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CN111258060B - Design method of metasurface capable of transflective dual-channel holographic multiplexing - Google Patents

Design method of metasurface capable of transflective dual-channel holographic multiplexing Download PDF

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CN111258060B
CN111258060B CN202010146927.1A CN202010146927A CN111258060B CN 111258060 B CN111258060 B CN 111258060B CN 202010146927 A CN202010146927 A CN 202010146927A CN 111258060 B CN111258060 B CN 111258060B
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phase
polarized light
metasurface
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CN111258060A (en
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郑国兴
付娆
李子乐
单欣
李仲阳
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Wuhan University WHU
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Abstract

本发明公开了一种可实现透反双通道全息复用的超表面的设计方法，该超表面由透明基底和刻蚀在透明基底上的纳米砖阵列构成，能够在透射和反射空间分别产生两幅全息图像，实现双通道全息复用，提高了信息存储的容量，两个通道既可以单独使用，也可以同时使用，二者相互独立且互不影响。本发明在光学信息的存储、显示、加密、防伪等领域有潜在的应用价值。

Figure 202010146927

The invention discloses a design method of a metasurface capable of realizing transflective dual-channel holographic multiplexing. The metasurface is composed of a transparent substrate and a nano-brick array etched on the transparent substrate, and can generate two transmissive and reflective spaces respectively. The two channels can be used alone or at the same time, and the two channels are independent of each other and do not affect each other. The invention has potential application value in the fields of optical information storage, display, encryption, and anti-counterfeiting.

Figure 202010146927

Description

Super surface design method capable of realizing transflective dual-channel holographic multiplexing
Technical Field
The invention relates to the technical field of micro-nano optics and optical holography, in particular to a method for designing a super surface capable of realizing transflective dual-channel holographic multiplexing.
Background
Optical holography is a powerful tool to reconstruct the wavefront of light and to achieve information storage and reconstruction. However, the conventional hologram is not sensitive to the polarization state, cannot encrypt the stored information, can only reproduce a holographic image in a transmission or reflection space, and has a limited information storage capacity. The super surface can realize optical information multiplexing through multi-dimensional coding such as phase, wavelength, spatial frequency, polarization state and the like on the basis of realizing basic optical properties, so that the holography based on the super surface has a very wide prospect in the aspects of optical display and storage.
Disclosure of Invention
The invention aims to provide a method for designing a super surface capable of realizing transflective dual-channel holographic multiplexing, the designed super surface is sensitive to polarization states, different holographic images can be decoded by different polarization states, dual-channel holographic multiplexing can be realized by the method, the capacity of information storage is improved, two channels can be used independently or simultaneously, and the two channels are independent and do not influence each other.
In order to achieve the above object, the present invention provides a method for designing a super-surface capable of realizing transflective dual-channel holographic multiplexing, which is characterized in that: the method comprises the following steps:
(1) optimizing and designing the nano brick unit structure.
Determining the working wavelength lambda and the quantization level n of the phase delay generated to the x and y linearly polarized light (within the phase change range of 0-360 DEG)xAnd nyThe phase delay amount corresponding to the quantized x and y linearly polarized light
Figure GDA0002760431100000011
And
Figure GDA0002760431100000012
are respectively represented as
Figure GDA0002760431100000021
Figure GDA0002760431100000022
Optimizing N ═ Nx×nyA nano brick unit structure corresponding to N phase quantization pair combinations
Figure GDA0002760431100000023
And forming a phase quantization pair combination table of the nano brick unit structures, wherein each nano brick unit structure corresponds to a unique phase quantization pair combination. The size parameters of the N kinds of nano-brick unit structures are optimized through electromagnetic simulation software, so that when x linearly polarized light and y linearly polarized light are normally incident to the N kinds of nano-brick unit structures under the working wavelength, the reflectivity of the x linearly polarized light is equal to the transmittance of the y linearly polarized light, and meanwhile, the phase delay amount meets N phase quantization pair combinations.
(2) The two phase distribution matrices of the super-surface are obtained by adopting the Gerchberg-Saxton algorithm.
The super surface is formed by arranging M multiplied by N optimized nano brick unit structures at equal intervals in the x direction and the y direction. Selecting two gray level images, namely image1 and image2, formed by M multiplied by N pixels as target holographic images of a reflection space and a transmission space, and respectively optimizing by adopting a Gerchberg-Saxton algorithm to obtain two phase distribution matrixes phi of a super surface to x and y linearly polarized lightxAnd phiy，ΦxAnd phiyOne-to-one correspondence of elements (a) to (b). Phix(m, n) and Φy(m, n) respectively represent the phase retardation amounts of the (m, n) th nanoblock unit structure on the super surface to the reflected x-linearly polarized light and the transmitted y-linearly polarized light.
(3) The two phase distribution matrices of the super-surface are quantized.
By a phase distribution matrix phixOf any one element phix(m, n) is quantified as an example, and phi isx(m, n) phase retardation corresponding to the x-ray polarized light obtained by quantifying the nano-brick unit structure obtained in step (1)
Figure GDA0002760431100000024
Comparing one by one, and if i is t, satisfying
Figure GDA0002760431100000025
The phase at that location is retarded by an amount phix(m, n) is replaced by
Figure GDA0002760431100000026
For phase distribution matrix phixAfter each element in the x-ray polarization light is sequentially subjected to the operation, a phase quantization distribution matrix phi of the x-ray polarization light is formed1x. In the same way, will phiyEach of the elements of (1) and
Figure GDA0002760431100000027
comparing and replacing one by one to form a phase quantization distribution matrix phi of the y linearly polarized light1y。
(4) And (3) arrangement mode of nano brick unit structures.
Simultaneous phase quantization distribution matrix phi1xAnd phi1yPhase quantization pair combination (phi) forming a super-surface1x,Φ1y) Finding out the phase quantization pair combination corresponding to each element in the phase quantization pair combination table of the nano brick unit structure obtained in the step (1)
Figure GDA0002760431100000028
The position placement can be producedRaw material
Figure GDA0002760431100000029
The nano brick unit structure of (2) is arranged to form a super-surface nano brick unit structure.
The super-surface modes of operation are, but not limited to, transmissive and reflective.
The invention can realize the design method of the transflection and reflection double-channel holographic multiplexing super surface, and the expected realization function is that when the X-ray polarized light is normally incident to the super surface, a holographic image1 is generated in the reflection space; when the y-linearly polarized light is normally incident to the super surface, a holographic image2 is generated in the transmission space; when 45-degree linearly polarized light is normally incident to the super surface, the two holographic images are simultaneously generated in the reflection and transmission spaces, and finally, the transmission-reflection dual-channel holographic multiplexing is realized, the two channels can be used independently or simultaneously, and are independent and mutually independent.
Preferably, the nano brick unit structure is composed of a substrate and a nano brick on the substrate; the substrate material is silicon dioxide, and the nano brick material is silicon, but not limited to the above.
Further, in the step (1), the dimension parameter of the nano-brick unit structure comprises the length L of the nano-brickxAnd LyHeight H and unit structure substrate side length C.
Furthermore, in the step (1), when the operating wavelength is 658nm, the height H is 320nm, and the side length C is 400 nm.
The invention has the following advantages and beneficial effects:
(1) the super surface capable of realizing the transflective dual-channel holographic multiplexing has the advantages of small size, light weight, easiness in integration, easiness in processing and the like;
(2) the super-surface transmission, reflection and transflective modes based on the invention can work, and the switching of the working modes can be realized only by changing the polarization state of incident light;
(3) the design method based on the invention can widen the capacity of the optical information storage system and enhance the security of the optical encryption, and can be widely applied to the research fields of optical information storage, display, encryption, hiding, anti-counterfeiting and the like.
Drawings
FIG. 1 is a schematic diagram of the structure of a nano-brick unit according to the present invention;
FIG. 2 is a schematic structural diagram of a super-surface capable of realizing transflective dual-channel holographic multiplexing in the present invention;
FIG. 3 is a reflection holographic image1 selected in an embodiment of the present invention;
FIG. 4 is a transmission holographic image2 selected in an embodiment of the present invention;
FIG. 5 is a phase quantization distribution matrix Φ of x-ray polarized light in an embodiment of the present invention1x；
FIG. 6 is a phase quantization distribution matrix Φ of y-linearly polarized light in an embodiment of the present invention1y；
FIG. 7 is a schematic diagram of the optical path for implementing the reflection channel in an embodiment of the present invention;
FIG. 8 is a schematic diagram of the optical path for implementing the transmission channel in an embodiment of the present invention;
fig. 9 is a schematic diagram of the optical path for implementing both the reflective and transmissive channels in an embodiment of the present invention.
In the figure, 1-nano brick and 2-substrate.
Detailed Description
The invention is further described in detail below with reference to the figures and specific examples.
1. Optimizing and designing the nano brick unit structure.
The following description will be given taking the nano-brick unit structure as a rectangular parallelepiped. The length, width and height of the nano brick unit structure are all sub-wavelength.
The nano brick unit structure is composed of a substrate 2 and a nano brick 1 etched on the substrate, as shown in fig. 1, an xyz rectangular coordinate system is established, and the lengths of the nano brick 1 in the x direction and the y direction are L respectivelyxAnd LyThe height in the z direction is H, and the side length of the substrate in the x direction and the y direction is C.
According to the theory of equivalent refractive index, the nano-brick unit structure is equivalent to a micro waveguide, because the lengths of the nano-bricks along the x direction and the y direction are different, the equivalent refractive indexes along the two directions are different, different phase delay amounts are generated for linearly polarized light (x linearly polarized light and y linearly polarized light for short) along the x direction and the y direction respectively in the electric field direction, and independent phase modulation can be realized for two orthogonally polarized light beams, which is the basic principle for realizing the phase modulation of the nano-brick unit structure.
Determining the working wavelength lambda and the quantization level n of the phase delay generated to the x and y linearly polarized light (within the phase change range of 0-360 DEG)xAnd nyThe phase delay amount corresponding to the quantized x and y linearly polarized light
Figure GDA0002760431100000041
And
Figure GDA0002760431100000042
respectively expressed as:
Figure GDA0002760431100000051
in order to make the phase modulation amount of x and y linearly polarized light cover the phase change range of 360 degrees, N is optimizedx×nyA nano brick unit structure corresponding to N phase quantization pair combinations
Figure GDA0002760431100000052
As shown in table 1. Each nano-brick unit structure corresponds to a unique phase quantization pair combination, the N (N is 1,2, …, N) th nano-brick unit structure corresponds to the N phase quantization pair combination, and the phase retardation generated by the x linearly polarized light and the y linearly polarized light are respectively expressed as phase retardation
Figure GDA0002760431100000053
And
Figure GDA0002760431100000054
record as
Figure GDA0002760431100000055
TABLE 1 phase quantization pair combination table corresponding to N kinds of nano brick unit structures
Figure GDA0002760431100000056
Optimizing the size parameters of N nano-brick unit structures including the length L of the nano-brick 1 by electromagnetic simulation softwarexAnd LyThe height H and the side length C of the unit structure substrate 2 enable the reflectivity of x linearly polarized light and the transmittance of y linearly polarized light to be equal when the x and y linearly polarized light is normally incident to the N nano brick unit structures under the working wavelength, and meanwhile, the phase delay amount meets N phase quantization pair combinations. The nano brick unit structure can realize completely independent phase modulation on two orthogonal linearly polarized light by only selecting proper size parameters, simultaneously reflects the x linearly polarized light and transmits the y linearly polarized light to realize the transmission-reflection dual-channel multiplexing, and when linearly polarized light (45-degree linearly polarized light for short) with the included angle of 45 degrees between the electric field direction and the x axis is incident, the transmission-reflection dual channels work simultaneously.
2. Designing method of super surface.
(1) The two phase distribution matrices of the super-surface are obtained by adopting the Gerchberg-Saxton algorithm.
The super surface is formed by arranging M multiplied by N optimized nano brick unit structures at equal intervals in the x direction and the y direction. Selecting two gray level images, namely image1 and image2, formed by M multiplied by N pixels as target holographic images of a reflection space and a transmission space, and respectively optimizing by adopting a Gerchberg-Saxton algorithm to obtain two phase distribution matrixes phi of a super surface to x and y linearly polarized lightxAnd phiy，ΦxAnd phiyOne-to-one correspondence of elements (a) to (b). Phix(m, n) and Φy(m, n) respectively represent the phase retardation amounts of the (m, n) th nanoblock unit structure on the super surface to the reflected x-linearly polarized light and the transmitted y-linearly polarized light.
(2) The two phase distribution matrices of the super-surface are quantized.
By a phase distribution matrix phixOf any one element phix(m, n) is quantified as an example, and phi isx(m, n) and the one obtained in the formula (1)Phase delay amount corresponding to x-ray polarized light after quantification of nano brick unit structure
Figure GDA0002760431100000061
Comparing one by one, and if i is t, satisfying
Figure GDA0002760431100000062
The phase at that location is retarded by an amount phix(m, n) is replaced by
Figure GDA0002760431100000063
For phase distribution matrix phixAfter each element in the x-ray polarization light is sequentially subjected to the operation, a phase quantization distribution matrix phi of the x-ray polarization light is formed1x. In the same way, will phiyEach of the elements of (1) and
Figure GDA0002760431100000064
comparing and replacing one by one to form a phase quantization distribution matrix phi of the y linearly polarized light1y。
(3) And (3) arrangement mode of nano brick unit structures.
Simultaneous phase quantization distribution matrix phi1xAnd phi1yPhase quantization pair combination (phi) forming a super-surface1x,Φ1y) The corresponding phase quantization pair combination for each element is found in Table 1
Figure GDA0002760431100000065
The position placement may result
Figure GDA0002760431100000066
The nano brick unit structure of (2) is arranged to form a super-surface nano brick unit structure.
Wherein, the substrate is a silicon dioxide substrate, and the nano brick unit structure is a silicon nano brick, but not limited thereto. The super-surface modes of operation are, but not limited to, transmissive and reflective.
The solution of the invention is further illustrated below with reference to the accompanying drawings:
the design method of the super surface capable of realizing the transflective dual-channel holographic multiplexing is expected to realize the function that when the x-ray polarized light is normally incident to the super surface, a holographic image1 is generated in a reflection space; when the y-linearly polarized light is normally incident to the super surface, a holographic image2 is generated in the transmission space; when 45-degree linearly polarized light is normally incident to the super surface, the two holographic images are simultaneously generated in the reflection and transmission space, and finally the transmission-reflection dual-channel holographic multiplexing is realized.
In this embodiment, the nano-unit structure is composed of a silicon dioxide substrate and a silicon nano-brick etched on the substrate, as shown in fig. 1.
The specific design steps are as follows:
(1) optimizing and designing the nano brick unit structure.
Selecting working wavelength lambda as 658nm and quantization grade n of phase delay generated by x and y linearly polarized light (within 0-360 DEG phase change range)x4 and ny4, the phase delay amount corresponding to the quantized x and y linearly polarized light
Figure GDA0002760431100000071
And
Figure GDA0002760431100000072
are respectively as
Figure GDA0002760431100000073
In order to enable the phase modulation amounts of x-linearly polarized light and y-linearly polarized light to cover a phase change range of 360 degrees, N-4-16 nano brick unit structures are optimized, and 16 phase quantization pair combinations are correspondingly adopted
Figure GDA0002760431100000074
As shown in table 2. The phase retardation amounts generated for x-and y-linearly polarized light are respectively expressed as n (1, 2, …,16) th nanoblock unit structure corresponding to n-th phase quantization pair combination
Figure GDA0002760431100000075
And
Figure GDA0002760431100000076
record as
Figure GDA0002760431100000077
Phase quantization pair combination table corresponding to 216 kinds of nano brick unit structures
Figure GDA0002760431100000078
Scanning the dimension parameters of the nano brick unit structure by electromagnetic simulation software CST according to the working wavelength to obtain the optimized unit structure substrate with the side length of C400 nm and the height of H320 nm, screening 16 nano brick unit structures meeting the conditions, and screening the length L of the silicon nano brickxAnd LyAnd the reflection and transmission efficiencies of the nano-brick unit structure under the structural parameters to the linearly polarized light along x and y are respectively shown in Table 3, wherein Rx、TyRespectively representing the reflectivity of x-linearly polarized light and the transmissivity of y-linearly polarized light,
Figure GDA0002760431100000079
and
Figure GDA00027604311000000710
the phase retardation amounts of the x and y linearly polarized light.
TABLE 3LxAnd LyCorresponding phase quantization pair combination and transflector
Figure GDA00027604311000000711
Figure GDA0002760431100000081
As can be seen from table 3, the 16 kinds of nano-brick unit structures ensure that the reflectance of x-linearly polarized light and the transmittance of y-linearly polarized light are relatively high and substantially equal, and the phase retardation satisfies 16 phase quantization pair combinations.
(2) The two phase distribution matrices of the super-surface are obtained by adopting the Gerchberg-Saxton algorithm.
The super surface is formed by arranging 500 multiplied by 500 optimized nano brick unit structures at equal intervals in the x direction and the y direction, as shown in figure 2. Two grayscale images image1 and image2 composed of 500 × 500 pixels are selected as target hologram images of the reflection and transmission spaces, as shown in fig. 3 and 4. Respectively optimizing by adopting Gerchberg-Saxton (GS) algorithm to obtain two corresponding phase distribution matrixes phixAnd phiy。
(3) The two phase distribution matrices of the super-surface are quantized.
By a phase distribution matrix phixOf any one element phix(m, n) is quantified as an example, and phi isx(m, n) and the amount of phase retardation corresponding to the x-ray polarized light obtained by quantifying the nano-brick unit structure calculated by the formula (2)
Figure GDA0002760431100000082
Comparing one by one, and if i is t, satisfying
Figure GDA0002760431100000083
The phase at that location is retarded by an amount phix(m, n) is replaced by
Figure GDA0002760431100000084
For phase distribution matrix phixAfter each element in the x-ray polarization light is sequentially subjected to the operation, a phase quantization distribution matrix phi of the x-ray polarization light is formed1xAs shown in fig. 5. In the same way, will phiyEach of the elements of (1) and
Figure GDA0002760431100000085
comparing and replacing one by one to form a phase quantization distribution matrix phi of the y linearly polarized light1yAs shown in fig. 6.
(4) And (3) arrangement mode of nano brick unit structures.
Simultaneous phase quantizationCloth matrix phi1xAnd phi1yPhase quantization pair combination (phi) forming a super-surface1x,Φ1y) The corresponding phase quantization pair combination for each element is found in Table 2
Figure GDA0002760431100000086
The position placement may result
Figure GDA0002760431100000087
The nano brick unit structure of (2) is arranged to form a super-surface nano brick unit structure.
Taking the (m, n) th nano-brick unit structure in the super surface as an example, the phase delay amounts of the nano-brick unit structure at the position to the reflected x-linearly polarized light and the transmitted y-linearly polarized light are phi respectively1x(m, n) and Φ1y(m, n) finding the corresponding combination of phase quantization pairs therein
Figure GDA0002760431100000088
The position placement may result
Figure GDA0002760431100000089
The nano brick unit structure of (2) is arranged to form a super-surface nano brick unit structure in the same way.
When the x-ray polarized light is normally incident to the super surface, a holographic image1 is generated in the reflection space, as shown in fig. 7; when y linearly polarized light is normally incident to the super surface, a holographic image2 is generated in the transmission space, as shown in fig. 8; when 45-degree linearly polarized light is normally incident to the super surface, the two holographic images are generated simultaneously in the reflection and transmission spaces, and as shown in fig. 9, the transmission-reflection dual-channel holographic multiplexing is realized.
The design method of the embodiment at least comprises the following technical effects:
the method realizes the transflective dual-channel holographic multiplexing, improves the information storage capacity, and the transmission channel and the reflection channel can be used independently or simultaneously and are independent and not influenced mutually. The invention has potential application value in the fields of optical information storage, display, encryption, anti-counterfeiting and the like.

Claims (4)

1.一种可实现透反双通道全息复用的超表面的设计方法，其特征在于：1. a design method of the metasurface that can realize transflective dual-channel holographic multiplexing, is characterized in that: 包括以下步骤：Include the following steps: 1)优化设计纳米砖单元结构：1) Optimal design of nano-brick unit structure: 确定工作波长λ和对x和y线偏振光产生0°～360°相位变化范围内相位延迟量的量化等级nx和ny，量化后的x和y线偏振光对应的相位延迟量
Figure FDA0003009156950000011
和
Figure FDA0003009156950000012
分别表示为：Determine the working wavelength λ and the quantization levels n x and ny of the phase retardation in the range of 0°～360° phase change for the x and y linearly polarized light, and the phase retardation corresponding to the quantized x and y linearly polarized light
Figure FDA0003009156950000011
and
Figure FDA0003009156950000012
They are respectively expressed as:
Figure FDA0003009156950000013
Figure FDA0003009156950000013
Figure 1
;
Figure 1
; 优化共N＝nx×ny种纳米砖单元结构，对应N种相位量化对组合
Figure FDA0003009156950000015
构成纳米砖单元结构的相位量化对组合表，每一种纳米砖单元结构对应唯一的相位量化对组合；通过电磁仿真软件优化N种纳米砖单元结构的尺寸参数，使得工作波长下x和y线偏振光正入射至所述N种纳米砖单元结构时，x线偏振光的反射率和y线偏振光透过率相等，同时相位延迟量满足N种相位量化对组合；Optimizing a total of N=n x ×n y nano-brick unit structures, corresponding to N combinations of phase quantization pairs
Figure FDA0003009156950000015
The phase quantization pair combination table that constitutes the nanobrick unit structure, each nanobrick unit structure corresponds to a unique phase quantization pair combination; the size parameters of the N nanobrick unit structures are optimized by electromagnetic simulation software, so that the x and y lines at the working wavelength are When the polarized light is normally incident on the N kinds of nano-brick unit structures, the reflectivity of the x-polarized light and the transmittance of the y-polarized light are equal, and the phase retardation satisfies the combination of N kinds of phase quantization pairs; 2)采用Gerchberg-Saxton算法得到超表面的两个相位分布矩阵：2) Using the Gerchberg-Saxton algorithm to obtain two phase distribution matrices of the metasurface: 超表面由M×N个上述优化好的纳米砖单元结构在x、y方向上等间隔排列构成；选择两幅M×N个像素组成的灰度图像image1和image2作为反射和透射空间的目标全息图像，采用Gerchberg-Saxton算法分别优化得到一个超表面对于x和y线偏振光的两个相位分布矩阵Φx和Φy，Φx和Φy的元素一一对应；Φx(m,n)和Φy(m,n)分别表示超表面上第(m,n)个纳米砖单元结构对于反射的x线偏振光和透射的y线偏振光的相位延迟量；The metasurface is composed of M×N optimized nano-brick unit structures arranged at equal intervals in the x and y directions; two grayscale images image1 and image2 composed of M×N pixels are selected as the target holography in the reflection and transmission space. For the image, the Gerchberg-Saxton algorithm is used to optimize the two phase distribution matrices Φ x and Φ y of a metasurface for x and y linearly polarized light respectively, and the elements of Φ x and Φ y correspond one-to-one; Φ x (m,n) and Φ y (m, n) represent the phase retardation of the (m, n)th nanobrick unit structure on the metasurface for the reflected x-polarized light and the transmitted y-polarized light, respectively; 3)将超表面的两个相位分布矩阵进行量化：3) Quantize the two phase distribution matrices of the metasurface: 选取相位分布矩阵Φx中任意一个元素Φx(m,n)进行量化：Select any element Φ x (m,n) in the phase distribution matrix Φ x for quantization: 将Φx(m,n)与步骤1)中求出的纳米砖单元结构量化后的x线偏振光对应的相位延迟量
Figure FDA0003009156950000016
逐一进行比较，若当i＝t时，满足
Figure FDA0003009156950000017
(i≠t)，则将该位置处的相位延迟量Φx(m,n)替换为
Figure FDA0003009156950000018
对相位分布矩阵Φx中的每一个元素依次进行上述操作后，构成x线偏振光的相位量化分布矩阵Φ1x；同理，将Φy中的每一个元素与
Figure FDA0003009156950000021
逐一进行比较和替换，构成y线偏振光的相位量化分布矩阵Φ1y；The phase retardation corresponding to Φ x (m,n) and the x-polarized light after quantification of the nanobrick unit structure obtained in step 1)
Figure FDA0003009156950000016
Compare one by one, if when i=t, satisfy
Figure FDA0003009156950000017
(i≠t), then replace the phase delay Φ x (m,n) at this position with
Figure FDA0003009156950000018
After performing the above operations on each element in the phase distribution matrix Φ x in turn, the phase quantization distribution matrix Φ 1x of the x-polarized light is formed; in the same way, each element in Φ y and
Figure FDA0003009156950000021
Compare and replace one by one to form a phase quantization distribution matrix Φ 1y of the y linearly polarized light; 4)纳米砖单元结构的排布方式：4) The arrangement of nano-brick unit structure: 联立相位量化分布矩阵Φ1x和Φ1y，构成超表面的相位量化对组合(Φ1x,Φ1y)，在步骤1)中求出的纳米砖单元结构的相位量化对组合表中找到每一个元素对应的相位量化对组合
Figure FDA0003009156950000022
则该位置放置可以产生
Figure FDA0003009156950000023
的纳米砖单元结构，排布所有构成超表面的纳米砖单元结构；Simultaneously phase quantization distribution matrices Φ 1x and Φ 1y , form the phase quantization pair combination (Φ 1x , Φ 1y ) of the metasurface, find each one in the phase quantization pair combination table of the nanobrick unit structure obtained in step 1). element-corresponding phase quantization pair combination
Figure FDA0003009156950000022
then placement at this location can yield
Figure FDA0003009156950000023
The unit structure of nanobricks is arranged, and all the nanobrick unit structures constituting the metasurface are arranged; 5)当x线偏振光正入射至超表面时，在反射空间产生一幅全息图像image1；当y线偏振光正入射至超表面时，在透射空间产生一幅全息图像image2；当45°线偏振光正入射至超表面时，在反射和透射空间同时产生上述两幅全息图像，实现透反双通道全息复用，两个通道既可以单独使用，也可以同时使用，二者相互独立且互不影响。5) When the x-polarized light is incident on the metasurface, a holographic image image1 is generated in the reflection space; when the y-polarized light is incident on the metasurface, a holographic image image2 is generated in the transmission space; when the 45° linearly polarized light is When incident on the metasurface, the above-mentioned two holographic images are simultaneously generated in the reflection and transmission space, and the transflective dual-channel holographic multiplexing is realized. The two channels can be used alone or at the same time. 2.根据权利要求1所述的可实现透反双通道全息复用的超表面的设计方法，其特征在于：所述纳米砖单元结构由基底(2)和基底(2)上的纳米砖(1)构成；所述基底(2)材料选用二氧化硅，纳米砖(1)材料选用硅。2. The design method of the metasurface that can realize transflective dual-channel holographic multiplexing according to claim 1, characterized in that: the nano-brick unit structure is composed of a substrate (2) and a nano-brick (2) on the substrate (2). 1) composition; the material of the substrate (2) is selected from silicon dioxide, and the material of the nano-brick (1) is selected from silicon. 3.根据权利要求1或2所述的可实现透反双通道全息复用的超表面的设计方法，其特征在于：所述步骤(1)中，纳米砖单元结构的尺寸参数如下：3. the design method of the metasurface that can realize transflective dual-channel holographic multiplexing according to claim 1 and 2, is characterized in that: in described step (1), the size parameter of nano-brick unit structure is as follows: 纳米砖(1)在x方向和y方向上的长度分别为Lx和Ly，z方向上的高度为H；基底(2)在x方向和y方向上的边长均为C。The lengths of the nanobricks (1) in the x direction and the y direction are L x and Ly , respectively, and the height in the z direction is H; the side lengths of the substrate (2) in the x and y directions are both C. 4.根据权利要求3所述的可实现透反双通道全息复用的超表面的设计方法，其特征在于：所述步骤(1)中，当工作波长λ选用658nm时，高度H为320nm，边长C为400nm。4. the design method of the metasurface that can realize transflective dual-channel holographic multiplexing according to claim 3, is characterized in that: in described step (1), when working wavelength λ selects 658nm for use, height H is 320nm, The side length C is 400 nm.
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