Super-atom combination based on rectangular column super-atom combination super surface design method and system

By dividing the metasurface to be designed into preset superpixels, screening and simulating rectangular cylindrical superatoms, a metasurface with arbitrary symmetric Jones matrix is ​​generated, solving the problem that non-unitary matrices cannot be designed in the prior art, and realizing higher design freedom and polarization manipulation capabilities.

CN117574696BActive Publication Date: 2026-02-03TSINGHUA UNIVERSITY +1
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Patent Information

Application Number
CN202311331473.5
Authority / Receiving Office
CN · China
Patent Type
Patents(China)
Current Assignee / Owner
Filing Date
2023-10-13
Publication Date
2026-02-03
Estimated Expiration
2043-10-13

AI Technical Summary

Technical Problem

Existing technologies cannot design metasurfaces with non-unitary Jones matrices. Rectangular cylindrical superatoms can only achieve symmetric unitary Jones matrices and cannot cover arbitrary Jones matrices.

Method used

By dividing the metasurface to be designed into preset superpixels, selecting rectangular cylindrical superatoms that meet the size conditions, simulating their polarization response, screening out suitable rectangular cylindrical superatoms, determining the design parameters through the Jones matrix calculation function, and performing simulation using the finite-difference time-domain method, a metasurface with an arbitrary symmetric Jones matrix is ​​finally generated.

Benefits of technology

It enables the design of metasurfaces for arbitrary symmetric Jones matrices, improving the design freedom and enabling the manipulation of arbitrary phase modulation and polarization degrees of freedom.

✦ Generated by Eureka AI based on patent content.

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Abstract

The present application relates to the technical fields of micro-nano optics and super surface, and provides a super surface design method and system based on rectangular column super atom combination, wherein the method comprises: dividing a to-be-designed super surface into a plurality of preset super pixels based on the size information of the to-be-designed super surface and preset super pixels, wherein the preset super pixel is a structure arranged by a preset number of preselected rectangular column super atoms; determining the design parameters of the preselected rectangular column super atoms of each preset super pixel constituting the to-be-designed super surface based on a target Jones matrix and a Jones matrix calculation function of the preset super pixel, wherein the target Jones matrix is a Jones matrix at different positions of the to-be-designed super surface corresponding to each preset super pixel determined based on the functional requirements of the to-be-designed super surface, and the Jones matrix calculation function is a calculation formula for averaging the Jones matrix of each preselected rectangular column super atom of the preset super pixel. The present application is used to solve the defect that the super surface with a non-unitary matrix cannot be designed in the prior art.
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Description

TECHNICAL FIELD

[0001] The present application relates to the field of micro-nano optics and metasurface technology, and in particular to a metasurface design method and system based on a combination of rectangular column superatoms. BACKGROUND

[0002] A metasurface is usually composed of columnar nanoantennas in superatoms as basic pixel units. Different structures of superatoms have different phase modulations, and arranging them as pixels can generate metasurfaces with different functions such as metagratings, metaslenses, holograms, etc. Compared with traditional optical elements, metasurfaces can realize subwavelength-level light field manipulation and have higher design freedom.

[0003] At present, polarization-related metasurface technology is also mature, and can support superatoms to realize polarization control of multiple functions. Thus, the polarization and phase of light can be simultaneously manipulated by using metasurfaces to realize functions such as polarization beam splitters, polarization analyzers, and multi-channel holograms.

[0004] However, in polarization-related applications, the required superatomic light field response still cannot cover any Jones matrix, which is much higher than covering any phase. Among them, the commonly used cylindrical superatom does not have polarization correlation at all, and the rectangular column superatom can only realize a symmetric unitary Jones matrix. SUMMARY

[0005] The present application provides a metasurface design method and system based on a combination of rectangular column superatoms to solve the defect that the existing technology cannot design metasurfaces with non-unitary Jones matrices.

[0006] The present application provides a metasurface design method based on a combination of rectangular column superatoms, comprising:

[0007] Obtaining a to-be-designed metasurface;

[0008] Based on the size information of the to-be-designed metasurface and the size information of a preset superpixel, the to-be-designed metasurface is divided into a plurality of preset superpixels, and the preset superpixel is a structure arranged by a preset number of preselected rectangular column superatoms;

[0009] Based on a target Jones matrix and a Jones matrix calculation function of the preset superpixel, the design parameters of the preselected rectangular column superatoms constituting each preset superpixel of the to-be-designed metasurface are determined, the target Jones matrix is a Jones matrix at different positions of the to-be-designed metasurface corresponding to each preset superpixel based on the functional requirements of the to-be-designed metasurface, and the Jones matrix calculation function is a calculation formula for averaging the Jones matrices of each preselected rectangular column superatom constituting the preset superpixel.

[0010] According to the super surface design method based on the combination of rectangular column super atoms provided by the application, before the rectangular column super atoms are divided into the preset super pixels based on the size information of the super surface to be designed and the size information of the preset super pixels, the method further comprises the following steps of:

[0011] Based on the size information of the super surface to be designed, a plurality of rectangular column super atoms satisfying a preset size condition are selected, the preset size condition comprising: the height of each rectangular column super atom being the same, the length of the diagonal being less than the arrangement interval of the rectangular column super atom on the super surface to be designed, and the width and length satisfying the process requirement of the super surface to be designed;

[0012] The horizontal and vertical polarization responses of each rectangular column super atom are simulated respectively to obtain two diagonal elements of each rectangular column super atom.

[0013] Based on the diagonal elements, the rectangular column super atoms whose sum of horizontal and vertical transmittances is greater than a preset transmittance threshold value and whose difference in polarization response in the horizontal and vertical directions is greater than a preset polarization difference threshold value are screened out.

[0014] The rectangular column super atoms screened out are used as the preselected rectangular column super atoms.

[0015] According to the super surface design method based on the combination of rectangular column super atoms provided by the application, the horizontal and vertical polarization responses of each rectangular column super atom are simulated respectively based on the finite difference time domain method.

[0016] According to the super surface design method based on the combination of rectangular column super atoms provided by the application, the design parameters comprise: horizontal polarization response, vertical polarization response and rotation angle.

[0017] The application further provides a super surface design system based on the combination of rectangular column super atoms, comprising:

[0018] An acquisition module is configured to acquire a super surface to be designed.

[0019] A decomposition module is configured to divide the super surface to be designed into a plurality of preset super pixels based on the size information of the super surface to be designed and the size information of the preset super pixels, the preset super pixel being a structure arranged by a preset number of preselected rectangular column super atoms.

[0020] The design module is configured to determine the design parameters of the preselected rectangular columnar super atom of each preset super pixel of the to-be-designed super surface based on a target Jones matrix and a Jones matrix calculation function of the preset super pixel, the target Jones matrix being a Jones matrix at different positions of the to-be-designed super surface corresponding to each preset super pixel determined based on a functional requirement of the to-be-designed super surface, and the Jones matrix calculation function being a calculation formula for averaging the Jones matrices of each preselected rectangular columnar super atom of the preset super pixel.

[0021] The super surface design system based on the combination of rectangular columnar super atoms according to the application further comprises a screening module.

[0022] The screening module is configured to select a plurality of rectangular columnar super atoms satisfying a preset size condition based on size information of the to-be-designed super surface, the preset size condition including that the heights of the rectangular columnar super atoms are the same, the diagonal line lengths are less than the arrangement spacing of the rectangular columnar super atoms on the to-be-designed super surface, and the widths and lengths satisfy the process requirements of the to-be-designed super surface; simulate the horizontal and vertical polarization responses of each rectangular columnar super atom respectively to obtain two diagonal elements of each rectangular columnar super atom; screen out the rectangular columnar super atoms with a sum of horizontal and vertical transmittances greater than a preset transmittance threshold value and a difference between the horizontal and vertical polarization responses greater than a preset polarization difference threshold value based on the diagonal elements; and take the screened rectangular columnar super atoms as the preselected rectangular columnar super atoms.

[0023] The screening module is specifically configured to simulate the horizontal and vertical polarization responses of each rectangular columnar super atom respectively based on the finite difference time domain method.

[0024] The design parameters include the horizontal polarization response, the vertical polarization response, and the rotation angle.

[0025] The application further provides an electronic device including a memory, a processor, and a computer program stored in the memory and executable on the processor, and the processor implements the super surface design method based on the combination of rectangular columnar super atoms when executing the program.

[0026] The application further provides a non-transitory computer readable storage medium having a computer program stored thereon, and the computer program is executable on a processor to implement the super surface design method based on the combination of rectangular columnar super atoms.

[0027] The application provides a metasurface design method and system based on rectangular column super atom combination. BRIEF DESCRIPTION OF DRAWINGS

[0028] In order to more clearly illustrate the technical solutions in the application or the prior art, the following will briefly introduce the drawings needed to be used in the embodiments or the prior art description. Obviously, the drawings in the following description are some embodiments of the application, and other drawings can be obtained by those skilled in the art without any creative effort on the basis of these drawings.

[0029] Figure 1 is a flowchart of a metasurface design method based on rectangular column super atom combination provided by the application;

[0030] Figure 2 is a structural diagram of a 2*2 super pixel provided by the application;

[0031] Figure 3 is a simulation result of horizontal polarization near-field phase distribution of a metasurface with a diagonal unitary matrix as a Jones matrix, which is designed by using the metasurface design method based on rectangular column super atom combination provided by the embodiment of the application;

[0032] Figure 4 is a simulation result of vertical polarization near-field phase distribution of a metasurface with a diagonal unitary matrix as a Jones matrix, which is designed by using the metasurface design method based on rectangular column super atom combination provided by the embodiment of the application;

[0033] Figure 5 is a simulation result of horizontal polarization far-field light intensity distribution of a metasurface with a diagonal unitary matrix as a Jones matrix, which is designed by using the metasurface design method based on rectangular column super atom combination provided by the embodiment of the application;

[0034] Figure 6is a simulation result of the vertical polarization far-field light intensity distribution of the super surface whose Jones matrix is a diagonal unitary matrix and which is designed by the super surface design method based on the combination of rectangular column super atoms provided in the embodiment of the present application;

[0035] Figure 7 is the target phase distribution of three channels of the super surface whose Jones matrix is a non-unitary matrix and which is designed by the super surface design method based on the combination of rectangular column super atoms provided in the embodiment of the present application;

[0036] Figure 8 is an experimental result of the far-field light intensity distribution of three channels of the super surface whose Jones matrix is a non-unitary matrix and which is designed by the super surface design method based on the combination of rectangular column super atoms provided in the embodiment of the present application;

[0037] Figure 9 is a structural schematic diagram of a super surface design system based on the combination of rectangular column super atoms provided in the present application;

[0038] Figure 10 is a structural schematic diagram of an electronic device provided in the present application. DETAILED DESCRIPTION

[0039] In order to make the objects, technical solutions and advantages of the present application clearer, the technical solutions in the present application will be described clearly and completely below in combination with the drawings in the present application. Obviously, the described embodiments are some embodiments of the present application, but not all the embodiments. Based on the embodiments in the present application, all other embodiments obtained by those skilled in the art without creative labor fall within the protection scope of the present application.

[0040] The present application provides a super surface design method based on the combination of rectangular column super atoms, and the method can be executed by software and / or hardware in an electronic device such as a computer, a tablet computer or a mobile phone. Figures 1 to 10 The present application provides a super surface design method based on the combination of rectangular column super atoms, and the method can be executed by software and / or hardware in an electronic device such as a computer, a tablet computer or a mobile phone. Figure 1 As shown in the figure, the method comprises the following steps:

[0041] 101, obtaining a to-be-designed super surface.

[0042] In the embodiment, the to-be-designed super surface can be a super surface with any symmetrical Jones matrix.

[0043] 102, dividing the to-be-designed super surface into a plurality of preset super pixels based on the size information of the to-be-designed super surface and the size information of a preset super pixel, wherein the preset super pixel is a structure arranged by a preset number of preselected rectangular column super atoms.

[0044] In this embodiment, the preset superpixel is a structure arranged by N*N preselected rectangular columnar superatoms. Wherein, the number of N is at least 2, and the design effect on the designed super surface is better as the value of N increases, but the size of the preset superpixel is larger and the resolution is lower, therefore, the number of N should be set according to actual requirements.

[0045] It can be understood that, based on the process realizability, for the same designed super surface, the height of the preselected rectangular columnar superatom thereon needs to be the same, and the size of the designed super surface and the arrangement interval of the preselected rectangular columnar superatom thereon all have requirements.

[0046] Based on this, for the preselected rectangular columnar superatom constituting the preset superpixel, it is necessary to be screened according to the designed super surface first.

[0047] Therefore, in an embodiment of the present application, before the designed super surface is divided into several preset superpixels based on the size information of the designed super surface and the size information of the preset superpixel, several rectangular columnar superatoms meeting the preset size condition are selected based on the size information of the designed super surface first.

[0048] Wherein, the preset size condition is set as: the height of each rectangular columnar superatom is the same, and the width and length meet the process requirements of the designed super surface, so as to ensure the process realizability of the designed super surface.

[0049] At the same time, considering that the rectangular columnar superatom is parallel to the polarization direction during simulation, but in the subsequent actual application to splice into a super surface, the rectangular columnar superatom may need to be rotated, therefore, the diagonal length is set to be less than the arrangement interval of the rectangular columnar superatom on the designed super surface in the preset size condition, so as to screen out the rectangular columnar superatom with diagonal length less than the arrangement interval, thereby avoiding the conflict of diagonal length being too large during arrangement.

[0050] Then, the horizontal and vertical polarization responses of each rectangular columnar superatom are simulated respectively to obtain two diagonal elements of each rectangular columnar superatom;

[0051] Wherein, the horizontal and vertical polarization responses of each rectangular columnar superatom can be simulated based on the finite difference time domain method, that is, as shown in formula (1):

[0052]

[0053] Then, based on the diagonal elements, the rectangular columnar superatom with the sum of horizontal and vertical transmittance greater than a preset transmittance threshold value, and the difference between the horizontal and vertical polarization responses greater than a preset polarization difference threshold value is screened out.

[0054] It can be understood that the rectangular column metasurface with low transmittance will affect the efficiency of the metasurface; and when the difference between the horizontal and vertical polarization responses is small, the Jones matrix of the rectangular column metasurface after rotation changes little, which is not conducive to the design of the to-be-designed metasurface, and therefore, before the to-be-designed metasurface is designed, the rectangular column metasurface satisfying the above conditions is selected as the preselected rectangular column metasurface, which is more conducive to the design of the to-be-designed metasurface.

[0055] Further, for the preselected rectangular column metasurface constituting the to-be-designed metasurface, the design parameters of the preselected rectangular column metasurface to be determined mainly include: the horizontal polarization response T x , the vertical polarization response T y and the rotation angle θ.

[0056] Therefore, in an embodiment of the present application, the design parameters include: the horizontal polarization response, the vertical polarization response and the rotation angle.

[0057] Further, in the design process of the to-be-designed metasurface, in a specific embodiment, taking N = 2 as an example, the structure of the preset superpixel is as shown in Figure 2 , wherein the Jones matrix of the preset superpixel can be estimated by a Jones matrix calculation function, that is, the following formula (2):

[0058]

[0059] Wherein, T xi , T yi and θ i are the horizontal polarization response, the vertical polarization response and the rotation angle of the i-th preselected rectangular column metasurface, respectively. The meaning of formula (2) is to average the Jones matrix of each preselected rectangular column metasurface.

[0060] Specifically, after the value of N is determined, the size information of the preset superpixel can be determined, and by dividing the to-be-designed metasurface according to the size information of the preset superpixel, the entire to-be-designed metasurface can be divided into M different preset superpixels.

[0061] 103、Based on the target Jones matrix and the Jones matrix calculation function of the preset superpixel, the design parameters of the preselected rectangular column metasurface constituting the preset superpixel of the to-be-designed metasurface are determined, the target Jones matrix is the Jones matrix at different positions of the to-be-designed metasurface corresponding to each preset superpixel determined based on the functional requirements of the to-be-designed metasurface, and the Jones matrix calculation function is a calculation formula for averaging the Jones matrix of each preselected rectangular column metasurface constituting the preset superpixel.

[0062] It can be understood that the Jones matrix distribution of the super surface is determined by the function of the super surface. For a lens and a polarization beam splitter, the Jones matrix distribution is directly given by the formula; for a hologram, the Jones matrix distribution needs to be generated by an iterative algorithm combined with Fourier optics; for a more complex multi-channel functional super surface, the Jones matrix distribution can also be given by a specific algorithm. However, for any functional super surface, the Jones matrix can be represented by the following formula (3):

[0063]

[0064] As can be seen from formula (3), the Jones matrix distribution of the super surface is not a fixed matrix, but a function of the spatial positions x and y of each rectangular column super atom constituting the super surface.

[0065] Therefore, after dividing the entire to-be-designed super surface into M different preset super pixels, the entire to-be-designed super surface will correspond to M fixed target Jones matrices as shown in the following formula (4):

[0066]

[0067] Therefore, if a suitable super pixel structure can be found for the M preset super pixels determined above, that is, formula (2) and formula (3) are matched, the design of the to-be-designed super surface is completed.

[0068] Specifically, still taking N=2, that is, each preset super pixel contains 4 preselected rectangular column super atoms as an example, formula (2) and (3) can be combined to obtain the following formula (5):

[0069]

[0070] Wherein, because the functional requirements of the to-be-designed super surface are known, the target Jones matrix on the left side of formula (5) obtained from formula (3) is a fixed value, and the right side is a Jones matrix calculation function containing the polarization response T xi and T yi of the i-th preselected rectangular column super atom, and the rotation angle θ i of the i-th preselected rectangular column super atom. After T xi , T yi and θ i are determined based on formula (5), the structure of the preset super pixel is completed.

[0071] Further, T xi , T yi and θ i determined based on formula (5) can be calculated in the following manner, that is:

[0072] Equation (5) is expanded into three equations as follows:

[0073]

[0074]

[0075]

[0076] Then, using the exhaustive method, search for the 4 preselected rectangular column superatoms that make the difference between the two sides of equation (6) less than the preset difference threshold and have the minimum difference, and then the corresponding 4 groups of T xi and T yi .

[0077] Then, use the numerical method to solve the θ i satisfying equation (7) and equation (8) as the rotation angle of the preselected rectangular column superatom.

[0078] After the above calculation, a suitable superpixel design can be obtained, whose Jones matrix is approximately equal to the target Jones matrix at the corresponding position of the super surface to be designed. By repeating the above steps for each preset superpixel corresponding to the super surface to be designed, the structure of the entire super surface to be designed can be generated.

[0079] Next, take the super surface with the diagonal unitary matrix and the non-unitary matrix as the Jones matrix as examples to verify the effect of the super surface design by using the super surface design method based on the combination of rectangular column superatoms provided in the above embodiments of the present application.

[0080] 1. Design of super surface with diagonal unitary matrix as Jones matrix

[0081] It can be understood that the required Jones matrix distribution of the polarization beam splitter is shown in equation (9) as follows:

[0082]

[0083] As can be seen from equation (9), the Jones matrix at any position is a diagonal unitary matrix. In principle, this super surface can be realized by using a single rectangular column superatom as a pixel, but the design method provided in the above embodiments of the present application is still used for design. When used, the finite difference time domain (FDTD) method is used to calculate the Jones matrix of the entire super surface, which is compared with the target Jones matrix of the pre-designed super surface, and it is found that the overall distribution is well reproduced. According to the obtained Jones matrix, the physical light field propagation is used to calculate the far field light field of the super surface, and the expected polarization beam splitter function can be realized. The corresponding results are shown in Figures 3 to 6 .

[0084] 2. Design of super surface with non-unitary matrix as Jones matrix

[0085] Suppose the function to be realized by the designed metasurface is a 3-channel blazed grating. In this case, the Jones matrix required by each spatial position is a non-unitary symmetric matrix, so it cannot be realized by a single rectangular column. By designing a metasurface using the design method provided in the above embodiments of the present application and preparing and testing it experimentally, the target phase distribution of the 3-channel and the far-field light intensity distribution obtained by experimental testing are as shown in Figure 7 and Figure 8 The expected 3-channel blazed grating function can be realized.

[0086] In summary, the design method of the metasurface based on the combination of rectangular column superatoms provided in the above embodiments of the present application uses the finite-difference time-domain method to simulate the Jones matrix of rectangular column superatoms of different sizes, then takes the average of each element of the Jones matrix of adjacent N*N superatoms to estimate the overall Jones matrix, then generates the target Jones matrix distribution of different spatial positions according to the required application, and finally finds the appropriate superpixel for each spatial position by using a two-step search algorithm to obtain the appropriate metasurface design. In principle, it can be applied to rectangular column superatoms of various materials and working wavelengths; at the same time, it can be applied to polarization beam splitters, polarization analyzers, multi-channel holograms, new polarization-related functional metasurfaces, etc., and is a general polarization-related metasurface design method. Compared with traditional metasurface technology, it not only can realize arbitrary phase modulation, but also can realize arbitrary symmetric Jones matrix and complete the manipulation of the polarization degree of freedom.

[0087] Based on the same overall inventive concept, the present application also protects a metasurface design system based on the combination of rectangular column superatoms. The metasurface design system based on the combination of rectangular column superatoms provided by the present application is described below, and the metasurface design system based on the combination of rectangular column superatoms described below can be mutually referred to the metasurface design method based on the combination of rectangular column superatoms described above.

[0088] Figure 9 is a structural schematic diagram of the metasurface design system based on the combination of rectangular column superatoms provided by the present application. As Figure 9 shown, it includes an acquisition module 910, a decomposition module 920 and a design module 930; wherein,

[0089] The acquisition module 910 is configured to acquire a metasurface to be designed;

[0090] The decomposition module 920 is configured to divide the metasurface to be designed into a plurality of preset superpixels based on the size information of the metasurface to be designed and the size information of the preset superpixels, wherein the preset superpixel is a structure arranged by a preset number of preselected rectangular column superatoms;

[0091] Design module 930 is used to determine the design parameters of the pre-selected rectangular cylindrical superatoms that make up each of the preset superpixels of the metasurface to be designed, based on the target Jones matrix and the Jones matrix calculation function of the preset superpixels. The target Jones matrix is ​​the Jones matrix at different positions of the metasurface to be designed corresponding to each of the preset superpixels, determined based on the functional requirements of the metasurface to be designed. The Jones matrix calculation function is a calculation formula that takes the average of the Jones matrices of each of the pre-selected rectangular cylindrical superatoms that make up the preset superpixels.

[0092] The metasurface design system based on the combination of rectangular prism superatoms provided in this invention, after acquiring the metasurface to be designed, divides the metasurface into several preset superpixels based on the size information of the metasurface and the size information of preset superpixels composed of a preset number of pre-selected rectangular prism superatoms. It then determines the design parameters of the pre-selected rectangular prism superatoms constituting each preset superpixel by using the target Jones matrix at different positions on the metasurface corresponding to each preset superpixel, determined based on the functional requirements of the metasurface, and the Jones matrix calculation function of the preset superpixels. The Jones matrix calculation function is a formula for averaging the Jones matrices of the pre-selected rectangular prism superatoms constituting the preset superpixels. Thus, by combining the nearest neighbors of the pre-selected rectangular prism superatoms into superpixels, the system achieves the design of metasurfaces with arbitrary symmetric Jones matrices, thereby obtaining a higher degree of design freedom.

[0093] Based on the above embodiments, the metasurface design system based on rectangular column superatomic assemblies further includes: a screening module;

[0094] The screening module is used to select several rectangular cylindrical superatoms that meet preset size conditions based on the size information of the metasurface to be designed. The preset size conditions include: the height of each rectangular cylindrical superatom is the same, the diagonal length is less than the arrangement spacing of the rectangular cylindrical superatoms on the metasurface to be designed, and the width and length meet the process requirements of the metasurface to be designed; the horizontal and vertical polarization responses of each rectangular cylindrical superatom are simulated respectively to obtain two diagonal elements of each rectangular cylindrical superatom; based on the diagonal elements, rectangular cylindrical superatoms with the sum of horizontal and vertical transmittance greater than a preset transmittance threshold and the difference between the horizontal and vertical polarization responses greater than a preset polarization difference threshold are selected; and the selected rectangular cylindrical superatoms are used as the pre-selected rectangular cylindrical superatoms.

[0095] Based on the above embodiments, the screening module is specifically used to: simulate the horizontal and vertical polarization responses of each of the rectangular cylindrical superatoms based on the finite-difference time-domain method.

[0096] Based on the above embodiments, the design parameters include: horizontal polarization response, vertical polarization response, and rotation angle.

[0097] Figure 10 An example is a schematic diagram of the physical structure of an electronic device, such as... Figure 10 As shown, the electronic device may include: a processor 1010, a communications interface 1020, a memory 1030, and a communications bus 1040, wherein the processor 1010, the communications interface 1020, and the memory 1030 communicate with each other through the communications bus 1040. Processor 1010 can call logic instructions in memory 1030 to execute a metasurface design method based on the combination of rectangular prism superatoms. The method includes: acquiring a metasurface to be designed; dividing the metasurface to be designed into several preset superpixels based on the size information of the metasurface to be designed and the size information of preset superpixels, wherein the preset superpixels are structures arranged by a preset number of preselected rectangular prism superatoms; determining the design parameters of the preselected rectangular prism superatoms constituting each preset superpixel of the metasurface to be designed based on a target Jones matrix and a Jones matrix calculation function of the preset superpixels, wherein the target Jones matrix is ​​a Jones matrix at different positions on the metasurface to be designed corresponding to each preset superpixel, determined based on the functional requirements of the metasurface to be designed, and the Jones matrix calculation function is a calculation formula that averages the Jones matrices of each preselected rectangular prism superatoms constituting the preset superpixels.

[0098] Furthermore, the logical instructions in the aforementioned memory 1030 can be implemented as software functional units and, when sold or used as independent products, can be stored in a computer-readable storage medium. Based on this understanding, the technical solution of the present invention, or the part that contributes to the prior art, or a part of the technical solution, can be embodied in the form of a software product. This computer software product is stored in a storage medium and includes several instructions to cause a computer device (which may be a personal computer, server, or network device, etc.) to execute all or part of the steps of the methods described in the various embodiments of the present invention. The aforementioned storage medium includes various media capable of storing program code, such as USB flash drives, portable hard drives, read-only memory (ROM), random access memory (RAM), magnetic disks, or optical disks.

[0099] On the other hand, the present invention also provides a computer program product, which includes a computer program that can be stored on a non-transitory computer-readable storage medium. When the computer program is executed by a processor, the computer can execute the metasurface design method based on the combination of rectangular prism superatoms provided by the above methods. The method includes: obtaining a metasurface to be designed; dividing the metasurface to be designed into a plurality of preset superpixels based on the size information of the metasurface to be designed and the size information of preset superpixels, wherein the preset superpixels are structures arranged by a preset number of preselected rectangular prism superatoms; determining the design parameters of the preselected rectangular prism superatoms that make up each preset superpixel of the metasurface to be designed based on a target Jones matrix and a Jones matrix calculation function of the preset superpixels, wherein the target Jones matrix is ​​a Jones matrix at different positions of the metasurface to be designed corresponding to each preset superpixel, determined based on the functional requirements of the metasurface to be designed, and the Jones matrix calculation function is a calculation formula that averages the Jones matrices of each preselected rectangular prism superatoms that make up the preset superpixels.

[0100] In another aspect, the present invention also provides a non-transitory computer-readable storage medium storing a computer program thereon. When executed by a processor, the computer program implements the metasurface design method based on the combination of rectangular prism superatoms provided by the above methods. The method includes: obtaining a metasurface to be designed; dividing the metasurface to be designed into a plurality of preset superpixels based on the size information of the metasurface to be designed and the size information of preset superpixels, wherein the preset superpixels are structures arranged by a preset number of preselected rectangular prism superatoms; determining the design parameters of the preselected rectangular prism superatoms that make up each preset superpixel of the metasurface to be designed based on a target Jones matrix and a Jones matrix calculation function of the preset superpixels, wherein the target Jones matrix is ​​a Jones matrix at different positions of the metasurface to be designed corresponding to each preset superpixel, determined based on the functional requirements of the metasurface to be designed, and the Jones matrix calculation function is a calculation formula for averaging the Jones matrices of each preselected rectangular prism superatoms that make up the preset superpixels.

[0101] The device embodiments described above are merely illustrative. The units described as separate components may or may not be physically separate. The components shown as units may or may not be physical units; that is, they may be located in one place or distributed across multiple network units. Some or all of the modules can be selected to achieve the purpose of this embodiment according to actual needs. Those skilled in the art can understand and implement this without any creative effort.

[0102] Through the above description of the embodiments, those skilled in the art can clearly understand that each embodiment can be implemented by means of software plus necessary general-purpose hardware platforms, and of course, it can also be implemented by hardware. Based on this understanding, the above technical solutions, in essence or the part that contributes to the prior art, can be embodied in the form of a software product. This computer software product can be stored in a computer-readable storage medium, such as ROM / RAM, magnetic disk, optical disk, etc., and includes several instructions to cause a computer device (which may be a personal computer, server, or network device, etc.) to execute the methods described in the various embodiments or some parts of the embodiments.

[0103] Finally, it should be noted that the above embodiments are only used to illustrate the technical solutions of the present invention, and not to limit them; although the present invention has been described in detail with reference to the foregoing embodiments, those skilled in the art should understand that modifications can still be made to the technical solutions described in the foregoing embodiments, or equivalent substitutions can be made to some of the technical features; and these modifications or substitutions do not cause the essence of the corresponding technical solutions to deviate from the spirit and scope of the technical solutions of the embodiments of the present invention.

Claims

1. A metasurface design method based on the combination of rectangular prism superatoms, characterized in that, include: Obtain the metasurface to be designed; Based on the size information of the metasurface to be designed, a number of rectangular cylindrical superatoms that meet the preset size conditions are selected. The preset size conditions include: the height of each rectangular cylindrical superatom is the same, the diagonal length is less than the arrangement spacing of the rectangular cylindrical superatoms on the metasurface to be designed, and the width and length meet the process requirements of the metasurface to be designed. The horizontal and vertical polarization responses of each rectangular cylindrical superatom were simulated separately to obtain the two diagonal elements of each rectangular cylindrical superatom. Based on the diagonal element, rectangular columnar superatoms are selected where the sum of horizontal and vertical transmittance is greater than a preset transmittance threshold, and the difference between the polarization responses in the horizontal and vertical directions is greater than a preset polarization difference threshold. The selected rectangular cylindrical superatoms are used as pre-selected rectangular cylindrical superatoms; Based on the size information of the metasurface to be designed and the size information of the preset superpixels, the metasurface to be designed is divided into a number of preset superpixels, wherein the preset superpixels are structures arranged by a preset number of preselected rectangular column superatoms; Based on the target Jones matrix and the Jones matrix calculation function of the preset superpixel, the design parameters of the pre-selected rectangular cylindrical superatoms that make up each preset superpixel of the metasurface to be designed are determined. The target Jones matrix is ​​the Jones matrix at different positions of the metasurface to be designed corresponding to each preset superpixel, determined based on the functional requirements of the metasurface to be designed. The Jones matrix calculation function is a calculation formula that takes the average of the Jones matrices of each pre-selected rectangular cylindrical superatoms that make up the preset superpixel. The design parameters include: horizontal polarization response, vertical polarization response, and rotation angle.

2. The metasurface design method based on rectangular prism superatomic assemblages according to claim 1, characterized in that, Based on the finite-difference time-domain method, the horizontal and vertical polarization responses of each of the rectangular cylindrical superatoms were simulated.

3. A metasurface design system based on the combination of rectangular pillar superatoms, characterized in that, include: The acquisition module is used to acquire the metasurface to be designed; The decomposition module is used to divide the metasurface to be designed into a number of preset superpixels based on the size information of the metasurface to be designed and the size information of the preset superpixels. The preset superpixels are structures arranged by a preset number of preselected rectangular column superatoms. The design module is used to determine the design parameters of the pre-selected rectangular cylindrical superatoms that make up each of the preset superpixels of the metasurface to be designed, based on the target Jones matrix and the Jones matrix calculation function of the preset superpixels. The target Jones matrix is ​​the Jones matrix at different positions of the metasurface to be designed corresponding to each of the preset superpixels, determined based on the functional requirements of the metasurface to be designed. The Jones matrix calculation function is a calculation formula that takes the average of the Jones matrices of each of the pre-selected rectangular cylindrical superatoms that make up the preset superpixels. The filtering module is used to select a number of rectangular cylindrical superatoms that meet preset size conditions based on the size information of the metasurface to be designed. The preset size conditions include: the height of each rectangular cylindrical superatom is the same, the diagonal length is less than the arrangement spacing of the rectangular cylindrical superatoms on the metasurface to be designed, and the width and length meet the process requirements of the metasurface to be designed. The horizontal and vertical polarization responses of each rectangular cylindrical superatom were simulated separately to obtain the two diagonal elements of each rectangular cylindrical superatom. Based on the diagonal element, rectangular columnar superatoms are selected where the sum of horizontal and vertical transmittance is greater than a preset transmittance threshold, and the difference between the polarization responses in the horizontal and vertical directions is greater than a preset polarization difference threshold. The selected rectangular column superatoms are used as the pre-selected rectangular column superatoms; The design parameters include: horizontal polarization response, vertical polarization response, and rotation angle.

4. The metasurface design system based on rectangular prism superatomic assemblages according to claim 3, characterized in that, The screening module is specifically used to: simulate the horizontal and vertical polarization responses of each of the rectangular cylindrical superatoms based on the finite-difference time-domain method.

5. An electronic device, comprising a memory, a processor, and a computer program stored in the memory and executable on the processor, characterized in that, When the processor executes the program, it implements the metasurface design method based on the combination of rectangular prism superatoms as described in any one of claims 1 to 2.

6. A non-transitory computer-readable storage medium having a computer program stored thereon, characterized in that, When the computer program is executed by the processor, it implements the metasurface design method based on the combination of rectangular prism superatoms as described in any one of claims 1 to 2.

Citation Information

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