DUAL-MODE ORBITAL ANGULAR MOMENTUM (OAM) BASE CELL ARRAY AND METASURFACE PREPARATION METHOD
20230231315 · 2023-07-20
Inventors
Cpc classification
H01Q15/0086
ELECTRICITY
H01Q1/50
ELECTRICITY
International classification
H01Q15/00
ELECTRICITY
Abstract
The present disclosure provides a dual-mode orbital angular momentum (OAM) convergence base cell array and metasurface preparation method. The base cell array includes 2.sup.n(2.sup.n-1) anisotropic cell structures and 2.sup.n isotropic cell structures. Each of the anisotropic cell structures includes a bottom ground layer, a dielectric substrate layer and a top pattern layer which are disposed in sequence from bottom to top, where each top pattern layer has an axisymmetric H-shaped structure. Each of the isotropic cell structures includes a bottom ground layer, a dielectric substrate layer and a top pattern layer which are disposed in sequence from bottom to top, where each top pattern layer has a square structure.
Claims
1. A dual-mode orbital angular momentum (OAM) convergence base cell array, wherein the base cell array comprises 2.sup.n(2.sup.n-1) anisotropic cell structures and 2.sup.n isotropic cell structures; and the base cell array has an array structure of 2.sup.n×2.sup.n, n denoting a bit number; each of the anisotropic cell structures comprises a bottom ground layer, a dielectric substrate layer and a top pattern layer which are disposed in sequence from bottom to top, the top pattern layer of the anisotropic cell structure having an axisymmetric H-shaped structure; and each of the isotropic cell structures comprises a bottom ground layer, a dielectric substrate layer and a top pattern layer which are disposed in sequence from bottom to top, the top pattern layer of the isotropic cell structure having a square structure.
2. The dual-mode OAM convergence base cell array according to claim 1, wherein different anisotropic cell structures have different H-shaped structure parameters.
3. The dual-mode OAM convergence base cell array according to claim 1, wherein the bottom ground layer and the top pattern layer in each of the anisotropic cell structures and the bottom ground layer and the top pattern layer in each of the isotropic cell structures are all made of metal materials, and the dielectric substrate layer in each of the anisotropic cell structures and the dielectric substrate layer in each of the isotropic cell structures are both made of a material with a dielectric constant of 2.65.
4. The dual-mode OAM convergence base cell array according to claim 1, wherein the bottom ground layer and the dielectric substrate layer in each of the anisotropic cell structures have a same cycle length, and the bottom ground layer and the dielectric substrate layer in each of the isotropic cell structures have a same cycle length.
5. A dual-mode OAM convergence metasurface preparation method, comprising: determining, by optimization, optimal parameters corresponding to various bit states of each of 2.sup.n(2.sup.n-1) anisotropic cell structures in two polarization directions based on a phase requirement of OAM for the anisotropic cell structures, wherein n denotes a bit number; constructing the 2.sup.n(2.sup.n-1) anisotropic cell structures according to the optimal parameters corresponding to various bit states of the 2.sup.n(2.sup.n-1) anisotropic cell structures in two polarization directions; determining, by optimization, optimal parameters corresponding to 2.sup.n isotropic cell structures based on a phase requirement of OAM for the isotropic cell structures; constructing the 2.sup.n isotropic cell structures according to the optimal parameters corresponding to the 2.sup.n isotropic cell structures; constructing, based on the 2.sup.n(2.sup.n-1) anisotropic cell structures and the 2.sup.n isotropic cell structures, the base cell array according to claim 1; deriving a compensation phase of each base cell array of convergent vortex beams from free-space Helmholtz equation; and constructing, based on the compensation phase of each of the base cell arrays, an OAM convergence metasurface carrying different topological charges by MATLAB.
6. The dual-mode OAM convergence metasurface preparation method according to claim 5, wherein different anisotropic cell structures have different H-shaped structure parameters.
7. The dual-mode OAM convergence metasurface preparation method according to claim 5, wherein the bottom ground layer and the top pattern layer in each of the anisotropic cell structures and the bottom ground layer and the top pattern layer in each of the isotropic cell structures are all made of metal materials, and the dielectric substrate layer in each of the anisotropic cell structures and the dielectric substrate layer in each of the isotropic cell structures are both made of a material with a dielectric constant of 2.65.
8. The dual-mode OAM convergence metasurface preparation method according to claim 5, wherein the bottom ground layer and the dielectric substrate layer in each of the anisotropic cell structures have a same cycle length, and the bottom ground layer and the dielectric substrate layer in each of the isotropic cell structures have a same cycle length.
9. The dual-mode OAM convergence metasurface preparation method according to claim 5, wherein the determining, by optimization, optimal parameters corresponding to various bit states of each of 2.sup.n(2.sup.n-1) anisotropic cell structures in two polarization directions based on a phase requirement of OAM for the anisotropic cell structures specifically comprises: conducting, by three-dimensional electromagnetic field simulation software CST, rough simulation on each of the anisotropic cell structures in two polarization directions to obtain a first rough phase value; conducting fine-tuning based on the first rough phase value until a first precise phase value is reached; and taking dimension parameters corresponding to the first precise phase value as optimal parameters of the anisotropic cell structure.
10. The dual-mode OAM convergence metasurface preparation method according to claim 6, wherein the determining, by optimization, optimal parameters corresponding to various bit states of each of 2.sup.n(2.sup.n-1) anisotropic cell structures in two polarization directions based on a phase requirement of OAM for the anisotropic cell structures specifically comprises: conducting, by three-dimensional electromagnetic field simulation software CST, rough simulation on each of the anisotropic cell structures in two polarization directions to obtain a first rough phase value; conducting fine-tuning based on the first rough phase value until a first precise phase value is reached; and taking dimension parameters corresponding to the first precise phase value as optimal parameters of the anisotropic cell structure.
11. The dual-mode OAM convergence metasurface preparation method according to claim 7, wherein the determining, by optimization, optimal parameters corresponding to various bit states of each of 2.sup.n(2.sup.n-1) anisotropic cell structures in two polarization directions based on a phase requirement of OAM for the anisotropic cell structures specifically comprises: conducting, by three-dimensional electromagnetic field simulation software CST, rough simulation on each of the anisotropic cell structures in two polarization directions to obtain a first rough phase value; conducting fine-tuning based on the first rough phase value until a first precise phase value is reached; and taking dimension parameters corresponding to the first precise phase value as optimal parameters of the anisotropic cell structure.
12. The dual-mode OAM convergence metasurface preparation method according to claim 8, wherein the determining, by optimization, optimal parameters corresponding to various bit states of each of 2.sup.n(2.sup.n-1) anisotropic cell structures in two polarization directions based on a phase requirement of OAM for the anisotropic cell structures specifically comprises: conducting, by three-dimensional electromagnetic field simulation software CST, rough simulation on each of the anisotropic cell structures in two polarization directions to obtain a first rough phase value; conducting fine-tuning based on the first rough phase value until a first precise phase value is reached; and taking dimension parameters corresponding to the first precise phase value as optimal parameters of the anisotropic cell structure.
13. The dual-mode OAM convergence metasurface preparation method according to claim 5, wherein the determining, by optimization, optimal parameters corresponding to each of 2.sup.n isotropic cell structures based on a phase requirement of OAM for the isotropic cell structures specifically comprises: conducting, by three-dimensional electromagnetic field simulation software CST, rough simulation on each of the isotropic cell structures to obtain a second rough phase value; conducting fine-tuning based on the second rough phase value until a second precise phase value is reached; and taking dimension parameters corresponding to the second precise phase value as optimal parameters of each of the isotropic cell structures.
14. The dual-mode OAM convergence metasurface preparation method according to claim 6, wherein the determining, by optimization, optimal parameters corresponding to each of 2.sup.n isotropic cell structures based on a phase requirement of OAM for the isotropic cell structures specifically comprises: conducting, by three-dimensional electromagnetic field simulation software CST, rough simulation on each of the isotropic cell structures to obtain a second rough phase value; conducting fine-tuning based on the second rough phase value until a second precise phase value is reached; and taking dimension parameters corresponding to the second precise phase value as optimal parameters of each of the isotropic cell structures.
15. The dual-mode OAM convergence metasurface preparation method according to claim 7, wherein the determining, by optimization, optimal parameters corresponding to each of 2.sup.n isotropic cell structures based on a phase requirement of OAM for the isotropic cell structures specifically comprises: conducting, by three-dimensional electromagnetic field simulation software CST, rough simulation on each of the isotropic cell structures to obtain a second rough phase value; conducting fine-tuning based on the second rough phase value until a second precise phase value is reached; and taking dimension parameters corresponding to the second precise phase value as optimal parameters of each of the isotropic cell structures.
16. The dual-mode OAM convergence metasurface preparation method according to claim 8, wherein the determining, by optimization, optimal parameters corresponding to each of 2.sup.n isotropic cell structures based on a phase requirement of OAM for the isotropic cell structures specifically comprises: conducting, by three-dimensional electromagnetic field simulation software CST, rough simulation on each of the isotropic cell structures to obtain a second rough phase value; conducting fine-tuning based on the second rough phase value until a second precise phase value is reached; and taking dimension parameters corresponding to the second precise phase value as optimal parameters of each of the isotropic cell structures.
17. The dual-mode OAM convergence metasurface preparation method according to claim 9, wherein the conducting fine-tuning based on the first rough phase value until a first precise phase value is reached is conducted according to the following formula:
18. The dual-mode OAM convergence metasurface preparation method according to claim 9, wherein the deriving a compensation phase of each base cell array of convergent vortex beams from free-space Helmholtz equation is conducted according to the following formula:
Description
BRIEF DESCRIPTION OF THE DRAWINGS
[0034] To describe the embodiments of the present disclosure or the technical solutions in the related art more clearly, the accompanying drawings required in the embodiments are briefly introduced below. Obviously, the accompanying drawings described below are only some embodiments of the present disclosure. A person of ordinary skill in the art may further obtain other accompanying drawings based on these accompanying drawings without creative labor.
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REFERENCE NUMERALS
[0044] 1. anisotropic cell structure, 2. isotropic cell structure, 3. bottom ground layer, 4. dielectric substrate layer, and 5. top pattern layer.
DETAILED DESCRIPTION OF THE EMBODIMENTS
[0045] The technical solutions in the embodiments of the present disclosure will be described below clearly and completely with reference to the accompanying drawings in the embodiments of the present disclosure. Apparently, the described embodiments are merely some rather than all of the embodiments of the present disclosure. All other embodiments obtained by a person of ordinary skill in the art based on the embodiments of the present disclosure without creative efforts shall fall within the protection scope of the present disclosure.
[0046] The present disclosure aims to provide a dual-mode OAM base cell array and metasurface preparation method, so as to achieve dual-mode polarization regulation.
[0047] To make the above-mentioned objective, features, and advantages of the present disclosure clearer and more comprehensible, the present disclosure will be further described in detail below in conjunction with the accompanying drawings and specific embodiments.
Embodiment 1
[0048] The present disclosure provides a dual-mode OAM convergence base cell array, wherethe base cell array includes 2.sup.n(2.sup.n-1) anisotropic cell structures 1 and 2.sup.n isotropic cell structures 2; and the base cell array has an array structure of 2.sup.n×2.sup.n, n denoting a bit number. Each of the anisotropic cell structures 1 includes a bottom ground layer 3, a dielectric substrate layer 4 and a top pattern layer 5 which are disposed in sequence from bottom to top, where each top pattern layer 5 has an axisymmetric H-shaped structure. Each of the isotropic cell structures 2 includes a bottom ground layer 3, a dielectric substrate layer 4 and a top pattern layer 5 which are disposed in sequence from bottom to top, where each top pattern layer 5 has a square structure. According to the present disclosure, different anisotropic cell structures 1 have different H-shaped structure parameters. The bottom ground layer 3 and the top pattern layer 5 in each of the anisotropic cell structures 1 and the bottom ground layer 3 and the top pattern layer 5 in each of the isotropic cell structures 2 are all made of metal materials; the bottom ground layer 3 and the dielectric substrate layer 4 in each of the anisotropic cell structures 1 have a same cycle length, and the bottom ground layer 3 and the dielectric substrate layer 4 in each of the isotropic cell structures 2 have a same cycle length; and the dielectric substrate layer in each of the isotropic cell structures 2 and the dielectric substrate layer in each of the anisotropic cell structures 1 are both made of a low-loss material with a dielectric constant of 2.65.
[0049] In the present disclosure, n=3 is taken as an example for analysis. As shown in
[0050]
[0051] Due to the non-centrosymmetry of anisotropic cell structures 1, there is a difference in two kinds of reflection phases under x and y polarization. Therefore, for the dielectric substrate layer of the anisotropic cell structure 1 designed in the present disclosure, F4B is selected, with a dielectric constant of 2.65, loss of 0.001, thickness d of merely 0.6 mm which is 3.2% of the operating wavelength, and a cycle p=6 mm. The bottom ground layer 3 and H-shaped metal structures are made of copper patches with a conductivity of 5.96×10.sup.7Sm.sup.-1, and the thickness t is usually set to 0.018 mm.
[0052]
Embodiment 2
[0053] The present disclosure provides a dual-mode OAM convergence metasurface preparation method, including the following steps:
[0054] S1: determine, by optimization, optimal parameters corresponding to various bit states of each of 2.sup.n(2.sup.n-1) anisotropic cell structures in two polarization directions based on a phase requirement of OAM for the anisotropic cell structures, where n denotes a bit number.
[0055] S1 specifically includes:
[0056] S11: conducting, by three-dimensional electromagnetic field simulation software CST, rough simulation on each of the anisotropic cell structures in two polarization directions to obtain a first rough phase value.
[0057] S12: conducting fine-tuning based on the first rough phase value until a first precise phase value is reached, where the specific formula is as follows:
where .sup.ϕith denotes the first rough phase value, and
denotes the first precise phase value.
[0058] When
is 0, the corresponding state is “000”, when
is 45°, the corresponding state is “001”, when
is 90°, the corresponding state is “010”, and similarly, when
is 315°, the corresponding state is “111”.
[0059] The base cell array coded by 1 bit of information corresponds to 2 kinds of coding states under x or y polarization, so the whole interval is equidistantly divided into 2 intervals. The base cell array coded by 2 bits of information corresponds to 4 kinds of coding states under x or y polarization, so the whole interval is equidistantly divided into 4 intervals; the base cell array coded by 3 bits of information corresponds to 8 kinds of coding states under x or y polarization, so the whole interval is equidistantly divided into 8 intervals. The base cell array coded by 4 bits of information corresponds to 16 kinds of coding states under x or y polarization, so the whole interval is equidistantly divided into 16 intervals; and so on.
[0060] S13: taking dimension parameters corresponding to the first precise phase value as optimal parameters of the anisotropic cell structure. In this embodiment, dimension parameters corresponding to the first precise phase value include parameters w1, w2, h1 and h2, as shown in
[0061] S2: construct the 2.sup.n(2.sup.n-1) anisotropic cell structures according to the optimal parameters corresponding to various bit states of the 2.sup.n(2.sup.n-1) anisotropic cell structures in two polarization directions. In this embodiment, different anisotropic cell structures have different optimal parameters.
[0062] S3: determine, by optimization, optimal parameters corresponding to 2.sup.n cell structures based on a phase requirement of OAM for the isotropic cell structures, which specifically includes: [0063] S31: conducting, by three-dimensional electromagnetic field simulation software CST, rough simulation on each of the isotropic cell structures to obtain a second rough phase value. [0064] S32: conducting fine-tuning based on the second rough phase value until a second precise phase value is reached; and [0065] S33: taking dimension parameters corresponding to the second precise phase value as optimal parameters of each of the isotropic cell structures; where dimension parameters corresponding to the second precise phase value include parameters x and y, and x is equal to y, as shown in
[0066] As shown in
[0067] S4: construct 2.sup.n isotropic cell structures according to the optimal parameters corresponding to the 2.sup.n isotropic cell structures.
[0068] S5: construct, based on the 2.sup.n (2.sup.n -1) anisotropic cell structures and the 2.sup.n isotropic cell structures, the base cell array.
[0069] S6: derive a compensation phase φ□ of each of the base cell arrays of convergent vortex beams from free-space Helmholtz equation, where the specific formula is as follows:
where λ denotes wavelength in free space, L denotes topological charges of OAM, and can take any integer, F denotes focal length, namely the distance from a point source to a central point of a metasurface unit, and x and y denote position coordinates corresponding to a coding array, respectively. In addition,
denotes input phase, and L.Math.arctan (y / x) denotes output phase.
[0070] In actual scenarios, to ensure the effect of producing near-field OAM vortex waves, a point source is usually used as an excitation source of a metasurface unit, so the distance from the point source to the central point of the metasurface unit is F=k*D; where k denotes a scale factor with a value range of 0.6-1, which usually takes the median value of 0.8, and D denotes the unilateral physical length of the base cell array, with a value of 246 mm.
[0071] S7: construct, based on the compensation phase of each of the base cell arrays, an OAM convergence metasurface carrying different topological charges by MATLAB, as shown in
[0072] In the present disclosure, the excitation source can be set as a horn or a waveguide, and anisotropic cell structures and isotropic cell structures are adopted to construct a dual-mode OAM base cell array using CST simulation software. It should be noted that the manual construction of the required array will take a lot of time and energy, and it is impossible to ensure a zero error probability. Therefore, MATLAB and CST can be adopted for joint simulation modeling, so as to ensure the accuracy of modeling.
[0073] In the present disclosure, an OAM convergence metasurface antenna capable of carrying topological charges of 1 and 2 at the same time is designed. The antenna has a high gain (21.7 dBi at 16 GH Mode 1 and 20.8 dBi at 16 GH Mode 2) and a small divergence angle (6.5° at 16 GH Mode 1 and 10.6° at 16 GH Mode 2), where Mode 1 and Mode 2 correspond to the topological charges carried by the dual-function OAM antenna, respectively. It should be noted that the structure is simple in fabrication process and low in material cost, which makes it possible to achieve large-scale standardized production, and thus the ultra-thin OAM convergence metasurface with high efficiency and simple structure can be realized.
Embodiment 3
[0074] In this embodiment, an anisotropic cell structure is mainly divided into three layers, namely the bottom ground layer, the dielectric substrate layer and the top pattern layer; where the bottom ground layer and the dielectric substrate layer each have a cycle length of 6 mm, and the thickness of the dielectric substrate layer is only 0.6 mm, which is 3.2% of the operating wavelength; both the bottom ground layer and the top pattern layer are made of copper with a conductivity of 5.96×10.sup.7Sm.sup.-1, the dielectric substrate layer is made of F4B with a dielectric constant of 2.65 and a loss of 0.001, and the overall size of the structure is 246 mm × 246 mm (13.12λ.sub.0 × 13.12λ.sub.0 ).
[0075] Step 1: according to the basic principle of geometrical optics, reflect and refract electromagnetic waves at an interface of two kinds of materials, so an anisotropic cell structure with anisotropy can be designed according to the response of a metasurface to phases of electromagnetic waves under different kinds of polarization; and model, simulate and optimize the anisotropic cell structure by CST. In the process of optimization, w1, w2, h1, and h2 in
TABLE-US-00001 Dimension parameters of anisotropic cell structures (unit: mm) W1 h2 h1 w2 x---phase y---phase 000-000 0 6 6 6 0° 0° 000-001 1 3 5.5 5.98 0° 45° 000-010 1 3 5.19 5.98 0° 90° 000-011 1 3 4.98 5.98 0° 135° 000-100 1.2 3 4.92 5.98 0° 180° 000-101 1.2 3 4.73 5.98 0° 225° 000-110 1.2 3 4.53 5.98 0° 270° 000-111 1.15 3 3.8 5.98 0° 315° 001-001 0 5.45 5.45 5.45 45° 45° 001-010 1.5 2.5 5.51 3.96 45° 90° 001-011 1.5 2.5 5.37 4.02 45° 135° 001-100 1.52 2.48 5.27 4.05 45° 180° 001-101 1.52 2.48 5.14 4.13 45° 225° 001-110 1.52 2.48 4.9 4.28 45° 270° 001-111 1.52 2.48 4.08 4.82 45° 315° 010-010 0 5.13 5.13 5.13 90° 90° 010-011 1.6 2.56 5.43 3.83 90° 135° 010-100 1.63 2.62 5.32 3.93 90° 180° 010-101 1.63 2.62 5.21 4 90° 225° 010-110 1.63 2.62 4.97 4.13 90° 270° 010-111 1.61 2.62 4.15 4.62 90° 315° 011-011 0 4.97 4.97 4.97 135° 135° 011-100 1.63 2.56 5.35 3.77 135° 180° 011-101 1.59 2.61 5.22 3.89 135° 225° 011-110 1.57 2.6 4.98 4.01 135° 270° 011-111 1.57 2.6 4.25 4.43 135° 315° 100-100 0 4.86 4.86 4.86 180° 180° 100-101 1.68 2.51 5.3 3.68 180° 225° 100-110 1.64 2.53 5.05 3.83 180° 270° 100-111 1.67 2.53 4.28 4.26 180° 315° 101-101 0 4.74 4.74 4.74 225° 225° 101-110 1.55 2.48 5.05 3.72 225° 270° 101-111 1.53 2.48 4.27 4.16 225° 315° 110-110 0 4.54 4.54 4.54 270° 270° 110-111 1.55 2.5 4.32 3.98 270° 315° 111-111 0 3.97 3.97 3.97 315° 315°
[0076] Step 2: achieve the phase requirement of dual-function OAM based on the relevant theories of electromagnetic waves, and independently control the phase distribution of vortexes in x and y polarization directions to achieve a polarization-regulated dual-mode OAM convergence metasurface. In this case, the central operating frequency is 16 GHz, a waveguide or horn can be selected as a feed source, and the distance from the phase center of the feed source to the center of the metasurface is set to be 246 mm. Afterwards, based on the basic principle of generating OAM vortex beams and the phase compensation formula required for spherical waves equivalent plane waves, a required vortex phase distribution diagram is obtained by coding and drawing by MATLAB.
[0077] Step 3: according to the vortex phase distribution diagram solved by MATLAB in Step 2, construct a polarization-regulated dual-mode OAM convergence metasurface. In the present disclosure, MATLAB and CST are adopted for joint simulation modeling, and a model established is shown in
[0078] Each embodiment of the present specification is described in a progressive manner, each embodiment focuses on the difference from other embodiments, and the same and similar parts between the embodiments may refer to each other.
[0079] In this specification, some specific embodiments are used for illustration of the principles and implementations of the present disclosure. The description of the foregoing embodiments is used to help illustrate the method of the present disclosure and the core ideas thereof. In addition, persons of ordinary skill in the art can make various modifications in terms of specific implementations and the scope of application in accordance with the ideas of the present disclosure. In conclusion, the content of the present description shall not be construed as limitations to the present disclosure.