Four-frequency four-polarization multiplexing reflective array antenna design method

Abstract

The invention relates to a four-frequency four-polarization multiplexing reflective array antenna design method, and the method comprises the steps: carrying out the ingenious design of a four-frequency four-polarization multiplexing metasurface unit and an array plane, and enabling the metasurface unit to comprise a unit which is formed in a cross dipole form and is used for a dual-linear polarization wave beam, and a unit which is formed in a rose line form and is used for a dual-circular polarization wave beam; the formed array plane has the characteristic of quadrupole decoupling compared with a pen-shaped wave beam generated by a traditional same-aperture reflective array, the defect that four polarizations in a traditional multi-frequency reflective array antenna cannot be decoupled is overcome, the designed antenna can generate pen-shaped wave beams with different polarizations in four different frequency bands, the wave beam direction can be regulated and controlled at will, and the antenna has a wide application prospect. The method has a great application prospect in the field of wireless communication.

Description

Technical Field

[0001] This application relates to the field of antenna design, specifically to a design method for a four-band, four-polarization multiplexed reflective array antenna. Background Technology

[0002] With the rapid development of wireless communication technology, the requirements for system transmission capacity, spectrum utilization and communication quality are constantly increasing. Multi-frequency and multi-polarization multiplexing technology has been proven to be an effective way to improve channel capacity and spectrum efficiency, and has therefore received widespread attention in the fields of radio frequency, microwave and antenna, becoming one of the current research hotspots. At present, in the design and research of reflector array antennas, the academic and engineering communities mainly focus on the following aspects: (1) Research on multi-frequency operating characteristics: By realizing multi-frequency operation on the same array surface, the size and cost of the antenna system can be effectively reduced, and the communication needs of multiple standards and multiple services can be met. However, traditional multi-frequency reflector arrays usually have problems such as limited frequency spacing and high design complexity. (2) Research on multi-polarization multiplexing technology: Polarization multiplexing can transmit independent signals through different polarization channels in the same frequency band, thereby improving the channel capacity and anti-interference capability of the system. At present, the mainstream research is mostly focused on dual-polarization or dual-circular polarization multiplexing, and it is still difficult to achieve efficient coupling of multi-frequency and multi-polarization at the same time. (3) High-performance reflective array structure design: Reflective array antennas combine the high gain characteristics of traditional reflective surface antennas with the flexible beam control capability of phased array antennas, showing significant advantages in millimeter-wave and terahertz communications. However, existing designs generally suffer from problems such as complex unit structure, severe electromagnetic coupling, and insufficient design freedom under multi-frequency and multi-polarization conditions, which limit their application in broadband high-capacity communication systems.

[0003] In summary, existing reflective array antenna design methods still have many shortcomings in terms of multi-frequency multiplexing, polarization multiplexing, and structural simplification, making it difficult to simultaneously meet the requirements of high channel capacity, high spectral efficiency, and high isolation. Therefore, this paper proposes a four-frequency, four-polarization multiplexed reflective array antenna design method, which can achieve independent control and efficient multiplexing of multiple frequencies and polarizations on a limited array surface. This method has significant theoretical and engineering application value for improving the overall performance of wireless communication systems. Summary of the Invention

[0004] The purpose of this invention is to provide a design method for a four-band, four-polarization multiplexed reflective array antenna. Through ingenious design of the antenna elements and array surface, the resulting array surface exhibits four-polarization decoupling characteristics compared to the pencil beam generated by a traditional same-aperture reflective array, overcoming the drawback of the inability to decouple the four polarizations in traditional multi-band reflective array antennas. The designed antenna can generate pencil beams with different polarizations in four different frequency bands, and the beam direction can be arbitrarily adjusted, showing great promise for applications in the field of wireless communication.

[0005] To achieve the above objectives, the present invention provides a quad-band quad-polarization multiplexed reflective array antenna, comprising: a feed source and a plurality of quad-band quad-polarization multiplexed metasurface elements, wherein the plurality of quad-band quad-polarization multiplexed metasurface elements are arranged in a rectangular or circular periodic manner to form a reflective array of a rectangular aperture array or a circular aperture array; the feed source is a dual-linear polarization feed source and a dual-circular polarization feed source, which is placed in front of the reflective array in a positive feed manner; Each quad-frequency quad-polarization multiplexed metasurface unit includes an upper dielectric substrate, a lower dielectric substrate, and a metal base plate arranged sequentially from top to bottom. There are air layers between the upper and lower dielectric substrates, and between the lower dielectric substrate and the metal base plate. Metal patches are disposed on both the upper and lower surfaces of the upper dielectric substrate. The metal patches of the upper dielectric substrate include cross-dipole shaped patches and concentric square annular patches. Metal patches are disposed above the lower dielectric substrate. The metal patches of the lower dielectric substrate are rose-shaped patches with openings on both sides.

[0006] A further improvement is that the antenna operates in four frequency bands: 7.25-7.75GHz with a center frequency of 7.5GHz; 7.9-8.4GHz with a center frequency of 8.15GHz; 17.7-21.2GHz with a center frequency of 19GHz; and 27.5-31GHz with a center frequency of 29GHz.

[0007] A further improvement is that the feed source is a square pyramidal horn antenna and a circular pyramidal horn antenna, the feeding method is positive feed, and the polarization method is dual linear polarization and dual circular polarization.

[0008] A further improvement is that the focal diameter ratio of the reflective array of the rectangular or circular aperture array is set to 0.866, and the vertical distance between the feed phase center with dual circular polarization and the reflective array of the rectangular or circular aperture array is set to 257.2 mm.

[0009] This invention also provides a design method for a four-band, four-polarization multiplexed reflective array antenna, comprising the following steps: Obtain the specific parameters of the frequency-selective surface unit; Obtain the unit phase required for each cross dipole metasurface unit to generate a horizontally polarized beam, and the unit phase required for each cross dipole metasurface unit to generate a vertically polarized beam; based on the phase required for the two linearly polarized beams and the correspondence between the phase of each cross dipole metasurface unit and the length of each side, determine the length of each side of each cross dipole metasurface unit to form a dual-frequency dual-linearly polarized multiplexed reflector array antenna. The process involves obtaining the unit phase required for each rosette metasurface unit to generate a left-hand circularly polarized beam and the unit phase required for each rosette metasurface unit to generate a right-hand circularly polarized beam; determining the rotation angle of the rosette metasurface unit to achieve geometric phase control and the dynamic phase compensation of the rosette metasurface unit based on the phases required for the two circularly polarized beams; determining the specific values ​​of each parameter of the metal patch in the rosette metasurface unit based on the dynamic phase compensation of the rosette metasurface unit and the correspondence between the dynamic phase compensation and each parameter; the metal patch being a rosette frame with openings on both sides; rotating each metasurface reflector unit counterclockwise by the rotation angle; and forming a dual-frequency dual-circularly polarized multiplexed reflector array antenna. Frequency-selective surface units, cross-dipole metasurface units, and roseline metasurface units are combined to form a four-frequency four-polarization multiplexed metasurface unit. All four-band four-polarization multiplexed metasurface elements are arranged in a rectangular or circular periodic pattern to form a rectangular or circular aperture array of reflective arrays. Dual-circular polarization feed sources and dual-linear polarization feed sources are placed in front of the reflective array in a positive feed manner, ultimately forming a four-band four-polarization multiplexed reflective array antenna.

[0010] A further improvement is that the length of the two sides of each cross dipole metasurface unit is determined according to the phase required for different polarizations of the cross dipole metasurface unit.

[0011] A further improvement is that the specific shape and parameters of the frequency selective surface unit are determined based on the frequencies of the reflected and transmitted waves.

[0012] A further improvement lies in that the rosette metasurface unit determines the rotation angle of each rosette metasurface unit to achieve geometric phase control based on the phase of two rosette metasurface units, and the dynamic phase compensation of the rosette metasurface unit includes: Construct the following relation: , , in, For dynamic phase compensation of metasurface reflective units, The rotation angle; Indicates the same polarization reflection phase of left-hand circular polarization, including and ; The same polarization reflection phase representing right-hand circular polarization includes and ; This represents the left-hand circularly polarized co-polarized reflection phase of the downlink band center frequency. The same polarization reflection phase with right-hand circular polarization representing the center frequency of the uplink band. The co-polarized reflection phase, representing the left-hand circular polarization of the uplink frequency band center frequency, The right-hand circularly polarized co-polarized reflection phase represents the center frequency of the downlink band. The rotation angle is obtained by solving the relationship based on the phases of the two units. Dynamic phase compensation of metasurface reflective units .

[0013] Compared with the prior art, the present invention has the following beneficial effects: The quad-band quad-polarized multiplexed reflective array antenna design method of the present invention uses only two dielectric substrates, which has the advantages of low profile, small size and light weight. It can adopt mature PCB manufacturing process, which greatly reduces the processing cost and facilitates engineering implementation.

[0014] 2. The quad-band, quad-polarization multiplexed reflective array antenna of this invention, through the design of its elements and array surface, achieves a quad-polarization multiplexing characteristic compared to the high-gain beam generated by traditional same-aperture reflective arrays, thus overcoming the drawback of the inability to decouple the four polarizations in traditional multi-band reflective array antennas. The designed antenna can generate pencil beams with different polarizations in four different frequency bands, and the beam direction can be arbitrarily adjusted, overcoming the limitation of insufficient spectrum resources in traditional wireless communication. Attached Figure Description

[0015] Figure 1 A flowchart of the design method for a four-band, four-polarization multiplexed reflective array antenna of the present invention is shown. Figure 2 A schematic diagram of the four-frequency four-polarization multiplexed metasurface unit of the present invention is shown, wherein (a) is a side view of the four-frequency four-polarization multiplexed metasurface unit, (b) is a 3-D view of the four-frequency four-polarization multiplexed metasurface unit, (c) is a structural diagram of the cross dipole metasurface unit of the upper dielectric substrate, (d) is a structural diagram of the frequency selective surface unit of the upper dielectric substrate, and (e) is a structural diagram of the rosette metasurface unit of the lower dielectric substrate. Figure 3 The simulation results of the dynamic phase of the cross-dipole metasurface unit of the present invention are shown; wherein, (a) is the relationship between the horizontal polarization co-polarization phase and the horizontal microstrip line length when the vertical microstrip line length is 2.8 mm, and (b) is the relationship between the vertical polarization co-polarization phase and the vertical microstrip line length when the horizontal microstrip line length is 3.8 mm. Figure 4 The planar structure of the unit cell corresponding to different dynamic phases of the rose-shaped metasurface unit cell of the present invention is shown; Figure 5A schematic diagram of the dynamic phase simulation results of the rose-shaped metasurface unit of the present invention is shown; wherein, (a) is the same polarization reflection amplitude, (b) is the cross polarization reflection amplitude, (c) is the left-hand circularly polarized same polarization reflection phase, and (d) is the right-hand circularly polarized same polarization reflection phase. Figure 6 This diagram shows a comparison of the same polarization phase at the center frequency of the two frequency bands in which the circular polarization of this invention operates; Figure 7 A schematic diagram of the geometric phase simulation results of each element of the rose-shaped metasurface unit of the present invention is shown; Figure 8 The following is a simulation diagram of the quad-band quad-polarized multiplexed reflective array antenna of the present invention, wherein (a) is a structural diagram of a dual-band dual-linear polarization multiplexed reflective array antenna, (b) is a structural diagram of a frequency selective surface, (c) is a structural diagram of a dual-band dual-circular polarization multiplexed reflective array antenna, and (d) is a simulation overall structural diagram of the quad-band quad-polarized multiplexed reflective array antenna. Figure 9 The following diagram shows the gain patterns of the linearly polarized two frequency bands of the present invention. (a) shows the gain patterns at 18.3 GHz, 19 GHz and 21.2 GHz when the incident wave is x-polarized, and (b) shows the gain patterns at 27.5 GHz, 29 GHz and 31 GHz when the incident wave is y-polarized. Figure 10 The gain patterns of the circular polarization simulation at two frequency points of the present invention are shown, wherein (a) is the gain pattern at the 7.5 GHz frequency point of the left-hand circular polarization input, and (b) is the gain pattern at the 8.15 GHz frequency point of the right-hand circular polarization input. Figure 11 The gain and axial ratio frequency response diagrams of the dual-frequency dual-circular polarization multiplexed reflective array antenna of the present invention are shown. Detailed Implementation

[0016] This invention provides a quad-band quad-polarization multiplexed reflective array antenna, comprising: a feed source and multiple quad-band quad-polarization multiplexed metasurface elements, wherein the multiple quad-band quad-polarization multiplexed metasurface elements are arranged in a rectangular or circular periodic manner to form a reflective array of a rectangular aperture array or a circular aperture array; the feed source is a dual-linear polarization feed source and a dual-circular polarization feed source, which is placed in front of the reflective array in a positive feed manner; Each quad-frequency quad-polarization multiplexed metasurface unit includes an upper dielectric substrate, a lower dielectric substrate, and a metal base plate arranged sequentially from top to bottom. There are air layers between the upper and lower dielectric substrates, and between the lower dielectric substrate and the metal base plate. Metal patches are disposed on both the upper and lower surfaces of the upper dielectric substrate. The metal patches of the upper dielectric substrate include cross-dipole shaped patches and concentric square annular patches. Metal patches are disposed above the lower dielectric substrate. The metal patches of the lower dielectric substrate are rose-shaped patches with openings on both sides.

[0017] In one embodiment, see Figure 2 In (a) and (b), the four-frequency four-polarization multiplexed metasurface unit includes an upper dielectric substrate, a lower dielectric substrate, and a metal substrate. There are air layers between the upper dielectric substrate and the lower dielectric substrate, and between the lower dielectric substrate and the metal substrate. Metal patches are provided on both the upper and lower surfaces of the upper dielectric substrate, and a metal patch is provided on the top of the upper dielectric substrate.

[0018] Specifically, the thicknesses of the two air layers are h3=4mm and h4=2.5mm, respectively. The fixed parameters of the metasurface reflective unit are: the side length of the dielectric substrate is d=5.5mm, and the thicknesses of the upper and lower dielectric substrates are h1=1mm and h2=1.5mm, respectively.

[0019] Specifically, the antenna operates in four frequency bands: 7.25-7.75GHz with a center frequency of 7.5GHz; 7.9-8.4GHz with a center frequency of 8.15GHz; 17.7-21.2GHz with a center frequency of 19GHz; and 27.5-31GHz with a center frequency of 29GHz.

[0020] Specifically, the feed source is a square cone horn antenna and a circular cone horn antenna, the feeding method is positive feed, and the polarization method is dual linear polarization and dual circular polarization.

[0021] Specifically, to ensure the radiation efficiency of the reflector array, the illumination level of the feed at the edge of the array needs to be reduced by 10-15dB. Therefore, the focal diameter ratio of the four-frequency four-polarization multiplexed reflector array is set to 0.866, that is, the vertical distance between the phase center of the dual-circular polarization feed and the dual-linear polarization feed and the reflector array is set to 257.2mm.

[0022] This invention also provides a design method for a four-band, four-polarization multiplexed reflective array antenna. Figure 1 A flowchart illustrating the design methodology for a four-band, four-polarization multiplexed reflective array antenna is shown. (See attached diagram.) Figure 1 It mainly includes the following steps: Step S1: Obtain the specific parameters of the frequency-selective surface unit. Figure 2 (c) is a top view of the frequency-selective surface element.

[0023] Step S2: Obtain the unit phase required for each cross-dipole metasurface unit to generate the horizontally polarized beam, and the unit phase required for each cross-dipole metasurface unit to generate the vertically polarized beam. Figure 2 (d) is a top view of the cross-dipole metasurface unit.

[0024] Step S3: Determine the length of each side of each cross-dipole metasurface unit based on the phase required by the two cross-dipole metasurface units and the correspondence between the phase of each cross-dipole metasurface unit and the length of each side. Figure 3 The diagram shows the relationship between the phase of different polarizations of the cross-dipole metasurface unit and its microstrip line length. (a) shows the relationship between the horizontally polarized co-polarization phase and the horizontal microstrip line length when the vertical microstrip line length is 2.8 mm; (b) shows the relationship between the vertically polarized co-polarization phase and the vertical microstrip line length when the horizontal microstrip line length is 3.8 mm. Table 1 shows the correspondence between the phase of the cross-dipole metasurface unit and the length of each side. It should be noted that the phase change of the cross-dipole metasurface unit is discrete, that is, a 3-bit encoding method is used, and the phase from 0° to 360° is divided into 45° intervals, for a total of 8 states.

[0025] Table 1. Correspondence between the phase of the cross-dipole metasurface unit cell and the length of each side. Step S4: Obtain the unit phase required for each rosette metasurface unit to generate a left-handed circularly polarized beam, and the unit phase required for each rosette metasurface unit to generate a right-handed circularly polarized beam. Figure 2 (e) is a top view of the rose-shaped metasurface unit.

[0026] Step S5: Determine the rotation angle for geometric phase control and the dynamic phase compensation of each rose-shaped metasurface unit based on the phase of the two rose-shaped metasurface units.

[0027] Step S6: Based on the dynamic phase compensation of the rose-line metasurface unit and the correspondence between the dynamic phase compensation of the rose-line metasurface unit and each parameter, determine the specific values ​​of each parameter of the metal patch in the rose-line metasurface unit.

[0028] include: Construct the following relation: , , in, For dynamic phase compensation of metasurface reflective units, The rotation angle; Indicates the same polarization reflection phase of left-hand circular polarization, including and ; The same polarization reflection phase representing right-hand circular polarization includes and ; This represents the left-hand circularly polarized co-polarized reflection phase of the downlink band center frequency. The same polarization reflection phase with right-hand circular polarization representing the center frequency of the uplink band. The co-polarized reflection phase, representing the left-hand circular polarization of the uplink frequency band center frequency, The right-hand circularly polarized co-polarized reflection phase represents the center frequency of the downlink band. The rotation angle is obtained by solving the relationship based on the phases of the two units. Dynamic phase compensation of metasurface reflective units .

[0029] Table 2 shows the correspondence between the dynamic phase compensation of the rosette metasurface unit and different parameters. It should be noted that the dynamic phase of the rosette metasurface unit is discretely variable; here, the dynamic phase of 360° is represented discretely. Starting from 0°, the dynamic phase of 360° is obtained by incrementing in 10° increments. The 0-170° range can be divided into 18 units for state 1, and the 18° range into 18 units for state 2. The 18 units for state 1 are represented as No.1-No.18 in Table 1, and the 18 units for state 2 are represented as No.19-No.36 in Table 1. The intervals between No.1-No.18 and No.19-No.36 are simply due to a 90° rotation of the unit; all parameters of these units are identical. Because unit rotation does not change its dynamic phase characteristics, for simplicity, the following analysis of the dynamic phase will only focus on the characteristics of the 18 units No.1-No.18 in state 1.

[0030] The specific values ​​of each parameter of the roseline metasurface unit can be obtained by looking up Table 2 based on the dynamic phase compensation (DP / °) of the roseline metasurface unit.

[0031] Figure 4 The diagram shows the planar structure of the unit cell corresponding to different dynamic phases of the rose-linear metasurface unit, specifically a schematic diagram of the 36 states of the rose-linear metasurface unit.

[0032] Table 2 Dynamic phase compensation of rose-shaped metasurface units Figure 5 A schematic diagram of the dynamic phase simulation results for the rose-shaped metasurface unit is shown. Figure 5 In the table, (a) represents the same polarization reflection amplitude, (b) represents the cross-polarization reflection amplitude, (c) represents the left-hand circularly polarized same polarization reflection phase, and (d) represents the right-hand circularly polarized same polarization reflection phase.

[0033] Figure 6The diagram shows a phase comparison of co-polarization at the center frequency of two frequency bands for circular polarization operation, specifically a phase comparison of the 18 rose-shaped metasurface units in state 1 at 7.5 GHz and 8.15 GHz.

[0034] Figure 7 A schematic diagram of the simulation results of the geometric phase of each element of the rose-shaped metasurface is shown.

[0035] Step S7: Rotate each super-roseline metasurface unit counterclockwise by the rotation angle.

[0036] In step S8, all frequency-selectable surface elements, cross dipole metasurface elements, and rose-shaped metasurface elements are arranged in a rectangular or circular periodic pattern to form a four-frequency four-polarization multiplexed reflective array with a rectangular or circular aperture array. A dual-linear polarization feed and a dual-circular polarization feed are placed in front of the reflective array in a positive feed manner to finally form a four-frequency four-polarization multiplexed reflective array antenna. Figure 8 (a) is a structural diagram of a dual-frequency dual-linear polarization multiplexed reflector antenna, (b) is a structural diagram of a frequency selective surface, (c) is a structural diagram of a dual-frequency dual-circular polarization multiplexed reflector antenna, and (d) is a simulation diagram of a quad-frequency quad-polarization multiplexed reflector antenna.

[0037] Here, 2916 cross-dipole metasurface elements, 2916 frequency-selective metasurface elements, and 2916 rose-shaped metasurface elements are set, for a total of 8748 elements, with an array aperture D=297mm.

[0038] To further verify the effectiveness of the design method of this invention, the following experiments were conducted.

[0039] In this invention, the array size is selected as 297mm×297mm, and the focal diameter ratio is 0.866. Modeling and simulation are performed using MATLAB in conjunction with full-wave simulation software.

[0040] Figure 9 The far-field gain patterns of two linearly polarized antennas are shown. Figure 9 (a) shows the gain pattern at 18.3 GHz, 19 GHz and 21.2 GHz when the incident wave is x-polarized, and (b) shows the gain pattern at 27.5 GHz, 29 GHz and 31 GHz when the incident wave is y-polarized.

[0041] Figure 10 The far-field gain patterns of two circularly polarized antennas are shown. Figure 10 (a) shows the gain pattern of a left-hand circularly polarized input at 7.5 GHz, and (b) shows the gain pattern of a right-hand circularly polarized input at 8.15 GHz. Figure 11 The gain and axial ratio frequency response diagrams of the dual-frequency dual-circular polarization multiplexed reflective array antenna of the present invention are shown.

[0042] Figures 9 to 11 Experimental results show that an array composed of four-frequency, four-polarization multiplexed metasurface units can generate four beams with different polarizations in four frequency bands, and each beam can be independently controlled. This achieves the generation of pencil beams with different polarizations in four different frequency bands, and the beam direction can be arbitrarily adjusted.

[0043] The above descriptions are merely various embodiments of this application, but the scope of protection of this application is not limited thereto. Any variations or substitutions that can be easily conceived by those skilled in the art within the scope of the technology disclosed in this application should be included within the scope of protection of this application. Therefore, the scope of protection of this application should be determined by the scope of the claims.

Claims

1. A four-band, four-polarization multiplexed reflector array antenna, comprising: The feed source and multiple quad-frequency quad-polarization multiplexed metasurface units are characterized in that the multiple quad-frequency quad-polarization multiplexed metasurface units are arranged in a rectangular or circular periodic pattern to form a rectangular aperture array or a circular aperture array of a reflective array; the feed source is a dual-linear polarization feed source and a dual-circular polarization feed source, which are placed in front of the reflective array in a positive feed manner. Each quad-frequency quad-polarization multiplexed metasurface unit includes an upper dielectric substrate, a lower dielectric substrate, and a metal base plate arranged sequentially from top to bottom. There are air layers between the upper and lower dielectric substrates, and between the lower dielectric substrate and the metal base plate. Metal patches are disposed on both the upper and lower surfaces of the upper dielectric substrate. The metal patches of the upper dielectric substrate include cross-dipole shaped patches and concentric square annular patches. Metal patches are disposed above the lower dielectric substrate. The metal patches of the lower dielectric substrate are rose-shaped patches with openings on both sides.

2. The quad-band quad-polarized multiplexed reflector array antenna according to claim 1, characterized in that, The antenna operates in four frequency bands: 7.25-7.75GHz with a center frequency of 7.5GHz; 7.9-8.4GHz with a center frequency of 8.15GHz; 17.7-21.2GHz with a center frequency of 19GHz; and 27.5-31GHz with a center frequency of 29GHz.

3. The quad-band quad-polarized multiplexed reflector array antenna according to claim 1, characterized in that, The feed source is a square cone horn antenna and a circular cone horn antenna, with positive feeding and dual linear polarization and dual circular polarization.

4. A four-band four-polarization multiplexed reflector array antenna according to claim 3, characterized in that, The focal diameter ratio of the reflective array of the rectangular or circular aperture array is set to 0.866, and the vertical distance between the feed phase center with dual circular polarization and the reflective array of the rectangular or circular aperture array is set to 257.2 mm.

5. A design method for a four-frequency, four-polarization multiplexed reflective array antenna according to any one of claims 1 to 4, characterized in that, Includes the following steps: Obtain the specific parameters of the frequency-selective surface unit; Obtain the unit phase required for each cross dipole metasurface unit to generate a horizontally polarized beam, and the unit phase required for each cross dipole metasurface unit to generate a vertically polarized beam; based on the phase required for the two linearly polarized beams and the correspondence between the phase of each cross dipole metasurface unit and the length of each side, determine the length of each side of each cross dipole metasurface unit to form a dual-frequency dual-linearly polarized multiplexed reflector array antenna. The process involves obtaining the unit phase required for each rosette metasurface unit to generate a left-hand circularly polarized beam and the unit phase required for each rosette metasurface unit to generate a right-hand circularly polarized beam; determining the rotation angle of the rosette metasurface unit to achieve geometric phase control and the dynamic phase compensation of the rosette metasurface unit based on the phases required for the two circularly polarized beams; determining the specific values ​​of each parameter of the metal patch in the rosette metasurface unit based on the dynamic phase compensation of the rosette metasurface unit and the correspondence between the dynamic phase compensation and each parameter; the metal patch being a rosette frame with openings on both sides; rotating each metasurface reflector unit counterclockwise by the rotation angle; and forming a dual-frequency dual-circularly polarized multiplexed reflector array antenna. Frequency-selective surface units, cross-dipole metasurface units, and rose-line metasurface units are combined to form a four-frequency four-polarization multiplexed metasurface unit. All four-band four-polarization multiplexed metasurface elements are arranged in a rectangular or circular periodic pattern to form a rectangular or circular aperture array of reflective arrays. Dual-circular polarization feed sources and dual-linear polarization feed sources are placed in front of the reflective array in a positive feed manner, ultimately forming a four-band four-polarization multiplexed reflective array antenna.

6. The design method of a four-frequency four-polarization multiplexed reflective array antenna according to claim 5, characterized in that, The dual-frequency dual-line polarization multiplexed reflective array antenna determines the length of the two sides of each cross-dipole metasurface element based on the phase required for different polarizations of the cross-dipole metasurface element.

7. The design method of a four-frequency four-polarization multiplexed reflective array antenna according to claim 5, characterized in that, The specific shape and parameters of the frequency selective surface unit are determined based on the frequencies of the reflected and transmitted waves.

8. The design method of a four-frequency four-polarization multiplexed reflective array antenna according to claim 5, characterized in that, The rose-line metasurface unit is determined by the rotation angle of each rose-line metasurface unit to achieve geometric phase control based on the phase of two rose-line metasurface units, and the dynamic phase compensation of the rose-line metasurface unit includes: Construct the following relation: ， ， in, For dynamic phase compensation of metasurface reflective units, The rotation angle; The same polarization reflection phase representing left-hand circular polarization includes and ; The same polarization reflection phase representing right-hand circular polarization includes and ; This represents the left-hand circularly polarized co-polarized reflection phase of the downlink band center frequency. The same polarization reflection phase with right-hand circular polarization representing the center frequency of the uplink band. The co-polarized reflection phase, representing the left-hand circular polarization of the uplink frequency band center frequency, The right-hand circularly polarized co-polarized reflection phase represents the center frequency of the downlink band. The rotation angle is obtained by solving the relationship based on the phases of the two units. Dynamic phase compensation of metasurface reflective units .

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