Detailed Description
The disclosed optical device represents a light source 1 and an optical element 2 that is planar in the (x, y) plane, which are rigidly fixed relative to each other.
For example, the light source 1 may be represented by a broadband multicolor image projector based on an RGB LED matrix or a laser image projector with linear polarization and monochromatic light having a center wavelength λ ls. The light source 1 is mounted with its optical axis at an angle theta ls to the normal n of the optical element 2.
The optical element 2 itself is manufactured as a heterostructure comprising along the axis z at least a first optically transparent dielectric layer 3 (in fig. 1: thickness d 1, dielectric permeability epsilon 1), a second layer 4 of absorptive two-dimensional material (in fig. 1: thickness d 2 <100 nm, dielectric permeability epsilon 2) and an optically transparent substrate 5 (dielectric permeability epsilon 3). The upper limit of the thickness of the absorbent two-dimensional material layer 4 is a value of 100 nm to ensure that its transparency condition is satisfied. For some applications the heterostructure may contain a greater number of layers arranged in various orders-the outer layer may be represented by both the dielectric layer 3 and the absorber layer 4 (i.e. the terms "first" and "second" as used herein do not define the layer arrangement order).
The layers of the heterostructure (for the selected substrate 5 material) are prepared so as to form a topological dark state point a (a 0,θ0) close to λ ls and θ ls of the light source 1 used. This means that due to the topology (composition and thickness of layers) the optical element 2 has zero amplitude in one of the dissipative channels, for example in the reflective or transmissive channels (reflection and transmission as a specific case of dissipation are described in for example the publication "time-coupled mode theory of fano resonance "(Temporal coupled-mode theory for the Fano resonance in optical resonators),Shanhui Fan, Wonjoo Suh and J. D. Joannopoulos,Journal of the Optical Society of America A Vol. 20, Issue 3, pp. 569-572, 2003, DOI: 10.1364/JOSAA.20.000569). in optical resonators) this results in that the diffraction efficiency in the other channel can be significantly improved (up to 10%) so that a sufficiently bright virtual image can be produced using an optical element 2 that is completely transparent in the range 300 nm to 2 μm.
The topologically dark state of the optical element 2 will be the point a (lambda 0,θ0) for which the absolute value of the phase phi integral on the closed line L of the complex scattering amplitude of the incident light on said optical element with wavelength lambda and angle theta is:
[ mathematics 1]
Where L is an ellipse centered on point a (lambda 0,θ0), half axis lambda L =10 nm and θ L =5°,
Ds is the derivative in space lambda, theta,
And lambda 1s and theta 1s of the light source are located within the closed line L.
The ellipse L defines the operating range of wavelengths and angles at which the disclosed optical device operates efficiently. The values of the elliptical L half-axes are chosen on the basis of simulation and experimental results, the larger the values of λ L and θ L (the more relaxed the matching conditions), the weaker the topological dark state effect, and the significantly reduced intensity of the light entering the desired dissipation channel (for example when bending the light coming from the projector into the user's eye), while the lower the values of λ L and λ L (the more stringent the matching conditions), the significantly increased the working time of adjusting the device (positioning the light source 1 relative to the optical element 2).
That is, the topologically dark state point of the optical element 2 will be represented by the values of the wavelength λ 0 and the incident angle θ 0, around which the phase Φ of the scattered light changes very rapidly, i.e. the phase difference between the opposite points of the ellipse L is not less than pi/2.
The phase phi distribution of the optical element 2 can be determined in reflection/transmission/dissipation mode using ellipsometry [ fig. 3 ]. For a plurality of wavelengths λ and angles of incidence θ of the sample source 7 around the point a where the singularity study is performed, the method makes it possible to directly measure the phase Φ of the polarized light reflected from the sample using the detector 6. If there is an ellipse with an absolute value of the phase phi gradient integral greater than pi in an ellipse centered around the discussion point a in space (λ, θ), with principal half axes λ L =10 nm and θ L =5°, this point can be regarded as a phase singularity, i.e. a topologically dark state point. Therefore, in order to produce an optical device based on said optical element 2, it is necessary to use the respective light sources 1, i.e. the image projectors with λ 1s and θ 1s located within said closed line L.
The parameters of the optical element 2 may be calculated based on the following considerations.
If the phase phi is the phase of the complex scattering amplitude of the light in the reflection channel, then the optical element 2 must be realized in order to achieve a topologically dark state effect according to the following conditions:
For s-polarization or p-polarization,
[ Math figure 2]
,
Where r 0123 is the reflection factor of the optical element 2 and the other formula components are defined as follows:
[ math 3]
[ Mathematics 4]
,
According to [ mathematical formula 4], r ij is the reflection factor (for s-polarization) at the interface of materials i and j,
[ Math 5]
,
According to [ mathematical formula 5], r ij is the reflection factor (for p-polarization) at the interface of materials i and j,
[ Math figure 6]
[ Math 7]
I. j is the index number of the layer (in the outside-in direction, towards the substrate of the optical element 2),
Epsilon i is the dielectric permeability of the i-th layer,
D i is the thickness of the i-th layer,
Epsilon 0 is the dielectric permeability of the medium from which the light comes.
But if the phase phi is the phase of the complex scattering amplitude of the light in the transmission channel, then to achieve a topologically dark state effect the optical element 2 must be realized as follows:
For s-polarization or p-polarization,
[ Math figure 8]
,
Where t 0123 is the transmittance of the optical element 2 as a whole,
[ Math figure 9]
[ Math figure 10]
,
According to [ mathematical formula 10], r ij is the reflection factor (for s-polarization) at the interface of materials i and j,
[ Mathematics 11]
,
According to [ mathematical formula 11], r ij is the reflection factor (for p-polarization) of the material i and j interface,
[ Math figure 6]
[ Math 7]
I. j is the index number of the layer (in the outside-in direction, towards the substrate of the optical element 2),
Epsilon i is the dielectric permeability of the i-th layer,
D i is the thickness of the i-th layer,
Epsilon 0 is the dielectric permeability of the medium from which the light comes.
In practice, it is reasonable to manufacture the absorber layer 4 with a thickness of not more than 30 nm from, for example, metal (gold, copper, silver or aluminum) or another high refractive index material (ZnO、TiO2、ZnS、MgO、BeO、PbF2、CsI、HfO2、Sc2O3、SiN、GaP、CsPbBr3、CsPbCl3、CsPbI3、GaN、YVO4、MgAlO、YAlO、LuAlO、AlSb、GaSb、InSb、AlAs、GaAs、InAs、BC、SiC、TiC、VC、CsCl、CuCl、BaF、CeF3、LaF3、LiF、SrF2、LiI、KI、RbI、CaMoO4、SrMoO4、PbMoO4、LiNbO3、KNbO3、VN、ZrO2、GeO2、TeO2、WO3、Fe2O3、Y2O3、Lu2O3、Nb2O5、Ta2O5、Fe3O4、InP、CdSe、PbSe、ZnSe、AgGaS2、CdGa2S4、CdS、CuGaS2、CdTe、Te、ZnTe、BaTiO3、Bi4Ti3O12、PbTiO3、SrTiO3、 diamond, graphite, graphene oxide 、MoS2、WS2、MoSe2、WSe2、Cd3As2、Cd3Sb2、Cr2AlC、Cr2C、Mn2AlC、Mo2C、Mo2Ga2C、Mo3AlC2、Nb2AlC、Nb2C、Nb4AlC3、Nb4C3、Ta2C、Ta4AlC3、Ti2AlC、Ti2AlN、Ti2C、Ti2N、Ti3AlC2、Ti3C2、Ti3CN、Ti3SiC2、Ti4N3、V2AlC、V2C、V4AlC3、V4C3、SnS2、SnSe2、ReS2、ReSe2、hBN、GaSe、Sb2Te3、PdS2、PdSe2、PtS2、PtSe2、GaS、GaTe、Ca(OH)2、K(FeMg)3Si3AlO10(OH)2、Mg(OH)2、MnO2、MoO3、Sb2O3、Sb2OS2、Sb2Se3、Sb2S3、As2S3、As2Te3、Bi2O2Se、Bi2Se3、Bi2TeO2、BiSbTe3、Bi2S3、Bi2Te3、AsP、CdI2、CdPS3、CuS、CoPS3、Cr2Ge2Te6、Cr2S3、CrBr3、CrCl3、CrGeTe3、CrPS4、CrSeBr、CuCrP2S6、CuIn7Se11、FeCl2、FePS3、FePSe3、MoTe2、GaGeTe、GaInS3、GaSeTe、GaSSe、GaPS4、GaSTe、GeAs、GeSe、GeS、GeS2、GeTe、HfSe2、HfS2、HfTe2、In2S3、In2Se3、InSe、InTe、InGaSe2、InSeBr、InSnSe、MnPS3、MnPSe3、MoSSe、MoWSe2、MoWS2、MoWTe2、MoNbSe2、MoO2.5Cl0.5、MoReS2、MoTaSe2、MoVSe2、Na2Co2TeO6、Nb2SiTe4、NbReS2、NbReSe2、NbS3、Ni2SiTe4、Ni3TeO6、NiCl2、NiI2、NiPS3、PbI2、PbTe、PtTe2、ReMoS2、ReNbS2、ReNbSe2、ReSSe、SbAsS3、SbSe、SbSI、SiP、SnPSe3、SnS、Ta2NiS5、TaS2、TaS3、TaSe2、TaWSe2、TlSe、TiBr3、SnTe2、TiS3、TlGaS2、TlGaSe2、TlGaTe2、TlInS2、WTe2、WSSe、WNbSe2、WReSe2、ZrS2、ZnIn2S4、ZnPS3、ZnPSe3、ZrGeTe4、ZrS3、ZrSe2、ZrSe3、ZrTe2、ZrTe3、Cr2Si2Te6、Cr2Te3、CrI3、CrSBr、CrTe2、Fe3GeTe2、Fe4GeTe2、TaCo2Te2、VS2、VSe2、VTe2、BiSbTeSe、BiTe、CuFeTe、HfTe5、FeSe、FeTeSe、FeTe、NbS2、NbSe2、NbTe2、NbTe4、NiTe2、PdBi2、PdTe2、SnTaS2、TaTe2、TiTe2、 Tl2Ba2CaCu2O8、ZrSiS、CdAs2、CuSi2P3、NbAs2、PbTaSe2、Ta2NiSe5、Ta2NiTe5、Ta2Se8I、TaNi2Te3、TiS2、TiSe2、WNbTe2、ZnAs2、ZrTe5、LaTe2、NbSe3、Bi2SeTe2、Bi2Te2S、BiInTe3、Bi2Se1.5Te1.5、Bi4Te1.5S1.5、GeBi2Te4、PbBi2Te4、SnBi4Te7、SnSb2Te4、NiTe、SbTe、SiTe2、BiTeI、InSSe、PbSnS2、TlGaS3、C3N4、Cu2Te、GeSeTe、MnTe、As2Se3、CrPS3、SnSe、WReS2、TiBr、BaTiS3、Al2O3、BiFeO3、Ag3AsS3、HgS、 bismuth strontium calcium copper oxide, black arsenic or black phosphorus in order to achieve transparent conditions.
In this case, the dielectric layer 3 may be prepared using any available polymer, such as polyvinyl alcohol, hydroxyethyl methacrylate, polydimethylsiloxane, polylactic acid, polymethyl methacrylate, polymethylpentene, polycarbonate, polyetherimide, and the like.
In order to make the manufacture of the screen of the produced projection optical device easier, the optical element 2 can be manufactured and supplied in the form of a thin flexible film free of the substrate 5. Then, in order to be able to use it is provided with an adhesive layer 6 so that it can be glued onto any existing transparent substrate (glass, vehicle windscreen, window, etc.). In this case, the best solution is to produce the first layer 3 in the form of a polymer film with a thickness d 1=0.01-100 µm、ε1 = 1.7-4.0 and the second layer 4 from a metal with a thickness d 2≤30 nm、|ε2 = 1-10. Now, in the preferred embodiment, the order of the layers plays an important role. These parameters ensure that the above topological dark state conditions are met for almost all transparent surfaces (made of glass, plastic, etc.) known to date.
In order to further increase the diffraction efficiency, the thickness of the dielectric layer 3 and/or the absorption layer 4 may be spatially modulated (preferably) d 2=d2 (x, y), i.e. may in fact represent a diffraction grating.
Thanks to the features described, the disclosed optical device and corresponding optical element can be used as a basis for forming a new generation of ultra-thin virtual, augmented or augmented reality (VR/AR/XR) devices. Varying the parameters of the disclosed optical elements within given limits can result in, for example, optical differentiators (i.e., structures that reflect only the boundaries of the picture elements), lenses or optical objectives (e.g., by forming fresnel zone plates with two-dimensional material thicknesses above and below the topological point), and many other optical elements.
Examples
Example 1.
The optical device comprises an image projector based on a laser light of wavelength λ 1s =655 nm mounted at an angle θ 1s =75° to the normal of an optical element in the form of a transparent screen, said optical element having a structure providing a topologically dark state around the point (655 nm,75 °), and representing a uniform polymer layer of polymethyl methacrylate with a thickness of 100 nm and a gold modulation layer with a thickness of 13 nm on a BK7 optical glass.
The optical element structure is obtained in the manufacturing cycle described below. A 13 nm layer of gold was deposited on BK7 optical glass using electron beam deposition. Then, a layer of 100 nm of polymethyl methacrylate was deposited from above using centrifugation (spin coating). The structure acts as an optical differentiator wherein the ratio of the intensity of the image element boundary reflection to the intensity of the image itself is about 100. It should be noted that the optical differentiator will only be used for plane polarizing normal light incidence, i.e. the disclosed optical element exhibits polarization selectivity. The projector will form a clearly visible picture of the boundary of the image element formed by the projector on the screen of the optical element.
Example 2.
The optical device includes an RGB LED matrix based image projector, wherein the projector is mounted at an angle θ 1s =75° to the normal to the optical element in the form of a transparent screen having the structure described in embodiment 1.
The structure acts as an optical differentiator, i.e. the structure will reflect an image boundary having a center wavelength of 655 nm and a half-width of 10 nm (i.e. the structure will also act as a filter for the 650-660 nm wavelength range), where the ratio of the image element boundary reflection intensity to the intensity of the image itself is about 100. That is, the projector will form a clearly visible picture of the boundary of the image element formed by the projector on the screen.
Example 3.
The optical device included an image projector based on 655 nm wavelength laser light polarized perpendicular to the plane of light incidence mounted at an angle θ 1s =75° to the normal of an optical element in the form of a transparent screen having the structure described in example 1.
The structure acts as an optical differentiator, i.e. the structure will reflect the image boundaries, wherein the ratio of the image element boundary reflection intensity to the intensity of the image itself is about 100 at these wavelengths. That is, the projector forms a clearly visible picture of the boundary of the image element formed by the projector on the screen, wherein the picture will not have any additional wavelength and polarization, contrary to embodiments 1 and 2.
Example 4.
The optical device comprises an image projector based on a laser of wavelength λ 1s =655 nm (for optimum visibility, the light must be polarized perpendicular to the plane of incidence of the light), the laser being mounted at an angle θ 1s =75° to the normal of an optical element in the form of a transparent screen, the optical element having a structure providing a topologically dark state around the point (655 nm,75 °), and representing a uniform polymer layer of polymethyl methacrylate with a thickness of 100 nm and a gold modulation layer with a thickness of 13 nm on a BK7 optical glass.
The optical element structure is obtained in the manufacturing cycle described below. A 13 nm layer of gold was deposited on BK7 optical glass using electron beam deposition. The gold layer was patterned into a diffraction grating with a period of 648 nm using electron beam lithography. Then, a layer of 100nm of polymethyl methacrylate was deposited from above using centrifugation (spin coating).
The resulting structure has a diffraction efficiency of more than 4.5% and a transparency of more than 70%. In this case, the projector forms a clearly visible picture on the screen with an intensity of about 4.5% of the light intensity of the projector (the intensity entering the desired diffraction channel is determined by the diffraction efficiency).
Example 5.
The optical device comprises an image projector based on a laser of wavelength λ 1s =655 nm (for optimum visibility, the light must be polarized perpendicular to the plane of incidence of the light), the laser being mounted at an angle θ 1s =75° to the normal of an optical element in the form of a transparent screen, the optical element having a structure providing a topologically dark state around the point (655 nm,75 °), and representing a modulated polymer layer of polymethyl methacrylate with a thickness of 100 nm and a uniform gold layer with a thickness of 13 nm on a BK7 optical glass.
The optical element structure is obtained in the manufacturing cycle described below. A 13 nm layer of gold was deposited on BK7 optical glass using electron beam deposition. Then, a layer of 100 nm of polymethyl methacrylate was deposited from above using centrifugation (spin coating). The polymethyl methacrylate layer was patterned into a diffraction grating with a period of 648 nm using electron beam lithography.
The resulting structure has a diffraction efficiency of more than 4.3% and a transparency of more than 70%. In this case, the projector forms a clearly visible picture on the screen with an intensity of about 4.3% of the light intensity of the projector.
Example 6.
The optical device comprises an RGB LED matrix based image projector, wherein the projector is mounted at an angle θ 1s =74° to the normal of an optical element in the form of a transparent screen, which has a structure providing a topologically dark state around the point (547 nm,74 °), and which represents a uniform polymer layer of polymethyl methacrylate with a thickness of 92 nm and a uniform aluminum layer with a thickness of 4 nm on a BK7 optical glass.
The optical element structure is obtained in the manufacturing cycle described below. A 4 nm layer of aluminum was deposited on BK7 optical glass using electron beam deposition. Then, a layer of 92 nm of polymethyl methacrylate was deposited from above using centrifugation (spin coating).
This structure acts as an optical differentiator, i.e. it will reflect an image boundary having a center wavelength of 547 nm and a half-width of 10 nm (i.e. it will also act as a filter for this 542-552 nm wavelength range), where the ratio of the image element boundary reflection intensity to the intensity of the image itself is about 100. That is, the projector will form a clearly visible picture of the boundary of the image element formed by the projector on the screen.
Example 7.
As in example 6, a projector based on laser light of center wavelength λ=530 nm polarized perpendicular to the plane of incidence of the light was used.
The structure acts as an optical differentiator, i.e. the structure will reflect the image boundaries, wherein the ratio of the image element boundary reflection intensity to the intensity of the image itself is about 100 at these wavelengths. That is, the projector forms a clearly visible picture of the boundary of the image element formed by the projector on the screen, wherein the picture will not have any additional wavelength and polarization, contrary to example 6.
Example 8.
The aluminum layer was patterned into a diffraction grating with a period of 1274 nm using electron beam lithography, as in example 7.
The resulting structure has a diffraction efficiency of more than 3.8% and a transparency of more than 70%. In this case, the projector forms a clearly visible picture on the screen formed by the projector with an intensity of about 3.8% of the light intensity of the projector.
Example 9.
The optical device comprises an RGB LED matrix based image projector, wherein the projector is mounted at an angle θ 1s =76° to the normal of an optical element in the form of a transparent screen, the optical element having a structure providing a topologically dark state around the point (615 nm,76 °), and the structure representing a uniform polymer layer of polymethyl methacrylate with a thickness of 95 nm, a uniform gold layer with a thickness of 15 nm, and a uniform polymer layer of polydimethylsiloxane with a thickness of 30 nm on a BK7 optical glass.
The optical element structure is obtained in the manufacturing cycle described below. A layer of 30 nm of polydimethylsiloxane was applied to the optical glass using centrifugation (spin coating), then a layer of 15 nm of gold was applied to the layer using electron beam deposition, and then a layer of 100 nm of polymethyl methacrylate was deposited using centrifugation (spin coating).
The structure acts as an optical differentiator, i.e. the structure will reflect an image boundary having a center wavelength of 615 nm and a half-width of 10 nm (i.e. the structure will also act as a filter for the 610-620 nm wavelength range), where the ratio of the image element boundary reflection intensity to the intensity of the image itself is about 100. That is, the projector will form a clearly visible picture of the boundary of the image element formed by the projector on the screen.
Example 10.
The optical device comprises an RGB LED matrix based image projector, wherein the projector is mounted at an angle θ 1s =51° to the normal of an optical element in the form of a transparent screen, the optical element has a structure providing topologically dark states around points (420 nm,51 °), (459 nm, 42 °), (525 nm,56 °), and the structure represents a uniform polymer layer of polymethyl methacrylate with a thickness of 67 nm, a uniform gold layer with a thickness of 14 nm, and a uniform polymer layer of polydimethylsiloxane with a thickness of 50nm on BK7 optical glass.
The optical element structure is obtained in the manufacturing cycle described below. A layer of 50 nm of polydimethylsiloxane was applied to the optical glass using centrifugation (spin coating), then a layer of 14 nm of gold was applied to the layer using electron beam deposition, and then a layer of 67 nm of polymethyl methacrylate was deposited using centrifugation (spin coating).
The structure acts as an optical differentiator, i.e. the structure will reflect an image boundary having a center wavelength of 420 nm and a half-width of 10 nm (i.e. the structure will also act as a filter for the 415-425 nm wavelength range), where the ratio of the image element boundary reflection intensity to the intensity of the image itself is about 100. That is, the projector will form a clearly visible picture of the boundary of the image element formed by the projector on the screen. This embodiment differs from the other embodiments in that the range of operating wavelengths and angles of the projector is increased due to the three topological points.
Example 11.
The optical device comprises an RGB LED matrix based image projector, wherein the projector is mounted at an angle θ 1s =60° to the normal of an optical element in the form of a transparent screen, the optical element has a structure providing a topologically dark state around the point (450 nm,59 °), and the structure represents a uniform gold layer of thickness 3 nm and a polymer layer of polymethyl methacrylate of thickness 300 nm on sapphire.
The optical element structure is obtained in the manufacturing cycle described below. A layer of 300 nm a of polymethyl methacrylate was deposited on a sapphire substrate using centrifugation (spin coating). A gold layer of 3 nm a was then applied to this layer using electron beam deposition.
The structure acts as an optical differentiator, i.e. the structure will reflect an image boundary having a center wavelength of 450 nm and a half-width of 10 nm (i.e. the structure will also act as a filter for the 445-455 nm wavelength range), where the ratio of the image element boundary reflection intensity to the intensity of the image itself is about 100. That is, the projector will form a clearly visible picture of the boundary of the image element formed by the projector on the screen.
Example 12.
The optical device comprises an RGB LED matrix based image projector, wherein the projector is mounted at an angle θ 1s =70° to the normal to an optical element in the form of a hydrogel contact lens, the optical element having a structure providing a topologically dark state around the point (650 nm,70 °), and the structure is created by forming a 640 nm period diffraction grating from a polymer layer of polymethyl methacrylate with a thickness of 95 nm and a uniform gold layer with a thickness of 15 nm on the lens outer surface.
The resulting structure has a diffraction efficiency of more than 4.7% and a transparency of more than 70% (for wavelengths 645-655 nm). In this case, the projector forms a clearly visible picture on the screen formed by the projector with an intensity of about 4.7% of the light intensity of the projector.
Example 13.
The optical element was manufactured in the form of a polymer film of polymethyl methacrylate having a dielectric permeability of 2.25 and a thickness of 80 nm, on which a gold film having a thickness of 18. 18 nm and a dielectric permeability of 2.25 was coated using an electron beam deposition method. An adhesion layer in the form of graphene is deposited on the gold side using a liquid transfer method. The resulting structure has a diffraction efficiency of over 2% and a transparency of over 80%.
Such optical elements may be mounted on any solid surface and may act as an optical differentiator (the working range of wavelengths and angles will vary slightly depending on the surface being deposited), with an image boundary reflection intensity to image intensity ratio of about 100. That is, the projector will form a clearly visible picture of the boundary of the image element formed by the projector on the screen.
Example 14.
The optical element was manufactured in the form of a polymer film of polymethyl methacrylate having a dielectric permeability of 2.25 and a thickness of 80 nm, on which a gold film having a thickness of 18. 18 nm and a dielectric permeability of 2.25 was coated using an electron beam deposition method. The film was then patterned into a diffraction grating with a period of 648 nm using electron beam lithography. An adhesion layer in the form of graphene is deposited on the gold side using a liquid transfer method. The resulting structure has a diffraction efficiency of more than 3.8% and a transparency of more than 70%. Such an optical element may be mounted on any solid surface and provide a 65 ° bend of 630 nm wavelength light from a light source configured at an angle of 65 ° (for the case where the structure is deposited on BK7 optical glass; the values of operating wavelength and angle will be different for other surfaces but not significant, in the range of ±20 nm and ±10°).
Claim (modification according to treaty 19)
1. An optical device comprising a light source of spectral wavelength lambda 1s implemented as an image projector, and an optical element of planar in the (x, y) plane, normal at an angle theta 1s to the optical axis of the light source, wherein the optical element comprises at least a first optically transparent dielectric layer of thickness d 1 with a dielectric permeability epsilon 1, a second layer of absorptive two-dimensional material of thickness d 2 <100 nm with a dielectric permeability epsilon 2, and an optically transparent substrate of dielectric permeability epsilon 3, wherein the layers and substrate are configured to form a topologically dark state point a (lambda 0,θ0), wherein the absolute value of the phase phi integral on the closed loop line L of complex scattering amplitude of incident light of wavelength lambda, angle theta on the optical element is:
,
Where L is an ellipse centered on point a (lambda 0,θ0), half axis lambda L =10 nm and θ L =5°,
Ds is the derivative in space lambda, theta,
And lambda 1s and theta 1s of the light source are located within the closed line L.
2. The optical device according to claim 1, wherein the thickness of the first layer and/or the second layer is spatially modulated by d 2=d2 (x, y).
3. The optical device of claim 1, wherein the second layer has a thickness of no more than 30 nm a.
4. An optical device according to claim 3, characterized in that the second layer is made of gold, copper, silver or aluminium.
5. An optical device according to claim 3, characterized in that the second layer is made of ZnO、TiO2、ZnS、MgO、BeO、PbF2、CsI、HfO2、Sc2O3、SiN、GaP、CsPbBr3、CsPbCl3、CsPbI3、GaN、YVO4、MgAlO、YAlO、LuAlO、AlSb、GaSb、InSb、AlAs、GaAs、InAs、BC、SiC、TiC、VC、CsCl、CuCl、BaF、CeF3、LaF3、LiF、SrF2、LiI、KI、RbI、CaMoO4、SrMoO4、PbMoO4、LiNbO3、KNbO3、VN、ZrO2、GeO2、TeO2、WO3、Fe2O3、Y2O3、Lu2O3、Nb2O5、Ta2O5、Fe3O4、InP、CdSe、PbSe、ZnSe、AgGaS2、CdGa2S4、CdS、CuGaS2、CdTe、Te、ZnTe、BaTiO3、Bi4Ti3O12、PbTiO3、SrTiO3、 diamond, graphite, graphene oxide 、MoS2、WS2、MoSe2、WSe2、Cd3As2、Cd3Sb2、Cr2AlC、Cr2C、Mn2AlC、Mo2C、Mo2Ga2C、Mo3AlC2、Nb2AlC、Nb2C、Nb4AlC3、Nb4C3、Ta2C、Ta4AlC3、Ti2AlC、Ti2AlN、Ti2C、Ti2N、Ti3AlC2、Ti3C2、Ti3CN、Ti3SiC2、Ti4N3、V2AlC、V2C、V4AlC3、V4C3、SnS2、SnSe2、ReS2、ReSe2、hBN、GaSe、Sb2Te3、PdS2、PdSe2、PtS2、PtSe2、GaS、GaTe、Ca(OH)2、K(FeMg)3Si3AlO10(OH)2、Mg(OH)2、MnO2、MoO3、Sb2O3、Sb2OS2、Sb2Se3、Sb2S3、As2S3、As2Te3、Bi2O2Se、Bi2Se3、Bi2TeO2、BiSbTe3、Bi2S3、Bi2Te3、AsP、CdI2、CdPS3、CuS、CoPS3、Cr2Ge2Te6、Cr2S3、CrBr3、CrCl3、CrGeTe3、CrPS4、CrSeBr、CuCrP2S6、CuIn7Se11、FeCl2、FePS3、FePSe3、MoTe2、GaGeTe、GaInS3、GaSeTe、GaSSe、GaPS4、GaSTe、GeAs、GeSe、GeS、GeS2、GeTe、HfSe2、HfS2、HfTe2、In2S3、In2Se3、InSe、InTe、InGaSe2、InSeBr、InSnSe、MnPS3、MnPSe3、MoSSe、MoWSe2、MoWS2、MoWTe2、MoNbSe2、MoO2.5Cl0.5、MoReS2、MoTaSe2、MoVSe2、Na2Co2TeO6、Nb2SiTe4、NbReS2、NbReSe2、NbS3、Ni2SiTe4、Ni3TeO6、NiCl2、NiI2、NiPS3、PbI2、PbTe、PtTe2、ReMoS2、ReNbS2、ReNbSe2、ReSSe、SbAsS3、SbSe、SbSI、SiP、SnPSe3、SnS、Ta2NiS5、TaS2、TaS3、TaSe2、TaWSe2、TlSe、TiBr3、SnTe2、TiS3、TlGaS2、TlGaSe2、TlGaTe2、TlInS2、WTe2、WSSe、WNbSe2、WReSe2、ZrS2、ZnIn2S4、ZnPS3、ZnPSe3、ZrGeTe4、ZrS3、ZrSe2、ZrSe3、ZrTe2、ZrTe3、Cr2Si2Te6、Cr2Te3、CrI3、CrSBr、CrTe2、Fe3GeTe2、Fe4GeTe2、TaCo2Te2、VS2、VSe2、VTe2、BiSbTeSe、BiTe、CuFeTe、HfTe5、FeSe、FeTeSe、FeTe、NbS2、NbSe2、NbTe2、NbTe4、NiTe2、PdBi2、PdTe2、SnTaS2、TaTe2、TiTe2、 Tl2Ba2CaCu2O8、ZrSiS、CdAs2、CuSi2P3、NbAs2、PbTaSe2、Ta2NiSe5、Ta2NiTe5、Ta2Se8I、TaNi2Te3、TiS2、TiSe2、WNbTe2、ZnAs2、ZrTe5、LaTe2、NbSe3、Bi2SeTe2、Bi2Te2S、BiInTe3、Bi2Se1.5Te1.5、Bi4Te1.5S1.5、GeBi2Te4、PbBi2Te4、SnBi4Te7、SnSb2Te4、NiTe、SbTe、SiTe2、BiTeI、InSSe、PbSnS2、TlGaS3、C3N4、Cu2Te、GeSeTe、MnTe、As2Se3、CrPS3、SnSe、WReS2、TiBr、BaTiS3、Al2O3、BiFeO3、Ag3AsS3、HgS、 bismuth strontium calcium copper oxide, black arsenic or black phosphorus.
6. The optical device of claim 1, wherein the light source is linearly polarized and monochromatic and has a center wavelength λ 1s.
7. The optical device according to claim 1, characterized in that the phase Φ is the phase of the complex scattering amplitude of the light in the reflection channel, and the optical element is manufactured according to the following conditions:
For s-polarization or p-polarization,
,
Where r 0123 is the reflection factor of the optical element,
,
For s-polarization, it is possible that,
,
For the p-polarization it is possible that,
,
,
I. j is the index number of the layer,
Epsilon i is the dielectric permeability of the i-th layer,
D i is the thickness of the i-th layer,
Epsilon 0 is the dielectric permeability of the medium from which the light comes.
8. The optical device according to claim 1, characterized in that the phase Φ is the phase of the complex scattering amplitude of the light in the transmission channel, and the optical element is manufactured according to the following conditions:
For s-polarization or p-polarization,
,
Where t 0123 is the transmittance of the optical element,
,
For s-polarization, it is possible that,
,
For the p-polarization it is possible that,
,
,
I. j is the index number of the layer,
Epsilon i is the dielectric permeability of the i-th layer,
D i is the thickness of the i-th layer,
Epsilon 0 is the dielectric permeability of the medium from which the light comes.
9. An optical element comprising a first optically transparent dielectric layer of thickness d 1 and a dielectric permeability epsilon 1 and a second layer of absorbing material of thickness d 2 and a dielectric permeability epsilon 2 arranged in that order, characterized in that it is provided with an adhesive layer deposited on the free surface of the first layer or the second layer, wherein the layers are configured to form a topologically dark state point by having the first layer realized as a polymer film of thickness d 1=0.01-100 µm、ε1 =1.7-4.0, the second layer being made of a metal of thickness d 2≤30 nm、|ε2 |=1-10.
10. An optical element according to claim 9, characterized in that the second layer is made of gold, copper, silver or aluminium.
11. An optical element according to claim 9, characterized in that the thickness of the second layer is spatially modulated.
12. An optical element according to claim 11, characterized in that the second layer is manufactured in the form of a diffraction grating.