A high-order mode vortex electromagnetic wave generation structure based on a super surface

By optimizing the metasurface cell structure and phase compensation method, the mode number and purity of high-mode vortex electromagnetic waves are improved, solving the problem of low mode number and realizing efficient information transmission and beam control, which is suitable for wireless communication, radar and imaging.

CN119315279BActive Publication Date: 2026-05-08NANJING UNIV OF AERONAUTICS & ASTRONAUTICS
View PDF 1 Cites 0 Cited by

Patent Information

Authority / Receiving Office
CN · China
Patent Type
Patents(China)
Current Assignee / Owner
NANJING UNIV OF AERONAUTICS & ASTRONAUTICS
Filing Date
2024-10-15
Publication Date
2026-05-08

AI Technical Summary

Technical Problem

Existing metasurfaces generate vortex electromagnetic waves with a low number of modes, and the radiation efficiency and mode purity of high-mode vortex waves are insufficient, making it difficult to meet the needs of complex wireless communication environments.

Method used

A high-mode vortex electromagnetic wave generation structure based on metasurfaces is designed. By optimizing the cell structure and phase compensation method, and using a combination of multi-layer plate structure and different polarization units (square split ring and cross intersecting unit), the generation and independent control of high-mode-number vortex electromagnetic waves can be realized.

Benefits of technology

It improves the mode number and mode purity of vortex electromagnetic waves, enhances the sidelobe suppression between the radiation peak and the energy zero point, is suitable for high-capacity information transmission in wireless communication, and shows application prospects in radar and imaging fields.

✦ Generated by Eureka AI based on patent content.

Smart Images

  • Figure CN119315279B_ABST
    Figure CN119315279B_ABST
Patent Text Reader

Abstract

The application discloses a high-order vortex electromagnetic wave generation structure based on a metasurface, and relates to the technical field of wireless communication. The high-order vortex electromagnetic wave generation structure comprises a metasurface, and the metasurface comprises a plurality of cell structures, each of which comprises a multilayer plate structure, the multilayer plate structure comprising a metal patch layer as a first layer, a dielectric material layer as a second layer, a metal patch layer as a third layer, a dielectric material layer as a fourth layer and a metal ground layer as a fifth layer; the metal patch layer of the first layer comprises a square split-ring unit, and the metal patch layer of the third layer comprises a cross unit. The high-order vortex wave beam can be flexibly adjusted through the metasurface and the like, multi-directional and multi-angle beam control is realized, and the high-order vortex wave beam is suitable for complex wireless communication environments. In addition to wireless communication, generation and manipulation of the high-order vortex wave also have great application prospects in the fields of radars and imaging, and can improve the resolution and detection capability of a system.
Need to check novelty before this filing date? Find Prior Art

Description

Technical Field

[0001] This invention belongs to the field of artificial electromagnetic materials technology, and in particular relates to a high-order mode vortex electromagnetic wave generation structure based on metasurface. Background Technology

[0002] With the rapid advancements in wireless communication technology, traditional channel capacity enhancement techniques face significant challenges. In the microwave and millimeter-wave bands, earlier methods for generating vortex waves, such as helical phase plates and circular antenna arrays, suffer from substantial limitations in fabrication processes and operating bandwidth. In recent years, metasurface structures have been used to generate vortex waves, demonstrating remarkable application potential due to their ability to modulate electromagnetic wave fronts and their low-profile structure. However, the generation of high-order OAM vortex waves using metasurfaces remains a relatively unexplored area. Research on multifunctional vortex waves based on metasurfaces has largely focused on generating dual-polarized vortex waves.

[0003] Generating high-mode OAM vortex waves using metasurfaces introduces unwanted sidelobes between the two radiation peaks. Furthermore, the radiation efficiency and mode purity of high-mode OAM vortex waves decrease. Therefore, it is necessary to find a structural combination and spatial allocation method to design a metasurface that facilitates the generation of high-order mode vortex electromagnetic waves while enabling free and independent phase control of multiple polarized electromagnetic waves within a single unit aperture.

[0004] Existing patent CN115173071A provides a vortex wave generation structure and design method based on a multifunctional shared aperture metasurface. It cleverly combines structural combination and spatial allocation methods to design a single-layer shared aperture multipolarized multi-band reflective metasurface, thereby realizing independent phase control of different polarized reflected waves working in different broadband bands. However, the number of modes of the generated vortex wave beam is relatively low. Summary of the Invention

[0005] The purpose of this invention is to solve the problem of the low mode number of current metasurface-based generation of vortex electromagnetic waves.

[0006] To achieve the above objectives, the present invention provides a high-order mode vortex electromagnetic wave generation structure based on a metasurface. The high-order mode vortex electromagnetic wave generation structure includes a metasurface, which includes multiple cellular structures. Each cell contains a multi-layer plate structure. The first layer of the multi-layer plate structure is a metal patch layer, the second layer is a dielectric material layer, the third layer is a metal patch layer, the fourth layer is a dielectric material layer, and the fifth layer is a metal ground layer.

[0007] The first layer of metal patch includes a square split-ring unit for generating circularly polarized vortex electromagnetic waves;

[0008] The dielectric material for the second and fourth layers is F4B, with a phase permittivity of... The value is 2.65, and the tangent loss angle is 0.0009.

[0009] The third layer of metal patch includes cross-shaped units for generating linearly polarized vortex electromagnetic waves under linear polarization conditions.

[0010] Furthermore, the unit period of the cell = =10 mm, the thickness of the second dielectric material layer is h=1 mm, and the thickness of the fourth dielectric material layer is h=2 mm.

[0011] The design method for higher-order mode vortex electromagnetic waves on metasurfaces comprises the following steps:

[0012] S1. Construct cell parameters. Based on the requirements of the reflected vortex wave on the cell amplitude and phase, the rotation angle and slot width of the slotted strip of the square split ring unit in the cell structure are used as optimization variables to optimize the size parameters of the square split ring unit structure. The slotted strip after rotation α opens a slot with a width of g on the square resonant ring, thus forming a square split ring. The rotation angle is taken from 0° to 180° in 5° intervals. Different rotation angles correspond to the slot width required for the fixed resonant frequency point, resulting in a total of 37 basic states.

[0013] The four basic states of the cross-shaped unit are used to construct four cell patterns based on the parameters of these four states, which are as follows:

[0014] ;

[0015]

[0016]

[0017]

[0018] in The length of the horizontal metal strip is the arm length. The width of the horizontal metal strip. The length of the vertical metal strip is the arm length. The width of the metal strip in the vertical direction;

[0019] S2. Derive the electric field expression for a vortex wave propagating along the electromagnetic wave propagation direction based on the Helmholtz equations for free space:

[0020]

[0021] in, It is the imaginary unit. The azimuth angle is in cylindrical coordinates. For longitudinal wavenumber, The amplitude of the beam. The height is in cylindrical coordinates. This is the radial distance in cylindrical coordinates; This represents the number of topologies, i.e., the number of OAM modes.

[0022] The theoretical phase distribution of the vortex wave carrying OAM in the transverse plane is as follows: ,in Let be a topological number. Angular coordinates The imaginary unit is used; at the coordinate position is The vortex phase required to be introduced into the metasurface cell at that location is:

[0023]

[0024] Since both the incident vertical and horizontal polarizations are spherical waves, phase compensation for the spherical waves is required at different cell positions. The relative position of the selected feed's phase center in space with respect to the metasurface center is: The coordinates on the hypersurface are The relative positions of the cells are The distance from the feed phase center to each cell is... At coordinate position The feed compensation phase required to be introduced into the metasurface cell at the given location is:

[0025]

[0026] Where k is the wave number in vacuum at the center frequency. The wavelength corresponds to the center frequency.

[0027] Then, for each cell of the metasurface, the metasurface compensation phase required for complete linear polarization is:

[0028]

[0029] In the formula, It is a topological number.

[0030] S3. Using metasurfaces to compensate for phase in MATLAB The metasurface distribution in computational theory is used, with cross-shaped elements arranged using 2-bit encoding and square cracked rings arranged using PB phase-rotated elements. Simulation modeling is performed using CST full-wave simulation software. Full-wave numerical simulation is used to scan the parameter variables of the cells in step S1 to calculate the complex reflection coefficients of the elements under different parameters, according to the compensated phase... The parameter value corresponding to each cell is found in the parameter scan results to obtain the parameter setting value of that cell;

[0031] S4. Based on the parameter settings of each cell in the metasurface array obtained from MATLAB, model the metasurface array using CST software.

[0032] Beneficial effects:

[0033] This application optimizes the design of the metasurface unit structure to maintain high OAM mode purity in the generated high-mode-number vortex electromagnetic waves, while keeping the SL0 of the sidelobes between the radiation peak and the energy zero point at a low value. High-mode-number vortex waves can carry more orbital angular momentum states, meaning that higher capacity information transmission can be achieved through vortex beams of different modes. High-mode-number vortex beams can be flexibly adjusted through structures such as metasurfaces to achieve multi-directional and multi-angle beam control, making them suitable for complex wireless communication environments. Besides wireless communication, the generation and manipulation of high-mode-number vortex waves also show great application potential in radar, imaging, and other fields, improving system resolution and detection capabilities. Attached Figure Description

[0034] Figure 1 This is a schematic diagram of the cellular overall structure of the metasurface of the high-order mode vortex electromagnetic wave provided by the present invention.

[0035] Figure 2 This is a top view of the first layer structure of the cellular unit of the metasurface for high-order mode vortex electromagnetic waves provided by the present invention.

[0036] Figure 3 This is a top view of the third layer structure of the metasurface cell of the high-order mode vortex electromagnetic wave provided by the present invention.

[0037] Figure 4 This is a top view of the fifth layer structure of the metasurface cell of the high-order mode vortex electromagnetic wave provided by the present invention.

[0038] Figure 5 This is a diagram showing the same polarization reflection coefficient and reflection phase performance of the cellular square split-ring unit provided by the present invention;

[0039] Figure 6 This is a diagram showing the same polarization reflection coefficient and reflection phase performance of the cellular square split-ring unit provided by the present invention;

[0040] Figure 7 This is a metasurface phase distribution diagram provided by the present invention;

[0041] Figure 8 This is the rotation angle of the phase-corresponding square split-ring unit provided by the present invention;

[0042] Figure 9 This invention provides the distribution of the four basic states of the X-polarized cross-shaped unit on the metasurface.

[0043] Figure 10 This invention provides the distribution of the four basic states of the Y-polarized cross-shaped unit on the metasurface.

[0044] Figure 11 This is a metasurface image of the PCB printed circuit board fabricated by the process provided in this invention;

[0045] Figure 12 This is a simulation diagram of the near-field electric field intensity provided by the present invention;

[0046] Figure 13 This is a simulation diagram of the near-field electric field phase distribution provided by the present invention;

[0047] Figure 14 This is the purity diagram of the model provided by the present invention. Detailed Implementation

[0048] To make the objectives, technical solutions, and advantages of this invention clearer, the invention will be further described in detail below with reference to embodiments. It should be understood that the specific embodiments described herein are merely illustrative and not intended to limit the invention.

[0049] The application principle of the present invention will be further described below with reference to the accompanying drawings and specific embodiments.

[0050] Example 1:

[0051] like Figures 1-4 As shown, a high-order mode vortex electromagnetic wave generation structure based on a metasurface is disclosed. The high-order mode vortex electromagnetic wave generation structure includes a metasurface, which comprises multiple cellular structures. Each cell contains multiple plate-like structures, wherein the first layer of the multiple plate-like structures is a metal patch layer, the second layer is a dielectric material layer, the third layer is a metal patch layer, the fourth layer is a dielectric material layer, and the fifth layer is a metal ground layer. The layers of the multiple plate-like structures are stacked sequentially.

[0052] The first layer of the cell is a metal patch layer, which includes a square split-ring unit, wherein... The outer side length parameter of the square crack ring is 6.139. denoted by , where is the inner side length parameter of the square cracked ring, with a value of 5.404, and g is the crack width of the square cracked ring, with a value of 0.2. The square cracked ring element is used to generate circularly polarized vortex electromagnetic waves, hence it is also called a circularly polarized element.

[0053] The dielectric material for the second and fourth layers of the cell is F4B (polytetrafluoroethylene glass fiber cloth ceramic thin film substrate), and its phase dielectric constant is... The tangent loss angle is 0.0009, and the first, third, and fifth metal plates of the cell are all made of copper.

[0054] The third layer of metal patch includes cross-shaped units, which are used to generate linearly polarized vortex electromagnetic waves under linear polarization conditions, and are therefore also called linearly polarized units.

[0055] This single-layer metasurface array antenna, used to generate vortex waves with high mode number and high mode purity, can produce vortex waves at an operating frequency of 12-18 GHz. CP vortex wave, XLP vortex waves, The YLP vortex wave. The array antenna is square in shape and consists of 30×30 cells.

[0056] Cell parameters (unit: millimeters): cell period = =10, the thickness of the second dielectric material layer is h=1, and the thickness of the fourth dielectric material layer is h=2.

[0057] A design method for higher-order mode vortex electromagnetic waves based on metasurfaces:

[0058] S1. Constructing the parameters of the cell structure: Based on the requirements of the reflected vortex wave on the amplitude and phase of the cell structure, the rotation angle and slot width of the slotted strip of the square split ring unit in the cell structure are optimized variables to optimize the size parameters of the square split ring unit structure. The slotted strip after rotation α opens a slot with a width of g on the square resonant ring, thus forming a square split ring. The rotation angle is taken from 0° to 180° in 5° intervals. Different rotation angles correspond to the slot width required for the fixed resonant frequency point, resulting in a total of 37 basic states, realizing the PB phase rotation unit angle arrangement. Angles (degrees) and their corresponding g values: Angle = 0°, g = 0.2000; Angle = 5°, g = 0.2008; Angle = 10°, g = 0.2031; Angle = 15°, g = 0.2071; Angle = 20°, g = 0.2128; Angle = 25°, g = 0.2207; Angle = 30°, g = 0.2309; Angle = 35°, g = 0.2442; Angle = 40°, g = 0.2611. Angle=45°, g=0.2828; Angle=50°, g=0.2611; Angle=55°, g=0.2442; Angle=60°, g=0.2309; Angle=65°, g=0.22 07; Angle=70°, g=0.2128; Angle=75°, g=0.2071; Angle=80°, g=0.2031; Angle=85°, g=0.2008; Angle=90°, g=0. 2000; angle=95°, g=0.2008; angle=100°, g=0.2031; angle=105°, g=0.2071; angle=110°, g=0.2128; angle=11 5°, g=0.2207; Angle=120°, g=0.2309; Angle=125°, g=0.2442; Angle=130°, g=0.2611; Angle=135°, g=0.282 8; Angle=140°, g=0.2611; Angle=145°, g=0.2442; Angle=150°, g=0.2309; Angle=155°, g=0.2207; Angle=160° , g=0.2128; angle=165°, g=0.2071; angle=170°, g=0.2031; angle=175°, g=0.2008; angle=180°, g=0.2000.

[0059] The PB phase is twice the cell rotation angle, which is the delay generated by the cell phase.

[0060] The four basic states of the cross-shaped unit are used to construct four cell patterns based on the parameters of these four states, which are as follows:

[0061]

[0062]

[0063]

[0064]

[0065] in The length of the horizontal metal strip is the arm length. The width of the horizontal metal strip. The length of the vertical metal strip is the arm length. This refers to the width of the metal strip in the vertical direction.

[0066] S2. Derive the electric field expression for a vortex wave propagating along the electromagnetic wave propagation direction based on the Helmholtz equations for free space:

[0067]

[0068] in, It is the number of OAM modes. The azimuth angle is in cylindrical coordinates. For longitudinal wavenumber, The complex amplitude of the beam. The height is in cylindrical coordinates. This is the radial distance in cylindrical coordinates. It is a topological number.

[0069] For the overall design of metasurfaces, the cells of the metasurface are considered as array elements, and the coordinates of the elements in the Cartesian coordinate system are assumed to be... The actual coordinates of the corresponding unit center point are ,in , , and All are element periods; therefore, the azimuth angle of the element relative to the origin. , The range is 0~2π. The azimuth formula can be used to determine the phase required for the position of a metasurface at any location. The metasurface in this design has 30×30 elements, corresponding to an actual size of 320mm×320mm.

[0070] The theoretical phase distribution of the vortex wave carrying OAM in the transverse plane is as follows: ,in Let be a topological number. Angular coordinates The imaginary unit. At the coordinate position... The vortex phase required to be introduced into the metasurface cell at that location is:

[0071]

[0072] Since both the incident vertical and horizontal polarizations are spherical waves, phase compensation for the spherical waves is required for cells at different locations. Assume the phase center of the selected feed source is located in space relative to the center point of the metasurface as follows: The coordinates on the hypersurface are The relative positions of the cells are The distance from the feed phase center to each cell is... At coordinate position The feed compensation phase required to be introduced into the metasurface cell at the given location is:

[0073]

[0074] in The wavenumber at the center frequency in a vacuum. The wavelength corresponds to the center frequency.

[0075] Then, for each cell of the metasurface, the metasurface compensation phase required for complete linear polarization is:

[0076]

[0077] S3. Using metasurfaces to compensate for phase in MATLAB The metasurface distribution was calculated theoretically, with the cross-shaped elements arranged using 2-bit encoding, and the square cracked rings arranged using PB phase-rotated elements. Simulation modeling was performed using CST full-wave simulation software. Full-wave numerical simulation was used to analyze several parameter variables of the cell structure in step S1 (slot width g of the square cracked ring element, rotation angle α of the slotted strip, and outer side length of the square cracked ring). The inner side length parameter of the square crack ring The length of the horizontal metal strip of the cross-shaped unit Width of the horizontal metal strip The length of the vertical metal strip arm Width of the vertical metal strip ) Perform parameter scanning to calculate the complex reflection coefficient of the element under different parameters, according to the compensated phase The parameter values ​​corresponding to each calculated cell are found in the parameter scan results to obtain the parameter setting value of that cell.

[0078] S4. Simulation was performed in CST microwave studio. The parameter settings for each cell in the metasurface array were obtained from MATLAB. The metasurface array was modeled in CST software. The simulation operating frequency band was set to 8–20 GHz, with the actual operating frequency band of the metasurface being 10–18 GHz under circularly polarized wave illumination and 14.5–15.5 GHz under linearly polarized wave illumination. Circularly polarized, X-polarized, or Y-polarized waves were selected as the field source for simulation calculations, with the field source set at a distance of 200 mm from the metasurface and incident normally. A sampling plane was set at a distance of 400 mm from the metasurface. The electric field intensity and phase distribution diagrams of the higher-order vortex electromagnetic waves generated after reflection from the metasurface were obtained on the sampling plane, verifying that the generated waves were indeed higher-order vortex electromagnetic waves.

[0079] Example 2:

[0080] To study the radiation properties of vortex electromagnetic wave reflecting metasurfaces, this application employs a half-wavelength (10 mm) cell, such as... Figures 1-4 As shown, this cell belongs to a symmetrical structure and exhibits multipolarity. The cell model consists of square split rings, and the combination of various elements helps to achieve a multi-resonance structure. This is beneficial for achieving 360° phase coverage.

[0081] Please refer to Figure 5 , Figure 6 The amplitude and phase curves of elements with specific periodic boundary conditions were analyzed using CST Microwave Studio simulation software. Within the electromagnetic wave range of 14.5–15.5 GHz, 2-bit encoded cross-shaped elements were used to realize linearly polarized vortex electromagnetic waves. Four basic states achieved a 360° phase coverage range, achieved by changing the phase angle between 3 mm and 6 mm. , The length of the square split-ring element is used to achieve this. The square split-ring element is simulated using CST simulation software. , After scanning the two parameters, the amplitude response curves and phase response curves were analyzed to obtain the optimal parameters for the cell, achieving a 360° phase range of 10–18 GHz. The phase curves are quite linear and parallel to each other, making it suitable for broadband operation. Therefore, this cellular structure can significantly improve the operating bandwidth of vortex electromagnetic waves.

[0082] Example 3:

[0083] The formula for calculating the phase required to generate each element on the vortex electromagnetic wave reflecting metasurface in a specified direction is as follows:

[0084]

[0085] in express Phase compensation required for each unit express The azimuth angle corresponding to each unit. The position vector of the feed irradiating the metasurface (the distance from the center of the metasurface to the center of the feed). For the first The position vector of the unit (from the center of the metasurface to the first unit) (distance of each unit) The wavelength corresponding to the center frequency. It is a topological number.

[0086] like Figure 7 Metasurfaces are used to generate The phase delay distribution corresponding to the mode vortex electromagnetic wave.

[0087] Example 4:

[0088] It is convenient to analyze the incident and scattered fields of the cell on the metasurface using the Jones matrix, and the scattered and incident fields can be related by the reflection coefficients in the Jones matrix.

[0089]

[0090]

[0091]

[0092]

[0093] in, , , , These are the same polarization reflection coefficients under the conditions of x-polarization, y-polarization, left-hand circular polarization, and right-hand circular polarization normal incidence, respectively. , , , It is the corresponding cross-polarization reflection coefficient. It is the cell rotation angle. It is the imaginary unit. It is clear from the formula that only the co-polarized reflection coefficient... and An ±2α phase, or PB phase, is added. The positive and negative signs indicate that the PB phase is the conjugate phase with the RCP and LCP components. and The inherent symmetrical response between them. Therefore Figure 7 The phase value shown in the phase distribution diagram is half of the phase value. Figure 8 The rotation angle distribution diagram of the square split ring element.

[0094] The metasurface constructed from these cross-shaped units can generate X-polarized and Y-polarized vortex electromagnetic waves with 4 modes each. The phase interval between the four basic states is approximately 90°. Figure 7 The phase values ​​in the phase distribution diagram shown correspond to the size values ​​corresponding to the closest phase values ​​among the four basic states, which yields the following results. Figure 9 , Figure 10 The distribution of the four basic states of the cross-shaped unit under X polarization on the metasurface and the distribution of the four basic states of the cross-shaped unit under Y polarization on the metasurface.

[0095] Example 5:

[0096] like Figure 11 To verify the generation effect of high-modulus vortex electromagnetic waves, a full-wave simulation based on CST was performed on a 300mm×300mm metasurface. Half-wavelength cells were used to generate the high-modulus vortex electromagnetic waves on the reflective metasurface. The vortex electromagnetic wave of the mode is generated, and then the mode purity corresponding to the generated vortex electromagnetic wave is calculated by simulating the phase distribution. A 300mm×300mm sampling plane is set in the near-field region at a distance of 300mm from the metasurface to obtain the e-field phase distribution. Figure 12 , Figure 13 It can be seen that the amplitude diagram of the electric field is shaped like a donut, and the phase distribution diagram shows a typical spiral distribution with a phase distribution variation of 1800° (5×360°), which is a clear characteristic of OAM waves.

[0097] The purity of an OAM can be obtained by decomposing individual OAM modes using Fourier transform and then integrating them. (OAM spectrum) ) and sampling phase ( The relationship between )

[0098]

[0099]

[0100] in It is a function of the circular sampling field along the z-axis. It is the symbol for imaginary numbers. This is the kernel function for the Fourier transform.

[0101] The modal purity of OAMVB is calculated by normalizing the spectrum of each OAMVB mode to the total spectrum of all OAMVB modes, as shown in the following formula:

[0102]

[0103] in This represents the number of sampling modes, which we consider starting from... arrive OAM mode, such as Figure 14 As shown, The purity of the model is 65%.

Claims

1. A high-order mode vortex electromagnetic wave generation structure based on metasurface, characterized in that, The high-order mode vortex electromagnetic wave generating structure includes a metasurface, which includes multiple cellular structures. Each cell contains multiple plate-like structures. The first layer of the multiple plate-like structures is a metal patch layer, the second layer is a dielectric material layer, the third layer is a metal patch layer, the fourth layer is a dielectric material layer, and the fifth layer is a metal ground layer. The first layer of metal patch includes a square split-ring unit for generating circularly polarized vortex electromagnetic waves; The dielectric material for the second and fourth layers is F4B, with a phase permittivity of... The value is 2.65, and the tangent loss angle is 0.0009. The third metal patch layer includes cross-shaped units for generating linearly polarized vortex electromagnetic waves under linear polarization conditions. The design method of this structure includes the following steps: S1. Construct cell parameters. Based on the requirements of the reflected vortex wave on the cell amplitude and phase, the rotation angle and slot width of the slotted strip of the square split ring unit in the cell structure are used as optimization variables to optimize the size parameters of the square split ring unit structure. The slotted strip after rotation α opens a slot with a width of g on the square resonant ring, thus forming a square split ring. The rotation angle is taken from 0° to 180° in 5° intervals. Different rotation angles correspond to the slot width required for the fixed resonant frequency point, resulting in a total of 37 basic states. The four basic states of the cross-shaped unit are used to construct four cell patterns based on the parameters of these four states, which are as follows: ; ; ; ; in The length of the horizontal metal strip is the arm length. The width of the horizontal metal strip. The length of the vertical metal strip is the arm length. The width of the metal strip in the vertical direction; S2. Derive the electric field expression for a vortex wave propagating along the electromagnetic wave propagation direction based on the Helmholtz equations for free space: Where i is the imaginary unit, The azimuth angle is in cylindrical coordinates. For longitudinal wavenumber, The amplitude of the beam. The height is in cylindrical coordinates. This is the radial distance in cylindrical coordinates; This represents the number of topologies, i.e., the number of OAM modes. The theoretical phase distribution of the vortex wave carrying OAM in the transverse plane is as follows: ,in Let be a topological number. Let i be the angular coordinate, and i be the imaginary number; at the coordinate position... The vortex phase required to be introduced into the metasurface cell at that location is: Since both the incident vertical and horizontal polarizations are spherical waves, phase compensation for the spherical waves is required at different cell positions. The relative position of the selected feed's phase center in space with respect to the metasurface center is: The coordinates on the hypersurface are The relative positions of the cells are The distance from the feed phase center to each cell is... At coordinate position The feed compensation phase required to be introduced into the metasurface cell at the given location is: Where k is the wave number in vacuum at the center frequency. The wavelength corresponding to the center frequency; Then, for each cell of the metasurface, the metasurface compensation phase required for complete linear polarization is: S3. Using metasurfaces to compensate for phase in MATLAB The metasurface distribution was calculated theoretically, with cross-shaped elements arranged using 2-bit encoding and square cracked rings arranged using PB phase-rotated elements. Simulation modeling was performed using CST full-wave simulation software. The parameter variables of the cells in step S1 were scanned using full-wave numerical simulation, according to the compensated phase... The parameter value corresponding to each cell is found in the parameter scan results to obtain the parameter setting value of that cell; S4. Based on the parameter settings of each cell in the metasurface array obtained from MATLAB, model the metasurface array using CST software.

2. The high-order mode vortex electromagnetic wave generation structure based on metasurface according to claim 1, characterized in that, Cell unit periodicity = =10mm, the thickness of the second dielectric material layer is h=1mm, and the thickness of the fourth dielectric material layer is h=2mm.

Citation Information

Patent Citations

  • Small-divergence-angle vortex electromagnetic wave generator based on transmission metasurface

    CN117096616A