangement is configured for bending the received sunlight for acceptance by said additional optical arrangement, and said additional optical arrangement is configured for accepting and redirecting the bent light to cause said focusing.

12. The solar collector of Claim 3 wherein said input arrangement defines an at least generally planar configuration, and said input arrangement includes a planar input surface that defines said input aperture.

13. The solar collector of Claim 12 wherein said input arrangement is configured for bending the received light rays.

14. The solar collector of Claim 13 wherein said additional arrangement is a CPC following said input arrangement to accept the light rays from the input arrangement, and the CPC is configured to cause said focusing.

15. The solar collector of Claim 14 wherein said CPC is a reflective CPC configured for performing said focusing by reflecting the light rays received from the input arrangement to the focus region.

16. The solar collector of Claim 13 wherein said optical assembly includes an IOA following said input arrangement to accept the light rays from the input arrangement, and the IOA is configured to cause said focusing.

17. The solar collector of Claim 1 wherein said optical arrangement serves as an input arrangement for initially receiving the sunlight, and said optical assembly includes an additional optical arrangement following said input arrangement to accept the sunlight from the input arrangement and configured for rotation about an additional axis of rotation, and said input arrangement and said additional arrangement are configured to cooperate in performing said tracking based at least in part on said rotation of said input arrangement about said input axis of rotation.

18. The solar collector of Claim 17 wherein said optical assembly is configured to define a receiving direction as a vector that is characterized by a predetermined acute acceptance angle with respect to the input axis such that the input axis and the receiving direction define a plane, and which receiving direction extends in one azimuthal direction outward from the input axis in said plane, such that said receiving direction is rotatably adjustable, based at least in part on said rotation of said input arrangement.

19. The solar collector of Claim 18 wherein said input optical arrangement is configured for bending the received sunlight for acceptance by said additional optical arrangement, and said additional optical arrangement is configured for accepting and redirecting the bent light to cause said focusing.

20. The solar collector of Claim 17 wherein said input arrangement defines an at least generally planar configuration, and said input arrangement includes a planar input surface that defines said input aperture.

21. The solar collector of Claim 20 wherein said input arrangement is configured for bending the received light rays for acceptance by said additional arrangement.

22. The solar collector of Claim 21 wherein said additional arrangement is a CPC following said input arrangement to accept the light rays from the input arrangement, and the CPC is configured to cause said focusing.

23. The solar collector of Claim 22 wherein said CPC is a reflective CPC configured for performing said focusing by reflecting the light rays accepted from the input arrangement to the focus region.

24. An optical concentrator comprising

defining (i) an input aperture having an input area for receiving a plurality of input light rays, (ii) an optical axis passing through a central region within said input aperture, (iii) a focus region having a surface area that is substantially smaller than the input area and is located at an output position along said optical axis offset from the input aperture such that said optical axis passes through said focus region, and (iv) a receiving direction defined as a vector that is characterized by a predetermined acute receiving position with respect to said optical axis such that the optical axis and the receiving direction define a plane, and which receiving direction extends in one azimuthal direction outward from the optical axis in said plane such that at least the input arrangement is rotatable about the optical axis for alignment of the receiving direction to receive a plurality of input light rays that are each at least approximately anti-parallel with said vector, and

thereafter, focusing the plurality of input light rays to converge toward said optical axis until reaching said focus region such that the input light is concentrated at the focus region.

25. The optical concentrator Claim 24 wherein said focus region includes a given area and for at least some of said input light that is characterized by at least a particular amount of misalignment with the receiving direction, that input light is rejected by falling outside of the given area of the focus region.

26. The optical concentrator of Claim 24 wherein said input arrangement defines an at least generally planar configuration, and said input arrangement includes a planar input surface that defines said aperture.

27. The optical concentrator of Claim 26 wherein said optical assembly includes an additional optical arrangement following said input arrangement, and said input arrangement is configured for bending the received light rays for acceptance by said additional arrangement.

28. The optical concentrator of Claim 27 wherein said additional arrangement is a CPC configured to accept the light rays from the input arrangement, and the CPC is configured to cause said focusing.

29. The optical concentrator of Claim 27 wherein said CPC is a reflective CPC configured for performing said focusing by reflecting the light rays received from the input arrangement to the focus region.

30. The optical concentrator of Claim 27 wherein said additional arrangement is an IOA configured to accept the light rays from the input arrangement, and the IOA is configured to cause said focusing.

31. The optical concentrator of Claim 30 wherein said IOA is configured for selective rotation about said optical axis, and said input arrangement and said IOA are configured to cooperate with one another in performing said receiving and said focusing based at least in part on (i) said rotation of said input arrangement about said optical axis and (ii) said rotation of said IOA.

32. An inverted off-axis lens, comprising:

said optical arrangement is configured for

defining an acceptance direction as a vector that is characterized by a predetermined acute acceptance angle with respect to said axis of rotation such that the axis of rotation and the acceptance direction define a plane, and which acceptance direction extends in one fixed azimuthal direction outward from the axis rotation in said plane such that the optical arrangement is rotatable about the axis for alignment of the acceptance direction to accept a plurality of input light rays that are each at least approximately anti-parallel with said vector, and

33. The inverted off-axis lens of Claim 32 wherein said focus region includes a given area and for at least some of said input light that is characterized by at least a particular amount of misalignment with the acceptance direction, that input light is rejected by falling outside of the given area of the focus region.

34. The inverted off axis lens of Claim 32 wherein said focal region is located along said axis of rotation offset from the input surface area such that said axis of rotation passes through said focal region.

35. The inverted off axis lens of Claim 32 wherein said optical arrangement further defines an output surface that is at least generally parallel with said input surface and spaced therefrom by a thickness, and at least part of said thickness refracts said plurality of input light rays to cause the focusing of the light rays.

36. The inverted off axis lens of Claim 32 wherein said optical arrangement is integrally formed of an optical material.

37. The inverted off axis lens of Claim 36 wherein said optical arrangement includes a plurality of optical prisms to accept and focus said input light rays.

38. The inverted off axis lens of Claim 35 wherein said optical arrangement includes a plurality of optical prisms that are configured to cooperate with one another to accept and the focus said input light rays, and the prisms are integrally formed of an optical material.

39. The inverted off axis lens of Claim 38 wherein at least a subset of said plurality of prisms is integrally formed with said input surface.

40. The inverted off axis lens of Claim 38 wherein at least a subset of said plurality of prisms is integrally formed with said output surface.

41. The inverted off axis lens of Claim 38 wherein a first subset of said plurality of prisms is integrally formed with said input surface, and a second subset of said plurality of prisms is integrally formed with said output surface,

42. The inverted off axis lens of Claim 41 wherein said first and second subsets of prisms are cooperatively configured to cooperate with one another for accepting and focusing said input light rays, and wherein said first subset of prisms is configured for bending the input light rays for acceptance by said second set of prisms, and said second subset of prisms is configured to cause said focusing of said input light rays.

43. A solar concentrator for collecting and concentrating a plurality of mutually parallel incoming rays of sunlight, said solar concentrator including the inverted off axis lens of Claim 32 arranged in a series relationship following an input optical arrangement with the input surface of the off axis lens facing towards the input arrangement, and the inverted off axis lens and the input arrangement are each configured for selective rotation to cooperate with one another such that

the input arrangement initially receives said incoming light rays and bends the incoming light rays to produce intermediate light rays for acceptance by said inverted off-axis lens such that the intermediate light rays are at least approximately oriented anti-parallel to said acceptance direction, and

44. The solar concentrator of Claim 43 wherein said input arrangement is aligned with said axis of rotation, and said inverted off axis lens and said input arrangement are configured to cooperate with one another to define a receiving direction as a vector that is characterized by a predetermined acute acceptance angle with respect to the axis of rotation such that the axis of rotation and the receiving direction define a plane, and which receiving direction extends in one azimuthal direction outward from the axis of rotation in said plane, such that said receiving direction is rotatably adjustable, based on a coordinated rotation of said input arrangement and of said additional arrangement.

45. The solar concentrator of Claim 43 wherein said input arrangement is concentrically aligned on said axis of rotation of said inverted off axis lens such that said selective rotation of said input arrangement revolves around said axis of rotation.

46. The solar concentrator of Claim 45 wherein said input arrangement includes an input axis of rotation that is skewed with respect to said axis of rotation of said inverted off axis lens such that said input arrangement is tiltable toward the sun.

47. The solar collector of Claim 44 including a receiver following said inverted off-axis lens, said receiver having a receiving surface facing towards the off axis lens and aligned such that the receiving surface at least partially overlaps said focus region, and said receiver is configured such that at least some of the concentrated input light is absorbed by said receiver and converted into a form of energy.

48. The solar collector of Claim 47 wherein said receiver is configured for converting the absorbed input light into electrical energy as said form of energy.

49. The solar collector of Claim 48 wherein the receiver is configured for converting the absorbed light into thermal energy as said form of energy.

50. The solar collector of Claim 49 wherein said receiver is in thermal communication with a fluid and said receiver is configured such that at least a portion of said thermal energy is transferred to said fluid.

51. The solar collector of Claim 50 wherein said receiver is configured for passing a liquid therethrough, and at least some of said thermal power is transferred to said liquid for subsequent use outside of said receiver.

52. A multi-element inverted off-axis optical assembly, comprising:

said optical arrangements are configured to cooperate with one another for

53. The multi-element inverted off axis optical assembly of Claim 52 wherein said first arrangement is positioned for initially accepting said plurality of input light rays and said optical assembly includes a second optical arrangement following said first arrangement to collect the light rays from the first arrangement, and said first arrangement and said second arrangement are configured to cooperate in performing said accepting and said focusing based at least in part on said rotation of said first arrangement about said axis of rotation.

54. The multi-element inverted off axis optical assembly of Claim 53 wherein said second optical arrangement is rotatably fixed such that the second optical arrangement is not rotatable.

55. The multi element inverted off axis optical assembly of Claim 53 wherein said first arrangement and said second arrangement are fixedly attached to one another for simultaneous rotation such that said first arrangement and said second optical arrangement co-rotate together with one another as part of said alignment of said acceptance direction.

56. The multi element inverted off axis optical assembly of Claim 53 wherein said first optical arrangement is configured for bending the received input light rays for acceptance by said second optical arrangement, and said second optical arrangement is configured for collecting and redirecting the bent light to cause said focusing.

57. The multi-element inverted off axis optical assembly of Claim 53 wherein said second arrangement is a CPC.

58. A solar concentrator for collecting and concentrating a plurality of mutually parallel incoming light rays, said solar concentrator including the multi-element inverted off axis optical assembly of Claim 52 arranged in a series relationship following an input arrangement that is aligned on said optical axis of said inverted off axis optical assembly with the input arrangement with the input surface of the off axis optical assembly facing towards the input arrangement, and the inverted off axis optical assembly and the input arrangement are each configured for selective rotation to cooperate with one another such that the input arrangement initially receives said incoming light rays and bends the incoming light rays to produce intermediate light rays for acceptance by said inverted off-axis optical assembly such that the intermediate light rays are at least approximately oriented anti-parallel to said acceptance direction, and

59. The solar collector of Claim 58 including a receiver having a receiving surface facing towards the off axis optical assembly and aligned such that the receiving surface at least partially overlaps said focus region, and said receiver is configured such that at least some of the concentrated input light is absorbed by said receiver and converted into power.

60. A method for solar collection, said method comprising:

61. A method for focusing collimated light, said method comprising:

configuring an optical IOA arrangement for defining (i) a planar IOA input surface having an input surface area and (ii) an axis of rotation that is at least generally perpendicular thereto; and further configuring said optical IOA arrangement for

defining an acceptance direction as a vector that is characterized by a predetermined acute acceptance angle with respect to said axis of rotation such that the axis of rotation and the acceptance direction define a plane, and which acceptance direction extends in one fixed azimuthal direction outward from the axis rotation in said plane such that the optical arrangement is rotatable about the axis for alignment of the acceptance direction for accepting a plurality of input light rays, as said collimated light, that are each at least approximately anti-parallel with said vector, such that said plurality of input light rays transmissively pass through said optical IOA arrangement and are concentrated by focusing the plurality of input light rays to converge toward one another until reaching a focus region that is substantially smaller than the input surface area.

62. A method for concentrating a plurality of mutually parallel rays of sunlight, said method comprising:

positioning the optical IOA arrangement of Claim 61 in a series relationship following the input arrangement with the input surface of the optical IOA arrangement facing towards the input optical arrangement;