A superpixel design method and system based on cascaded superatoms
By using a superpixel design method based on cascaded superatoms, the problem that superpixels and metasurfaces cannot cover arbitrary Jones matrices in polarization-related applications is solved, achieving higher design freedom and versatility, and supporting the realization of multi-channel polarization multiplexing and complex optical functions.
Patent Information
- Application Number
- CN202411742321.9
- Authority / Receiving Office
- CN · China
- Patent Type
- Applications(China)
- Current Assignee / Owner
- Filing Date
- 2024-11-29
- Publication Date
- 2026-05-29
AI Technical Summary
Existing superpixels and metasurfaces cannot cover arbitrary Jones matrices in polarization-related applications, which limits their application potential and functional performance in the optical field.
A superpixel design method based on cascaded superatoms is adopted. Through simulation, forward calculation, reverse calculation and verification conditions, the design parameters of the superpixel are determined to achieve coverage of arbitrary Jones matrices.
It achieves coverage of arbitrary Jones matrices, enhances the design freedom and versatility of superpixels, and supports the realization of multi-channel polarization multiplexing and complex optical functions.
Smart Images
Figure CN122113342A_ABST
Abstract
Description
Technical Field
[0001] This invention relates to the field of metasurface technology, and in particular to a superpixel design method and system based on cascaded superatoms. Background Technology
[0002] Metasurfaces are artificial nanostructures with subwavelength structures and periodic arrangements, capable of manipulating the propagation and scattering of light waves. By altering their structure, metasurfaces can control light waves, enabling various optical functions such as imaging, focusing, polarization manipulation, wavelength selection, and nonlinear optical effects. A metasurface comprises several superpixels, each consisting of several superatoms. Superatoms with different structures exhibit different phase modulations; arranging them as pixels can generate metasurfaces with various functions, such as supergratings, superlenses, and holograms. However, in polarization-dependent applications, the required superatomic optical field response still cannot cover arbitrary Jones matrices, limiting the application potential of superpixels and metasurfaces in optics and affecting their performance in achieving complex optical functions. Summary of the Invention
[0003] This invention provides a superpixel design method and system based on cascaded superatoms to overcome the limitation of existing technologies in covering arbitrary Jones matrices. This invention can realize arbitrary Jones matrices, offering greater design freedom and versatility.
[0004] This invention provides a superpixel design method based on cascaded superatoms, comprising: determining the Jones matrix of simulated superatoms according to a preset superatom simulation method; performing forward calculation on the Jones matrix of the simulated superatoms according to a preset superpixel design forward algorithm to determine a forward superatom matrix and a forward superpixel matrix; the forward superatom matrix is the Jones matrix of cascaded superatoms obtained by forward calculation, and the forward superpixel matrix is the Jones matrix of superpixels obtained by forward calculation; the superpixel includes a plurality of the cascaded superatoms; determining a spatial superpixel matrix according to preset hyperplane design requirements; the spatial superpixel matrix is the Jones matrix of superpixels based on spatial positional relationships; performing reverse calculation on the spatial superpixel matrix according to a preset superpixel design reverse algorithm to obtain a reverse superatom matrix; the reverse superatom matrix is the Jones matrix of cascaded superatoms obtained by reverse calculation; and determining the design parameters of the superpixel based on the forward superatom matrix and the reverse superatom matrix, provided that verification conditions are met; the verification conditions are that the calculation results of the forward superpixel matrix and the reverse superatom matrix are consistent with the spatial superpixel matrix.
[0005] According to the present invention, a superpixel design method based on cascaded superatoms is provided, wherein the forward superatom matrix satisfies the following relationship: , in, J DR It is a forward two-layer cascaded superatomic matrix. J RR The Jones matrix for the first simulated superatom. The Jones matrix for the second simulated superatom. The phase modulation amount for the horizontal polarization of the first simulated superatom. This represents the phase modulation amount for the vertical polarization of the first simulated superatom. The rotation angle of the first simulated superatom. The rotation angle of the second simulated superatom. The phase modulation amount for the horizontal polarization of the second simulated superatom. This represents the phase modulation amount of the vertical polarization of the second simulated superatom.
[0006] According to the present invention, a superpixel design method based on cascaded superatoms is provided, wherein the forward superpixel matrix satisfies the following relationship: , in, J total For the positive superpixel matrix, N 2 This represents the number of superatoms in a superpixel. i For the selected number i One superatom, J DR,i For the selected number i A forward superatomic matrix of superatoms. N It is a positive integer not less than 2.
[0007] According to the present invention, a superpixel design method based on cascaded superatoms is provided, wherein the inverse superatomic matrix satisfies the following relationship: , in, J DR,1 The inverse superatom matrix of the first selected superatom. J DR,2 This is the inverse superatomic matrix of the second superatom. J DR,3 This is the inverse superatomic matrix of the third superatom. J DR,4 This is the inverse superatomic matrix of the 4th superatom. and The design parameters for the inverse superatom matrix of the first selected superatom. and The design parameters for the inverse superatom matrix of the selected second superatom. and The design parameters for the inverse superatom matrix of the selected third superatom. and The design parameters are for the inverse superatom matrix of the selected fourth superatom.
[0008] According to the present invention, a superpixel design method based on cascaded superatoms is provided, wherein the superpixel comprises a plurality of two-layer cascaded superatoms.
[0009] This invention also provides a superpixel design system based on cascaded superatoms, comprising: a simulation module for determining the Jones matrix of simulated superatoms according to a preset superatom simulation method; a forward calculation module for performing forward calculation on the Jones matrix of the simulated superatoms according to a preset superpixel design forward algorithm to determine a forward superatom matrix and a forward superpixel matrix; wherein the forward superatom matrix is the Jones matrix of the cascaded superatoms obtained by forward calculation, and the forward superpixel matrix is the Jones matrix of the superpixel obtained by forward calculation; the superpixel includes a plurality of the cascaded superatoms; and a spatial superpixel matrix determination module for determining the spatial superpixel matrix according to a preset hyperplane design requirement. The system comprises: a spatial superpixel matrix; a Jones matrix of superpixels based on spatial positional relationships; a reverse calculation module for performing reverse calculations on the spatial superpixel matrix according to a preset superpixel design reverse algorithm to obtain a reverse superatomic matrix; the reverse superatomic matrix is a Jones matrix of cascaded superatoms obtained through reverse calculation; and a verification module for determining the design parameters of the superpixel based on the forward superatomic matrix and the reverse superatomic matrix, provided that verification conditions are met; the verification conditions are that the calculation results based on the forward superpixel matrix and the reverse superatomic matrix are consistent with the spatial superpixel matrix.
[0010] The present invention also provides a superpixel based on cascaded superatoms, which is designed using the above-described superpixel design method based on cascaded superatoms.
[0011] The present invention also provides a metasurface based on cascaded superatoms, including the superpixel based on cascaded superatoms described above.
[0012] The present invention also provides an electronic device, including a memory, a processor, and a computer program stored in the memory and running on the processor, wherein the processor executes the computer program to implement the superpixel design method based on cascaded superatoms as described above.
[0013] The present invention also provides a non-transitory computer-readable storage medium having a computer program stored thereon, which, when executed by a processor, implements the superpixel design method based on cascaded superatoms as described above.
[0014] This invention provides a superpixel design method and system based on cascaded superatoms. The method includes: determining the Jones matrix of the simulated superatoms according to a preset superatom simulation method; performing forward calculation on the Jones matrix of the simulated superatoms according to a preset superpixel design forward algorithm to determine the forward superatom matrix and the forward superpixel matrix; determining the spatial superpixel matrix according to preset hyperplane design requirements; performing reverse calculation on the spatial superpixel matrix according to a preset superpixel design reverse algorithm to obtain the inverse superatom matrix; and determining the superpixel design parameters based on the forward and inverse superatom matrices, provided that verification conditions are met. The verification condition is that the calculation results of the forward and inverse superatom matrices are consistent with the spatial superpixel matrix. This invention can realize arbitrary Jones matrices, exhibiting higher design freedom and versatility. Attached Figure Description
[0015] To more clearly illustrate the technical solutions in this invention or the prior art, the drawings used in the description of the embodiments or the prior art will be briefly introduced below. Obviously, the drawings described below are some embodiments of this invention. For those skilled in the art, other drawings can be obtained from these drawings without creative effort.
[0016] Figure 1 This is a flowchart illustrating a superpixel design method based on cascaded superatoms provided by the present invention.
[0017] Figure 2 This is a schematic diagram of the rectangular cylindrical superatom provided by the present invention.
[0018] Figure 3 This is a schematic diagram of the rotating rectangular cylindrical superatom provided by the present invention.
[0019] Figure 4 This is a schematic diagram of the bilayer cascaded superatoms provided by the present invention.
[0020] Figure 5 This is a schematic diagram of a combined superpixel composed of cascaded superatoms provided by the present invention.
[0021] Figure 6 This is a schematic diagram of the structure of a superpixel design system based on cascaded superatoms provided by the present invention.
[0022] Figure 7 This is a schematic diagram of the structure of the electronic device provided by the present invention. Detailed Implementation
[0023] To make the objectives, technical solutions, and advantages of this invention clearer, the technical solutions of this invention will be clearly and completely described below with reference to the accompanying drawings. Obviously, the described embodiments are only some, not all, of the embodiments of this invention. All other embodiments obtained by those skilled in the art based on the embodiments of this invention without creative effort are within the scope of protection of this invention.
[0024] Please refer to Figure 1 , Figure 1 This is a flowchart illustrating a superpixel design method based on cascaded superatoms provided by the present invention.
[0025] This invention provides a superpixel design method based on cascaded superatoms, comprising: 101: Determine the Jones matrix of the simulated superatom based on the preset superatom simulation method.
[0026] Please refer to Figure 2 , Figure 2 This is a schematic diagram of the rectangular cylindrical superatom provided by the present invention.
[0027] In this embodiment, a polarization-dependent rectangular cylindrical superatom is used. The finite-difference time-domain method is employed to simulate the horizontal and vertical polarization responses of superatoms of different sizes, obtaining the two diagonal elements of the Jones matrix of the simulated superatom, which are complex numbers with an absolute value of 1. The Jones matrix of the simulated superatom satisfies the following relationship: , in, J Rect The Jones matrix is used to simulate superatoms.
[0028] After obtaining a certain number of Jones matrices for simulated superatoms, they can be screened according to the following principles: The height of superatoms on the same metasurface must be the same, and their width and length must meet the process requirements of the hyperplane to ensure the process feasibility of the hyperplane design.
[0029] Meanwhile, considering that the structure of the rectangular column superatoms is parallel to the polarization direction during simulation, but may need to be rotated when actually spliced into a hyperplane, the diagonal length of the structure of the rectangular column superatoms is set to be less than the arrangement spacing of the rectangular column superatoms on the hyperplane. This can filter out rectangular column superatoms with diagonal lengths less than the arrangement spacing, thereby avoiding conflicts that may occur when arranging them if the diagonal is too large.
[0030] Transmittance of horizontal and vertical polarization and All are greater than the preset transmittance threshold, and the phase modulation amounts of horizontal and vertical polarization are also greater than the preset transmittance threshold. and Cover as much as possible All values.
[0031] After the above screening, the obtained superatoms are used as a set of raw data and then processed.
[0032] To facilitate subsequent processing, a special rectangular pillar, called HWP, is selected from the simulation dataset. The phase modulation of its horizontal and vertical polarization inputs is exactly different. That is, the Jones matrix can be written as: , in, J Rect，HWP To simulate the Jones matrix of superatoms in HWP, The horizontal polarization phase modulation of superatoms is simulated for HWP.
[0033] 102: Based on the preset superpixel design forward algorithm, perform forward calculation on the Jones matrix of the simulated superatoms to determine the forward superatom matrix and the forward superpixel matrix; the forward superatom matrix is the Jones matrix of the cascaded superatoms obtained by forward calculation, and the forward superpixel matrix is the Jones matrix of the superpixels obtained by forward calculation; the superpixel includes several cascaded superatoms.
[0034] Please refer to Figure 3 , Figure 3 This is a schematic diagram of the rotating rectangular cylindrical superatom provided by the present invention.
[0035] In this embodiment, for rotation within a plane The rectangular prism placed at the corner (first simulated superatom) satisfies the following relationship in its Jones matrix: Please refer to Figure 4 , Figure 4 This is a schematic diagram of the bilayer cascaded superatoms provided by the present invention.
[0036] As a preferred embodiment, the forward superatomic matrix satisfies the following relation: , in, J DR It is a forward two-layer cascaded superatomic matrix. J RR The Jones matrix for the first simulated superatom. The Jones matrix for the second simulated superatom. The phase modulation amount for the horizontal polarization of the first simulated superatom. This represents the phase modulation amount for the vertical polarization of the first simulated superatom. The rotation angle of the first simulated superatom. The rotation angle of the second simulated superatom. The phase modulation amount for the horizontal polarization of the second simulated superatom. This represents the phase modulation amount of the vertical polarization of the second simulated superatom.
[0037] In one preferred embodiment, the superpixel comprises a plurality of bilayer cascaded superatoms.
[0038] The Jones matrix for a two-layer cascaded superatom is: J DR The Jones matrix of the first simulated superatom can be used. J RR Jones matrix of the second simulated superatom The product is obtained by forward calculation.
[0039] Please refer to Figure 5 , Figure 5 This is a schematic diagram of a combined superpixel composed of cascaded superatoms provided by the present invention.
[0040] In a preferred embodiment, the forward superpixel matrix satisfies the following relationship: , in, J total For positive superpixel matrix, N 2 This represents the number of superatoms in a superpixel. i For the selected number i One superatom, J DR,i For the selected number i A forward superatomic matrix of superatoms. N It is a positive integer not less than 2.
[0041] for N × N The structure composed of two-layer cascaded superatoms can be considered as a whole, that is, the final superpixel; for N Forward superpixel matrix in the case of =2 J total This can be calculated by averaging the values of each positive superatomic matrix. N It is a positive integer not less than 2, and follows N Increasing the value improves the design effect of the hyperplane, but it also makes the superpixel size larger and the resolution lower. Therefore, N The quantity should be set according to actual needs.
[0042] Of course, a superpixel can include several multi-layer cascaded superatoms, such as three-layer cascaded superatoms, but this invention does not make any particular limitation.
[0043] 103: Determine the spatial superpixel matrix according to the preset hyperplane design requirements; the spatial superpixel matrix is a Jones matrix based on the spatial position relationship of the superpixels.
[0044] In this embodiment, the spatial superpixel matrix distribution is determined by the desired metasurface functionality. For lenses and polarizing beam splitters, the spatial superpixel matrix distribution is directly given by formulas; for holograms, the spatial superpixel matrix distribution needs to be generated by an iterative algorithm in conjunction with Fourier optics; for more complex multi-channel functional metasurfaces, the spatial superpixel matrix distribution is also given by a specific algorithm, where each element takes the value of a complex number.
[0045] It can be seen that the spatial superpixel matrix is not a fixed matrix, but rather depends on the spatial location ( x , y The function is discretized by combining the superpixel size, making the entire metasurface a function of... M Composed of several different superpixels, corresponding to M A fixed spatial superpixel matrix. Where the first... m The spatial superpixel matrix satisfies the following relationship: for M Given a fixed spatial superpixel matrix, we search for suitable superpixel structures one by one. The following discussion uses any single superpixel as an example; the same logic applies to other superpixels. Therefore, the subscripts... m Omit.
[0046] First, the spatial superpixel matrix is decomposed into the sum of two matrices, such that the absolute value of each element in each matrix is 1 / 2.
[0047] in: Note that this decomposition method requires , B , C , D The decomposition method and conditions are similar. This condition can be applied to... By reducing the size by a constant factor, the functionality remains unaffected, only introducing some overhead. (The above is taken as an example.) N =2, meaning each superpixel contains 4 cascaded superatoms.
[0048] 104: Based on the preset superpixel design reverse algorithm, the spatial superpixel matrix is reverse calculated to obtain the reverse superatomic matrix; the reverse superatomic matrix is the Jones matrix of the cascaded superatoms obtained by reverse calculation.
[0049] As a preferred embodiment, the inverse superatomic matrix satisfies the following relation: , in, J DR,1 The inverse superatom matrix of the first selected superatom. J DR,2 This is the inverse superatomic matrix of the second superatom. J DR,3 This is the inverse superatomic matrix of the third superatom. J DR,4 This is the inverse superatomic matrix of the 4th superatom. and The design parameters for the inverse superatom matrix of the first selected superatom. and The design parameters for the inverse superatom matrix of the selected second superatom. and The design parameters for the inverse superatom matrix of the selected third superatom. and The design parameters are for the inverse superatom matrix of the selected fourth superatom.
[0050] 105: Under the condition of meeting the verification conditions, determine the design parameters of the superpixel based on the forward superatomic matrix and the inverse superatomic matrix; the verification condition is that the calculation results based on the forward superpixel matrix and the inverse superatomic matrix are consistent with the spatial superpixel matrix.
[0051] Based on the forward superpixel matrix J total The calculation is performed with the inverse superatomic matrix, and the result is exactly the same as the spatial superpixel matrix. J target Consistent (verification conditions).
[0052] Next, we will discuss each cascaded superatom individually. J DR,i The implementation of. For J DR,1 ( J DR,3 Similarly), in the forward superatomic matrix J DR Winning = =0: It can be seen that the cascaded superatoms J DR,1 The two rectangular pillars at the top and bottom do not need to be rotated; they only need to meet the design parameters. This is easily achieved because the superatomic data in the simulation is abundant enough. For example, it can be directly set... , (Superpixel design parameters). A more accurate solution can also be selected based on the actual data distribution.
[0053] for J DR,2 ( J DR,4 Similarly), in the forward superatomic matrix J DR Winning : Let cascaded superatoms be formed J DR,2 The upper superatoms are the aforementioned HWP, which will Replace with We can obtain: It can be seen that the cascaded superatoms J DR,2 The upper superatoms must satisfy: Select the superatom that best matches these parameters from the simulation data. At this point, the entire 2×2 superpixel structure is determined. It should be noted that there is no single way to combine 2×2 double-layer cascaded superatoms to construct a superpixel; this is merely a general and concise reverse design method.
[0054] The superpixel design system based on cascaded superatoms provided by this invention will be described below. The superpixel design system based on cascaded superatoms described below can be referred to in correspondence with the superpixel design method based on cascaded superatoms described above.
[0055] Please refer to Figure 6 , Figure 6 This is a schematic diagram of a superpixel design system based on cascaded superatoms provided by the present invention.
[0056] This invention also provides a superpixel design system based on cascaded superatoms, comprising: a simulation module 601, used to determine the Jones matrix of the simulated superatoms according to a preset superatom simulation method; a forward calculation module 602, used to perform forward calculation on the Jones matrix of the simulated superatoms according to a preset superpixel design forward algorithm, to determine the forward superatom matrix and the forward superpixel matrix; the forward superatom matrix is the Jones matrix of the cascaded superatoms obtained by forward calculation, and the forward superpixel matrix is the Jones matrix of the superpixel obtained by forward calculation; the superpixel includes several cascaded superatoms; and a spatial superpixel matrix determination module 603, used to determine the Jones matrix of the superpixel according to a preset superatom simulation method; The hyperplane design requires determining the spatial superpixel matrix; the spatial superpixel matrix is a Jones matrix of superpixels based on spatial positional relationships; the inverse calculation module 604 is used to perform inverse calculation on the spatial superpixel matrix according to a preset superpixel design inverse algorithm to obtain the inverse superatomic matrix; the inverse superatomic matrix is a Jones matrix of cascaded superatoms obtained by inverse calculation; the verification module 605 is used to determine the design parameters of the superpixel based on the forward superatomic matrix and the inverse superatomic matrix, provided that the verification conditions are met; the verification condition is that the calculation results of the forward superpixel matrix and the inverse superatomic matrix are consistent with the spatial superpixel matrix.
[0057] This invention can realize arbitrary Jones matrices, offering greater freedom and versatility in functionality. Furthermore, it is versatile in terms of material systems and operating wavelengths. This invention can achieve polarization multiplexing of more than four channels and can be applied to polarization beam splitters, polarization analyzers, multi-channel holograms, novel polarization-dependent functional metasurfaces, and more.
[0058] The superpixel based on cascaded superatoms provided by this invention will be described below. The superpixel based on cascaded superatoms described below can be referred to in correspondence with the superpixel design method based on cascaded superatoms described above.
[0059] The present invention also provides a superpixel based on cascaded superatoms, which is designed using the above-described superpixel design method based on cascaded superatoms.
[0060] The metasurface based on cascaded superatoms provided by this invention will be described below. The metasurface based on cascaded superatoms described below can be referred to in correspondence with the superpixel design method based on cascaded superatoms described above.
[0061] The present invention also provides a metasurface based on cascaded superatoms, including the superpixel based on cascaded superatoms described above.
[0062] Figure 7 An example is a schematic diagram of the structure of an electronic device, such as... Figure 7As shown, the electronic device may include: a processor 710, a communications interface 720, a memory 730, and a communications bus 740, wherein the processor 710, the communications interface 720, and the memory 730 communicate with each other through the communications bus 740. The processor 710 can call logic instructions in the memory 730 to execute a superpixel design method based on cascaded superatoms. This method includes: determining the Jones matrix of the simulated superatoms according to a preset superatom simulation method; performing forward calculation on the Jones matrix of the simulated superatoms according to a preset superpixel design forward algorithm to determine a forward superatom matrix and a forward superpixel matrix; the forward superatom matrix is the Jones matrix of the cascaded superatoms obtained through forward calculation, and the forward superpixel matrix is the Jones matrix of the superpixels obtained through forward calculation; a superpixel includes several cascaded superatoms; determining the spatial superpixel matrix according to preset hyperplane design requirements; the spatial superpixel matrix is the Jones matrix of superpixels based on spatial positional relationships; performing reverse calculation on the spatial superpixel matrix according to a preset superpixel design reverse algorithm to obtain a reverse superatom matrix; the reverse superatom matrix is the Jones matrix of the cascaded superatoms obtained through reverse calculation; and determining the design parameters of the superpixel based on the forward and reverse superatom matrices, provided that verification conditions are met; the verification condition is that the calculation results based on the forward and reverse superatom matrices are consistent with the spatial superpixel matrix.
[0063] Furthermore, the logical instructions in the aforementioned memory 730 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, essentially, 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.
[0064] 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 is able to execute the superpixel design method based on cascaded superatoms provided by the above methods. This method includes: determining the Jones matrix of the simulated superatoms according to a preset superatom simulation method; performing forward calculation on the Jones matrix of the simulated superatoms according to a preset superpixel design forward algorithm to determine the forward superatom matrix and the forward superpixel matrix; the forward superatom matrix is the Jones matrix of the cascaded superatoms obtained by forward calculation, and the forward superpixel matrix... The first superpixel is the Jones matrix obtained through forward calculation; the superpixel consists of several cascaded superatoms; the second superpixel matrix is determined according to the preset hyperplane design requirements; the third superpixel matrix is the Jones matrix of superpixels based on spatial positional relationships; the fourth superpixel matrix is calculated inversely according to the preset superpixel design inverse algorithm to obtain the inverse superatom matrix; the fifth superatom matrix is the Jones matrix of cascaded superatoms obtained through inverse calculation; the sixth superpixel design parameters are determined based on the forward and inverse superatom matrices, provided that the verification conditions are met; the verification condition is that the calculation results of the forward and inverse superatom matrices are consistent with the spatial superpixel matrix.
[0065] In another aspect, the present invention also provides a non-transitory computer-readable storage medium storing a computer program thereon, which, when executed by a processor, is implemented to perform the superpixel design method based on cascaded superatoms provided by the methods described above. This method includes: determining the Jones matrix of the simulated superatoms according to a preset superatom simulation method; performing forward calculation on the Jones matrix of the simulated superatoms according to a preset superpixel design forward algorithm to determine a forward superatom matrix and a forward superpixel matrix; the forward superatom matrix is the Jones matrix of the cascaded superatoms obtained through forward calculation, and the forward superpixel matrix is the Jones matrix of the superpixels obtained through forward calculation. The superpixel consists of several cascaded superatoms. Based on the preset hyperplane design requirements, a spatial superpixel matrix is determined. The spatial superpixel matrix is a Jones matrix of superpixels based on their spatial positional relationships. The spatial superpixel matrix is then inversely calculated using the preset superpixel design inverse algorithm to obtain the inverse superatom matrix. The inverse superatom matrix is a Jones matrix of cascaded superatoms obtained through inverse calculation. Under the condition that the verification criteria are met, the superpixel design parameters are determined based on the forward and inverse superatom matrices. The verification criteria are that the calculation results based on the forward and inverse superatom matrices are consistent with the spatial superpixel matrix.
[0066] 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.
[0067] 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.
[0068] 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 superpixel design method based on cascaded superatoms, characterized in that, include: Based on the pre-defined superatom simulation method, determine the Jones matrix of the simulated superatom; The Jones matrix of the simulated superatoms is calculated in a forward direction according to the preset superpixel design forward algorithm to determine the forward superatom matrix and the forward superpixel matrix; the forward superatom matrix is the Jones matrix of the cascaded superatoms obtained by forward calculation, and the forward superpixel matrix is the Jones matrix of the superpixel obtained by forward calculation; the superpixel includes a plurality of the cascaded superatoms; Determine the spatial superpixel matrix based on the preset hyperplane design requirements; The spatial superpixel matrix is a Jones matrix of superpixels based on spatial positional relationships; The spatial superpixel matrix is reverse-calculated according to the preset superpixel design reverse algorithm to obtain the reverse superatomic matrix; the reverse superatomic matrix is the Jones matrix of cascaded superatoms obtained by reverse calculation; Under the condition that the verification conditions are met, the design parameters of the superpixel are determined based on the forward superatomic matrix and the reverse superatomic matrix; The verification condition is that the calculation results of the forward superpixel matrix and the reverse superatomic matrix are consistent with the spatial superpixel matrix.
2. The superpixel design method based on cascaded superatoms according to claim 1, characterized in that, The positive superatomic matrix satisfies the following relation: ， in, J DR It is a forward two-layer cascaded superatomic matrix. J RR The Jones matrix for the first simulated superatom. The Jones matrix for the second simulated superatom. The phase modulation amount for the horizontal polarization of the first simulated superatom. This represents the phase modulation amount for the vertical polarization of the first simulated superatom. The rotation angle of the first simulated superatom. The rotation angle of the second simulated superatom. The phase modulation amount for the horizontal polarization of the second simulated superatom. This represents the phase modulation amount of the vertical polarization of the second simulated superatom.
3. The superpixel design method based on cascaded superatoms according to claim 1, characterized in that, The positive superpixel matrix satisfies the following relationship: ， in, J total For the positive superpixel matrix, N 2 This represents the number of superatoms in a superpixel. i For the selected number i One superatom, J DR,i For the selected number i A forward superatomic matrix of superatoms. N It is a positive integer not less than 2.
4. The superpixel design method based on cascaded superatoms according to claim 1, characterized in that, The inverse superatomic matrix satisfies the following relation: ， in, J DR,1 The inverse superatom matrix of the first selected superatom. J DR,2 This is the inverse superatomic matrix of the second superatom. J DR,3 This is the inverse superatomic matrix of the third superatom. J DR,4 This is the inverse superatomic matrix of the 4th superatom. and The design parameters for the inverse superatom matrix of the first selected superatom. and The design parameters for the inverse superatom matrix of the selected second superatom. and The design parameters for the inverse superatom matrix of the selected third superatom. and The design parameters are for the inverse superatom matrix of the selected fourth superatom.
5. The superpixel design method based on cascaded superatoms according to any one of claims 1 to 4, characterized in that, The superpixel comprises several bilayer cascaded superatoms.
6. A superpixel design system based on cascaded superatoms, characterized in that, include: The simulation module is used to determine the Jones matrix of the simulated superatom according to the preset superatom simulation method; The forward calculation module is used to perform forward calculation on the Jones matrix of the simulated superatoms according to a preset superpixel design forward algorithm, and determine the forward superatom matrix and the forward superpixel matrix; the forward superatom matrix is the Jones matrix of the cascaded superatoms obtained by forward calculation, and the forward superpixel matrix is the Jones matrix of the superpixel obtained by forward calculation; the superpixel includes a plurality of the cascaded superatoms; The spatial superpixel matrix determination module is used to determine the spatial superpixel matrix according to the preset hyperplane design requirements; the spatial superpixel matrix is a Jones matrix of superpixels based on spatial positional relationships. The reverse calculation module is used to perform reverse calculation on the spatial superpixel matrix according to the preset superpixel design reverse algorithm to obtain the reverse superatomic matrix; the reverse superatomic matrix is the Jones matrix of cascaded superatoms obtained by reverse calculation; The verification module is used to determine the design parameters of the superpixel based on the forward superatomic matrix and the reverse superatomic matrix, provided that the verification conditions are met. The verification condition is that the calculation results of the forward superpixel matrix and the reverse superatomic matrix are consistent with the spatial superpixel matrix.
7. A superpixel based on cascaded superatoms, characterized in that, The superpixel design method based on cascaded superatoms as described in any one of claims 1 to 5 is used.
8. A metasurface based on cascaded superatoms, characterized in that, Including the superpixel based on cascaded superatoms as described in claim 7.
9. An electronic device comprising a memory, a processor, and a computer program stored in the memory and running on the processor, characterized in that, When the processor executes the computer program, it implements the superpixel design method based on cascaded superatoms as described in any one of claims 1 to 5.
10. 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 superpixel design method based on cascaded superatoms as described in any one of claims 1 to 5.