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WO2008082412A1 - Méthode et procédé permettant de mesurer des caractéristiques de prismes - Google Patents

Méthode et procédé permettant de mesurer des caractéristiques de prismes Download PDF

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Publication number
WO2008082412A1
WO2008082412A1 PCT/US2007/000030 US2007000030W WO2008082412A1 WO 2008082412 A1 WO2008082412 A1 WO 2008082412A1 US 2007000030 W US2007000030 W US 2007000030W WO 2008082412 A1 WO2008082412 A1 WO 2008082412A1
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WIPO (PCT)
Prior art keywords
sin
angle
prism
sheet
light beam
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PCT/US2007/000030
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English (en)
Inventor
Dennis Joseph Coyle
Micah Sakiestewa Sze
Masako Yamada
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General Electric Co
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General Electric Co
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Priority to PCT/US2007/000030 priority Critical patent/WO2008082412A1/fr
Publication of WO2008082412A1 publication Critical patent/WO2008082412A1/fr
Anticipated expiration legal-status Critical
Ceased legal-status Critical Current

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    • G—PHYSICS
    • G02—OPTICS
    • G02B—OPTICAL ELEMENTS, SYSTEMS OR APPARATUS
    • G02B5/00—Optical elements other than lenses
    • G02B5/04—Prisms
    • G02B5/045—Prism arrays
    • G—PHYSICS
    • G01—MEASURING; TESTING
    • G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N21/00—Investigating or analysing materials by the use of optical means, i.e. using sub-millimetre waves, infrared, visible or ultraviolet light
    • G01N21/17—Systems in which incident light is modified in accordance with the properties of the material investigated
    • G01N21/41—Refractivity; Phase-affecting properties, e.g. optical path length

Definitions

  • the method and the apparatus are used for measuring the prism apex angle (hereinafter the apex angle), the prism skew angle (hereinafter the skew angle) and the refractive index of the material used in the prism.
  • Prism sheets are manufactured by pressing a malleable material against a prism- shaped mold.
  • Possible manufacturing processes include melt calendaring, embossing, injection molding, compression molding, casting and curing of thermally cured resin onto a substrate, and casting and curing of UV cured resin onto a substrate
  • the mold can be an electroform which is a replica of a drum that has a negative image of a prism surface machined on its outer surface by using a turning machine such as a lathe.
  • Many other micro-machining techniques can also be employed, including those that create a flat master, such as micro-milling, and fly- cutting.
  • the negative image of the prism surfaces can be manufactured with a cutting tool made of hard material such as diamond. It can also be manufactured through other micro-texturing methods such as laser engraving and photolithography.
  • Defective brightness enhancing display films generally have prism apex angles or skew angles that vary from the desired values. Differences of minutes or even seconds in the apex angle or in the skew angle can affect performance.
  • the quality of the calculated angles is limited by the quality of the image itself; for example, the image may be out of focus or lack sufficient resolution. It is also difficult to make a cross-section of a sample absolutely perpendicular to the prism direction, be it through microtoming, or through dragging a contact probe across the sample. The sample can become deformed by the blade or the probe, as well. Hence, such . techniques cannot provide quantitative values of the apex angle or the skew angle with the degree of accuracy demanded of optical applications.
  • optical grade microstructured films requires accurate and reproducible measurements of both material refractive index and film geometry (e.g., the apex angle and the skew angle).
  • a refractive index difference in the third decimal place may affect performance of the end product (e.g., liquid crystalline displays).
  • a method comprising illuminating a first surface and a second surface of a microstructured prism on a prism sheet with an incident light beam; wherein the first surface is illuminated by the incident light beam at an angle ⁇ i with respect to a normal drawn to the first surface and wherein the second surface is illuminated by the incident light beam at an angle ⁇ i with respect to a normal drawn to the second surface; and wherein a third surface of the microstructured prism contacts a surface of a sheet substrate of the prism sheet; and further wherein the third surface is inclined at an angle of 90 degrees to the incident light beam; measuring a first distance "di" between a first image and a perpendicular to the surface of the substrate sheet on a measuring device that is disposed on an opposite side of the prism sheet from a light source used for the illuminating; wherein the perpendicular to the surface of the substrate sheet is taken at a point where the bisector of the apex angle of the prism meets the surface of
  • ni is the refractive index of the media in which the measurement is made and n 2 is the refractive index of the prism sheet; and determining at least one value for either ⁇ i, ⁇ i Om 2 .
  • a method comprising illuminating a first surface and a second surface of a microstructured prism on a prism sheet with an incident light beam; wherein the first surface is illuminated by the incident light beam at an angle ⁇ i with respect to a normal drawn to the first surface and wherein the second surface is illuminated by the incident light beam at an angle ⁇ ( with respect to a normal drawn to the second surface; and wherein a third surface of the microstructured prism contacts a surface of a sheet substrate of the prism sheet; measuring a first distance "dj" between a first image and a perpendicular to the surface of the substrate sheet on a measuring device that is disposed on an opposite side of the prism sheet from a light source used for the illuminating; wherein the perpendicular to the surface of the substrate sheet is taken at a point where the bisector of the apex angle of the prism meets the surface of the substrate sheet in contact with the third surface of the prism; and wherein the first image
  • ni the refractive index of the media in which the measurement is made
  • n 2 the refractive index of the prism sheet
  • a method comprising illuminating a first surface and a second surface of a microstructured prism on a prism sheet with an incident light beam; wherein the first surface is illuminated by the incident light beam at an angle ⁇ i with respect to a normal drawn to the first surface and wherein the second surface is illuminated by the incident light beam at an angle ⁇ i with respect to a normal drawn to the second surface; wherein a third surface of the microstructured prism contacts a surface of a sheet substrate of the prism sheet; and further wherein the third surfaced is inclined at an angle of (90 + ⁇ ) degrees to the incident light beam; measuring a first distance "d t " between a first image and a perpendicular to the surface of the substrate sheet on a measuring device that is disposed on an opposite side of the prism sheet from a light source used for the illuminating; wherein the perpendicular to the surface of the substrate sheet is taken at a point where the bisector of the apex angle of
  • d ⁇ is the distance between the prism sheet and the measuring device, ni is the refractive index of the media in which the measurement is made and n 2 is the refractive index of the prism sheet; and determining at least one value for the apex angle, the skew angle or the refractive index from the equations (3) and (4).
  • a method comprising illuminating a first surface and a second surface of a microstrucrured prism on a prism sheet with an incident light beam; wherein the microstrucrured prisms are disposed upon a substrate sheet; and wherein a back surface of the sheet substrate is perpendicular to the incident light beam; measuring a first distance "df between a first image and a perpendicular to the back surface of the substrate sheet on a measuring device that is disposed on an opposite side of the prism sheet from a light source used for the illuminating; measuring a second distance "d 2 " between a second image and the perpendicular to the back surface of the substrate sheet on the measuring device; substituting values for di and 0 2 in the equation (1) and (2) below:
  • a method comprising illuminating a first surface and a second surface of a microstructured prism on a prism sheet with an incident light beam; wherein the first surface is illuminated by the incident light beam at an angle ⁇ with respect to a normal drawn to the first surface and wherein the second surface is illuminated by the incident light beam at an angle ⁇ i with respect to a normal drawn to the second surface; wherein a back surface of the prism sheet is inclined at an angle of (90 + ⁇ ) degrees to the incident light beam; measuring a first distance "di" between a first image and a perpendicular to the surface of the substrate sheet on a measuring device that is disposed on an opposite side of the prism sheet from a light source used for the illuminating; measuring a second distance "d 2 " between a second image and the perpendicular to the surface of the substrate sheet on the measuring device; substituting values for di and d 2 in the equation (3) and (4) below:
  • ni is the refractive index of the media in which the measurement is made and n 2 is the refractive index of the prism sheet; and determining at least one value for the apex angle, the skew angle or the refractive index from the equations (3) and (4).
  • a method comprising illuminating a first surface and a second surface of a microstructured prism on a prism sheet with an incident light beam; wherein the first surface is illuminated by the incident light beam at an angle ⁇ i with respect to a normal drawn to the first surface and wherein the second surface is illuminated by the incident light beam at an angle ⁇ i with respect to a normal drawn to the second surface; and wherein a back surface of the prism sheet is perpendicular to the incident light beam; measuring a first distance "d
  • ni is the refractive index of the media in which the measurement is made and n 2 is the refractive index of the prism sheet.
  • Figure 1 is an exemplary depiction of a set-up 10 that is used for determining the apex angle, the skew angle and the refractive index n 2 of the prism sheet where convention is that di is to the left of the light source (when the observer is facing the measuring device) and is assumed to be negative in value while d 2 is to the right of the light source and is assumed to be positive in value;
  • Figure 2 is a depiction of the set-up 10 of Figure 1, wherein the prism sheet 4 is rotated through an angle ⁇ where the assumed convention is that ⁇ is positive in the counter-clockwise direction;
  • Figure 3 is an exemplary embodiment of a prism sheet 4 that comprises microstructured prisms 14 disposed upon a sheet substrate 24;
  • Figure 4 is a photomicrograph showing microstructured prisms disposed upon a sheet substrate
  • Figure 5 is an exemplary depiction of one embodiment of a geometrical construction that provides equations that can be used to determine the skew angle and the refractive indices;
  • Figure 6 is an exemplary depiction of another embodiment of a geometrical construction that provides equations that can be used to determine the skew angle and the refractive indices; in this construction either the light source or the prism sheet is rotated at an angle ⁇ from the position occupied in the Figure 5; and
  • Figure 7 is a graphical representation showing the decrease in 95% confidence intervals for the calculated refractive index, apex angle and skew angle values by increasing the number of rotation angles ⁇ .
  • the method comprises disposing a sample having a patterned surface such as, for example, a microstructured prismatic surface in the path of a monochromatic, collimated, light beam and measuring the location of two first order light peaks on a measuring device located on an opposing side of the prism sheet from the light source. A set of equations is then used to determine the apex angle of the prism sheet, the skew angle of the prism sheet as well as the refractive index of the resin used in the prism sheet.
  • the apparatus 10 comprises a light source 2 and a measuring device 6 between which is disposed the prism sheet 4.
  • the light source 2 used to illuminate the prisms on the prism sheet comprises a monochromatic, narrow, collimated radiation source.
  • the light source 2 can be a laser.
  • the light source 2 is a 633 nanometer helium neon (HeNe) laser that operates at a power of 1 milliwatt (mW).
  • the sample-holder can be aligned by using a diffraction grating.
  • the prism sheet 4 is mounted on an angular micrometer that is generally located at a distance of about 180 centimeters from the light source 2.
  • the prism sheet 4 is mounted on the angular micrometer in a manner such that the microstructured prisms on the prism sheet 4 face the incident beam of light.
  • the transmitted light from the prism sheet 4 is projected onto a measuring device 6.
  • the measuring device is disposed on a side of the prism sheet 4 that is opposed to the side upon which the light beam is incident. The distance between the prism sheet 4 and the measuring device 6 indicated by d3.
  • Measuring di, d'i, d' 2 and d 2 permit the apex angle, the skew angle and the refractive index n 2 of the prism sheet 4 to be simultaneously determined. Values for di, which lies to the left of the incident beam are assumed to be negative, while values for d 2 , which lies to the right of the incident beam are assumed to be positive.
  • the measuring device 6 is a ruled scale and is generally located at a distance d 3 effective to bring an image of the refracted beam into focus.
  • the distance between the measuring device 6 and the prism sheet 4 is about 50 to about 60 centimeters.
  • the distance between the measuring device 6 and the prism sheet 4 is about 52 to about 58 centimeters.
  • the distance between the measuring device 6 and the prism sheet 4 is about 54 to about 56 centimeters.
  • the distance between the measuring device 6 and the prism sheet 4 is about 54.60 to 55.5 centimeters.
  • any effective measuring device can be used to determine the location of the image of the refracted beam, as long as the location can be measured accurately. Examples include projecting the spots onto paper printed with calibrated lines or a grid and reading off the values; projecting the spots onto a surface treated with thermally or optically sensitive material to "burn" the locations of the spots to be measured later; projecting the spots onto an array of light detectors, for example a CCD, where the locations of the spots can be extracted electronically (either analog or digital signal); projecting the spots onto a wall and using a ruler, tape measure, or other scale to measure the location of the spots.
  • Figure 3 is an exemplary depiction of one embodiment of the prism sheet.
  • the prism sheet 4 comprises acrylate microstructured prisms 14 disposed on a polyester or polycarbonate sheet substrate 24.
  • the prism sheet can alternatively be entirely constructed of one material and thus have no internal interfaces.
  • the valleys and the peaks of the prism sheet are also collectively referred to as prism grooves.
  • the surface of the prism is referred to as the prism surface.
  • the surface of the sheet opposed to the prism surface is termed the back surface.
  • the acrylate microstructured prisms 14 generally have a height "h" of about 12 to about 25 micrometers and a base width "w" of about 24 to about 50 micrometers.
  • the prism sheet has a refractive index indicated by " ⁇ ". While the Figure 3 shows a single interface between the prisms 14 and the sheet substrate 24, there can be more than a single interface in the prism sheet 4. It is generally desirable that the interface is flat.
  • a multi-layered plastic substrate can also be used as a prism sheet so long as the layers are parallel to each other.
  • the method described herein is equally applicable to a monolithic prism film (one without interfaces) as it is to a prism disposed upon a single or multilayered sheet substrate.
  • Figure 4 shows a photomicrograph of the prisms that are disposed upon a prism sheet 4.
  • the prisms are not evenly distributed on the surface of the prism sheet 4 and exhibit curvature (angular modulation).
  • measuring the apex angle and skew angle of a straight microstructured prism sheet is difficult when using equipment such as, for example, a microtome, a contact profileometer, scanning and transmission electron microscopes, atomic force microscopes and other methods that explore a cross-section of the prism sheet.
  • the projected spots are diffuse, with the center of the diffuse spot providing information about the apex angle and skew angle.
  • the projected spots are sharp, with the center of the sharp spot providing information about the apex angle and skew angle.
  • the construction in the Figure 5 represents one method of determining the refractive index, when the light from the light source is incident upon the prism sheet such that the beam is perpendicular to the surface of the prism sheet that is opposed to the surface upon which the beam is incident. It is also assumed that the back surface of the film (that is opposed to the surface upon which the microstructured prisms are disposed) is flat.
  • the Figure 5 depicts the beam of light as being incident on a single prism for purposes of simplicity. In reality, the illuminating beam is incident upon several prisms at the same time.
  • the image formed on the ruled scale represents the projection of the image of the beam after being refracted through several prisms.
  • the ray PiQi makes an angle ⁇ 2 with respect to the normal to the first surface AB of the prism 4 and an angle ⁇ 3 with respect to the normal to the surface GH of the sheet substrate GHML.
  • the ray Q 1 R 3 makes an angle ⁇ 4 with respect to the normal to the surface GH of the sheet substrate and an angle ⁇ 5 with respect to the normal to the surface LM of the sheet substrate prior to exiting the sheet substrate and impinging on the measuring device and forming a first image at point F.
  • the ray R3F makes an angle ⁇ o with respect to the normal to the surface of the sheet substrate LM.
  • a ray of light O 3 P 3 incident on the second surface AC of the prism is refracted and travels along the path P 3 Q 3 and Q 3 R 3 prior to exiting the prism sheet 4 and impinging on the measuring device 6 at point E.
  • the ray O 3 P 3 is incident upon the second surface AC at an angle ⁇ i with respect to a normal P3X3 at the face AC, while the ray P 3 Q 3 makes an angle ⁇ 2 with respect to the normal P 3 X 3 to AC and an angle ⁇ 3 with respect to the normal at GH.
  • the ray Q 3 R 3 makes and angle ⁇ 4 with respect to the normal at GH and an angle ⁇ 5 with respect to the normal at LM.
  • the ray R 3 E makes an angle ⁇ o with the normal at LM prior to impinging on the measuring device and forming a second image at point E.
  • the distance between the sheet substrate and the measuring device is termed the "adjacent" distance and is denoted as 'W in the equations that follow.
  • the distance of the image of the beam from the "imaginary" image of the apex on the measuring device is termed the “opposite” distance.
  • the opposite distance between the second image E and S 3 (the imaginary image of the apex) is called the second distance and is denoted as “d 2 ", while the distance between the first image F and S 3 is called the first distance and is denoted as "d,".
  • ni the refractive index of the ambient media that the measurements are made in.
  • equations (1) and (2) In attempting to solve equations (1) and (2), it is to be noted that there 2 equations with 3 unknown terms (i.e., ⁇ j, ⁇ ⁇ and n 2 ). In order to determine the apex angle and the skew angle, it is desirable for one of the terms from amongst ⁇ i, ⁇ i and n 2 to be known or to be arrived at independently. In one embodiment, n 2 , the refractive index of the prisms can be obtained independently from a supplier or from a refractive index table, thereby permitting a solution of equations (1) and (2) and obtaining values for ⁇ i and ⁇ j.
  • a solution to equations (1) and (2) can be obtained via iteration, thereby obtaining values for ⁇ j, ⁇ i and n 2 . If a solution is obtained via iteration, then it is possible that two values of n 2 can be obtained. These values are generally proximate to each other and may differ only by an amount that can be attributed to experimental error.
  • either the film or the light source can be rotated through two different angles and measurements made to determine the apex angle, the skew angle and the refractive index.
  • Figure 6 depicts the embodiment, when the prism sheet 4 or the light source is rotated through an angle ⁇ .
  • the angle ⁇ is the difference in angle between the position occupied by the prism sheet 4 when it is perpendicular to the incident light beam and the position occupied by the prism sheet 4 after rotation.
  • the value of ⁇ can be measured and is therefore known.
  • the construction in the Figure 6 is similar to that in Figure 5, except that all angles have to be compensated for by the angle ⁇ .
  • the back surface is inclined at an angle equal to (90 + ⁇ ) degrees to the incident beam.
  • Equations (3) and (4) are as follows:
  • information about the apex angle, the skew angle and the refractive index can be simultaneously obtained.
  • the conventions, described above, for the signs of di and d 2 are followed here as well.
  • information about the apex angle, the skew angle and the refractive index can be simultaneously obtained by solving equations (1) and (3).
  • Information about the apex angle, the skew angle and the refractive index can also be simultaneously obtained by solving equations (2) and (4).
  • two values of n2 may be arrived at. These values generally lie within the limits of experimental error and can be averaged to obtain a single value if desired.
  • the methods seen in the Figure 5 and the Figure 6 can be combined to obtain a better approximation of the apex angle, the skew angle as well as the refractive index of the prism sheet.
  • the first and second measurements may be made with the prism sheet rotated at angles ⁇ i and ⁇ 2 with respect to the prism sheet.
  • the angles ⁇ i and P2 represent the difference in angles between the position occupied by the prism sheet 4 when it is perpendicular to the incident light beam and the successive positions occupied by the prism sheet 4 after rotation.
  • the refractive index, the apex prism and the skew angle can be determined by solving the equations (5), (6), (7) and (8) below.
  • ⁇ i, ⁇ ⁇ , and d 3 have their usual meanings as indicated above and wherein d"i and d" 2 , are the respective distances between the refracted images of the beam and a normal to the surface of the sheet substrate (represented by S 3 in the Figure 5 when the sheet substrate is normal to the incident beam), when the prism sheet is rotated through ⁇ i, while ⁇ '" ⁇ and ⁇ '" ⁇ are the distances between the images the normal to the sheet substrate, when the prism sheet is rotated through ⁇ 2 .
  • ⁇ i, ⁇ ⁇ , and d 3 have their usual meanings as indicated above and wherein d"i and d" 2 , are the respective distances between the refracted images of the beam and a normal to the surface of the sheet substrate (represented by S 3 in the Figure 5 when the sheet substrate is normal to the incident beam), when the prism sheet is rotated through ⁇ i, while ⁇ '" ⁇ and ⁇ '" ⁇ are the distances between the images the normal to the sheet
  • n 2 n 1 )" values of n 2 . It is to be noted that m is an integer that can have values of greater than or equal to about 5, greater than or equal to about 10, greater than or equal to about 100, if desired.
  • equation (21) can be solved numerically if desired. This is accomplished by using a numerical minimization scheme.
  • the obtaining of multiple values for ⁇ j, ⁇ i and n 2 and averaging these values is useful because it can help overcome two sources of potential error in the method of measurement, which are as follows: a) the incident light source has a finite width which leads to a "spread" of the projected images on the ruled scale and b) the resolution with the parameters di, d 2 , d$ and ⁇ can be measured. It is also to be noted that higher angles of ⁇ (empirically) give rise to additional measurement error because it's harder to read the values off the ruled scale. Thus, there is a limit to the number of rotational angles ⁇ through which the prism, sheet can be rotated in order to make measurements.
  • the above-described method and apparatus are advantageous in that it they can be used to examine prism sheets without destroying the prism' sheet.
  • This is a cost effective, sensitive method for simultaneously measuring the apex angle, the skew angle and the refractive index of micro-structured prisms and sheets.
  • the sheets for which the aforementioned geometrical values can be obtained can be made from a single material or multiple materials.
  • the microstructures, such as, for example, the prisms can be molded embossed, extruded or cast on one or more substrate layers.
  • the light source 2 is a 633 nanometer helium neon (HeNe) laser that operates at a power of 1 milliwatt (mW).
  • the sample film is a brightness enhancing film (BEF2) film manufactured by 3 M.
  • BEF2 brightness enhancing film
  • the ruled scale is placed 55.4 centimeters from the sample holder.
  • the projected light spots are measured at 9 rotation angles ranging from —20 to +20 degrees in 5 degree increments.
  • the experimental data is shown in the Table 1 below:
  • the calculated refractive index is 1.597 +/- 0.009 with 95% confidence.
  • the calculated apex angle is 90.4 +/- 1.01 degrees with 95% confidence.
  • the calculated skew angle is 0.165 degrees +/- 0.06 with 95% confidence.
  • Increasing the number of rotation angles ⁇ decreases the 95% confidence intervals for the calculated refractive index, apex angle and skew angle values, as shown in the Figure 7.
  • Example 2 Example 2
  • This example demonstrates an alternative method of solving the coupled equations.
  • the equations are solved for all 9 rotation angles simultaneously, instead of solving for all pairwise rotation angles and averaging the calculated values. This is accomplished by using a numerical minimization scheme.
  • the calculated refractive index is 1.595
  • the calculated apex angle is 90.4
  • the calculated skew angle is 0.265.
  • the refractive index and apex values are well within the confidence interval of the full calculations performed in Example 1.
  • the skew angle is just beyond the confidence interval calculated in Example 1. Taking additional measurements or refining the minimization scheme itself should reduce the error in the values derived using this simplified method.
  • This example demonstrates using the disclosed method to measure the refractive index of a prism sheet of known composition.
  • the refractive index of an embossed polycarbonate prism sheet was calculated to be 1.589.
  • a polycarbonate film measured in a Metricon 2010 prism coupler using an incident HeNe laser beam with the same wavelength (632.8 nm) had a measured refractive index of 1.588 +/- 0.0008 with 95% confidence.
  • This example demonstrates how a prism sheet deviating from an ideal geometry affects the performance of the prism film when assembled inside a backlight module.
  • the luminance of three brightness enhancing display sheets was tested as follows.
  • the films are internal GE samples made by micro-replicating arrays of randomized prisms using a UV coating process with a proprietary high refractive index coating on a polycarbonate base film.
  • the randomized prisms were manufactured from a mixture of acrylate monomers that were cast against a mold and UV-cured to replicate the mold. Each of the three sheets was made using a different mold.
  • a bottom diffuser is placed in a backlight with an inverter.
  • the bottom diffuser is a D 120® commercially available from Tsujiden Co.
  • the inverter is a LS390® inverter commercially available from Taiyo Yuden.
  • a light management film in the vertical configuration is placed over the bottom diffuser.
  • a light management film in the horizontal configuration is placed over the vertical light management film, hi order to make the luminance measurement on a particular light management film, the light management film was cut into 2 portions. One portion was used in the vertical configuration and the other portion was used in the horizontal configuration.
  • thermocouples monitor the temperature of the backlight. After each set of samples is installed in the activated backlight, the system is allowed to equilibrate until the backlight temperature remains steady to within 0.1 degrees over the course of 5 minutes. After the system is equilibrated, a SS220® Display Analysis System commercially available from Microvision is used to measure 13 point luminance uniformity and the view angle at the center point. Performance is measured in "relative luminance" units compared to a brightness enhancing film (BEF2) film manufactured by 3M.
  • BEF220® Display Analysis System commercially available from Microvision is used to measure 13 point luminance uniformity and the view angle at the center point. Performance is measured in "relative luminance" units compared to a brightness enhancing film (BEF2) film manufactured by 3M.
  • the disclosed method was used to calculate the refractive index, apex angle and skew angle of three internal GE samples. In all samples, the target apex angle is 90 degrees and the target skew angle is zero degrees. The results are shown in Table 2 below:

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Abstract

L'invention concerne un procédé comprenant l'éclairage d'un prisme microstructuré, ou d'une matrice linéaire de prismes d'une feuille prismatique avec un faisceau incident. Le procédé comprend en outre la réalisation de mesures de l'image réfractée du faisceau sur un dispositif de mesure pour mesurer la distance située sur un côté opposée de la feuille prismatique à partir du côté sur lequel le faisceau de lumière est incident. La mesure de deux angles des images réfractées du faisceau sur l'échelle graduée, mesurés deux fois, en éclairant l'échantillon à des angles différents est utilisée dans une équation pour fournir en même temps l'angle du sommet, l'angle d'inclinaison et l'indice de réfraction de la feuille prismatique.
PCT/US2007/000030 2007-01-03 2007-01-03 Méthode et procédé permettant de mesurer des caractéristiques de prismes Ceased WO2008082412A1 (fr)

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Citations (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JPH09325086A (ja) * 1996-06-04 1997-12-16 Nikon Corp プリズムの屈折率測定方法
EP0952466A2 (fr) * 1994-10-18 1999-10-27 Mitsubishi Rayon Co., Ltd. Feuille lenticulaire

Patent Citations (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
EP0952466A2 (fr) * 1994-10-18 1999-10-27 Mitsubishi Rayon Co., Ltd. Feuille lenticulaire
JPH09325086A (ja) * 1996-06-04 1997-12-16 Nikon Corp プリズムの屈折率測定方法

Non-Patent Citations (2)

* Cited by examiner, † Cited by third party
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