A splicable passive reflection array and a design method thereof

Abstract

This invention discloses a modular passive reflector array and its design method, mainly used for designing passive reflector arrays to meet blind spot requirements in different scenarios. The designed modular passive reflector array consists of an array of several planar reflector array elements, including two types of subarrays: "0" and "1". Based on the principle of average phase gradient, M... s A subarray of "0"s and N s The "1" subarrays are arranged in an orderly manner to form the smallest periodic row vector V in the reflection array. min By changing V min M s and N s The number of subarrays and their arrangement order determine beam reconfigurability; the minimum periodic row vector V... min By extending the array in both the elevation and azimuth planes, different aperture-capable passive reflector arrays can be spliced ​​together, achieving aperture reconfigurability. This invention, through constructing 1-bit coded subarrays and defining splicing rules, can simultaneously obtain the required aperture and beam pointing. It is applicable to blind spot filling needs in various scenarios, and the solution is simple to design and low in cost.

Description

Technical Field

[0001] This invention belongs to the field of antenna technology, specifically relating to a splicable passive reflective array and its design method. This method can be used to design passive reflective arrays for blind spot filling requirements in different scenarios. Background Technology

[0002] With the development of modern communications, the development of 5G millimeter wave technology is both certain and necessary. However, the disadvantages of 5G millimeter wave technology are also very obvious and widely recognized. The high frequency of millimeter waves leads to significant signal loss and susceptibility to obstruction. Furthermore, buildings vary in size and shape, and due to transmission and diffraction losses in the millimeter wave band, radio waves emitted by active base stations cannot cover the entire communication environment within a building, creating communication blind spots. Relying on macro base stations to cover indoor areas is too difficult. Currently, this problem is mostly solved by deploying active base stations or repeaters, but this not only increases costs but also involves a series of cumbersome installation issues. Therefore, how to minimize blind spots and increase indoor signal coverage without increasing costs is one of the urgent problems to be solved.

[0003] In their 2017 patent application for an "Indoor Millimeter Wave Signal Enhancement System," Lin Xianqi et al. used a receiving antenna, a low-noise amplification module, and a transmitting antenna to effectively amplify outdoor millimeter wave signals and transmit them to indoor wireless terminals, improving signal strength within buildings and enabling the indoor wireless terminals to function properly. However, this method only amplifies outdoor millimeter wave signals and has limited application scenarios. For example, in practical T-shaped or L-shaped corridor communication scenarios, communication blind spots remain unresolved.

[0004] Therefore, current millimeter-wave indoor coverage methods have limited applicability. Methods for filling coverage gaps in specific communication scenarios still need improvement. Summary of the Invention

[0005] The purpose of this invention is to address the shortcomings of the prior art by proposing a splicable passive reflective array and its design method, so as to simultaneously reconstruct the antenna aperture and beam direction without increasing the antenna cost.

[0006] To achieve the above objectives, the technical solution adopted by the present invention is as follows: On one hand, the present invention provides a design method for a splicable passive reflection array, comprising the following steps:

[0007] 1) Determine the beam reconstruction range θ0≤θ≤θ1 for the splicable passive reflector array;

[0008] 2) Based on the beam reconstruction range θ0≤θ≤θ1 of the splicable passive reflector array, two types of subarrays, "0" and "1", are designed. The first type of "0" subarray is an m0×n0 array composed of several planar reflector array elements, with the beam pointing to θ0. The second type of "1" subarray is an m1×n1 array composed of several planar reflector array elements, with the beam pointing to θ1.

[0009] 3) Select the beam pointing θ of the splicable passive reflector array required for the specific application scenario, and based on the principle of average phase gradient, set M... s A subarray of "0"s and N s The "1" subarrays are arranged in an orderly manner to form the smallest periodic row vector V in the reflection array. min M s and N s The integers greater than or equal to 0 are such that the minimum periodic row vector V min The main beam direction is θ;

[0010] 4) Based on the specific application scenario, use the minimum periodic row vector V min The array is expanded in both the elevation and azimuth planes to obtain the required size of the modular passive reflector array.

[0011] Furthermore, m0 mentioned in 2) is the number of planar reflection array elements in the azimuth plane of the "0" subarray within a 360° phase period, which is calculated using the following formula:

[0012]

[0013] Where d is the period of the planar reflection array element, P g0 It is the phase gradient, where k0 is the space wavenumber, θ0 is the desired beam pointing of the designed "0" subarray; the selection principle of m0 is: to select an integer value that allows the beam pointing to take the closest value to θ0.

[0014] The number n0 is the number of planar reflection array elements of the "0" subarray along the elevation plane, which is set according to the actual application scenario and processing conditions;

[0015] θ0 is the beam direction of the "0" subarray, which is obtained by substituting m0 into the following formula:

[0016]

[0017] Furthermore, m1 mentioned in 2) is the number of planar reflection array elements in the azimuth plane of the "1" subarray within a 360° phase period, which is calculated using the following formula:

[0018]

[0019] Where d is the period of the planar reflection array element, Pg1 It is the phase gradient, where k0 is the space wavenumber, θ1 is the desired beam pointing of the designed "1" subarray; the selection principle of m1 is: to select an integer value that allows the beam pointing to take the closest value to θ1.

[0020] The number n1 is the number of planar reflection array elements of the "1" subarray along the elevation plane, which is set according to the actual application scenario and processing conditions;

[0021] θ1 is the beam direction of the "1" subarray, which is obtained by substituting m1 into the following formula:

[0022]

[0023] Furthermore, M as described in 3) s and N s The following calculation is performed using the average phase gradient principle:

[0024] Assume M s A subarray of "0"s and N s The total phase shift of array V after splicing together the "1" subarrays is ψ. all :

[0025] ψ all =2π(M) s +N s )

[0026] The average phase gradient is defined as follows:

[0027]

[0028] Where m0 and m1 are the number of planar reflection array elements in the azimuth plane within the 360° phase period of the "0" subarray and the "1" subarray, respectively, and d is the period of the planar reflection array element. To make the beam of V point towards θ... i To approximate the target beam θ, the average phase gradient of V is required. Phase gradient P approximating the target beam θ gi ,Right now:

[0029]

[0030] ε can be made equivalent to ε′:

[0031]

[0032] If ε′ approaches 0, then the beam pointing of V approximates the target beam pointing θ. When ε′ is sufficiently small, there exists a solution M. s and N s Then kM must exist. s and kN s Take Ms +N s The minimum value is the final solution, M. s A subarray of "0"s and N s The "1" subarray can be arranged in various ways. The array pattern of each arrangement is calculated, and the arrangement with the smallest beam pointing error and the smallest sidelobes is selected as the minimum periodic row vector V. min .

[0033] Furthermore, the minimum periodic row vector V described in 4) min Extending to the azimuth and pitch planes as a unit refers to splicing together any number of minimum periodic row vectors V along the azimuth and pitch directions according to the actual application scenario. min This forms a reflection array:

[0034] On the other hand, the present invention provides a modular passive reflective array, which is designed by any of the above-described modular passive reflective array design methods.

[0035] Compared with the prior art, the present invention has the following advantages:

[0036] First, the present invention can be applied to the blind spot filling needs in different scenarios. Compared with the existing methods of setting up active base stations or building complex power supply network systems, the present invention can save costs and improve the coverage of millimeter wave signals in complex buildings.

[0037] Secondly, compared with the passive reflector arrays with fixed aperture and beam direction proposed in the prior art, the present invention has greater design flexibility and is easier to produce and promote.

[0038] Third, the modular passive reflector array of the present invention achieves beam reconfiguration and aperture reconfiguration by changing the splicing method of the "0" subarray and the "1" subarray. It does not require an additional power supply, avoids complex power supply network design, simplifies installation complexity, and reduces the difficulty of installation for workers. Attached Figure Description

[0039] Figure 1 This is a schematic diagram of the aperture reconfigurable (A) and beam reconfigurable (B) of the splicable passive reflector array of the present invention;

[0040] Figure 2 This is a flowchart illustrating the design of the modular passive reflector array of this invention.

[0041] Figure 3 This is a schematic diagram of the planar reflective array unit in the present invention, where A is a top view, B is a side view, and C is a perspective view;

[0042] Figure 4 This is a model diagram of a reflection array with an aperture of 100mm × 112mm and a reflected wave beam pointing at 41.7°.

[0043] Figure 5 The aperture is 40mm × 112mm, and the minimum periodic row vector is V. min =

[01] Reflection array structure diagram;

[0044] Figure 6 The radiation pattern of this invention when the beam pointing is 41.7° (theoretical calculation value and full-wave simulation value);

[0045] Figure 7 The radiation pattern of this invention when the beam pointing is 44.8° (theoretical calculation value and full-wave simulation value);

[0046] Figure 8 The radiation pattern of this invention when the beam pointing is 49.3° (theoretical calculation value and full-wave simulation value);

[0047] Figure 9 This is the radiation pattern (theoretical calculation value and full-wave simulation value) when the beam pointing of this invention is 56°;

[0048] Figure 10 This is the radiation pattern (theoretical calculation value and full-wave simulation value) when the beam pointing at 62° is the beam pattern of the present invention. Detailed Implementation

[0049] To better understand the content of this invention, the following detailed description is provided in conjunction with specific implementation methods. However, the scope of protection of this invention is not limited to the following embodiments.

[0050] This application discloses a design method for a stitchable passive reflector array, consisting of two subarrays with different phase gradients. Using the concept of a bit, 0 represents a uniform phase gradient subarray pointing towards the azimuth plane θ0, and 1 represents a uniform phase gradient subarray pointing towards the azimuth plane θ1. The phase variation range of each element in the subarray along the azimuth direction is exactly one phase period, meaning that each element remains the same along the elevation direction. A surface array is formed by combining several of these two types of subarrays. This surface array can be represented by a matrix [A] composed of 0 and 1 elements. A consists of Ne row vectors Va of length Na, where Va is an ordered combination of 0 and 1. Different Va values ​​can change the azimuth plane beam pointing of the surface array, thereby achieving the purpose of reconstructing the beam pointing. Different Ne×Na values ​​can change the aperture of the surface array within a certain range, thereby achieving the purpose of reconstructing the aperture.

[0051] The present invention will now be described in further detail with reference to the accompanying drawings and embodiments.

[0052] The design flowchart of this invention's modular passive reflector array is as follows: Figure 2 As shown, for Figure 2The flowchart shown can be explained in detail by the following steps. Determine the beam reconstruction range θ0≤θ≤θ1 for the stitchable passive reflector array.

[0053] 1) Constructing 1-bit encoded subarrays: Based on the beam reconstruction range θ0≤θ≤θ1 of the splicable passive reflector array, design two types of subarrays, "0" and "1". The first type of "0" subarray is an m0×n0 array composed of several planar reflector array elements, with the beam pointing to θ0; the second type of "1" subarray is an m1×n1 array composed of several planar reflector array elements, with the beam pointing to θ1.

[0054] 2) Define the splicing rules: Select the beam pointing θ of the splicable passive reflector array required for the specific application scenario, where θ satisfies the beam reconstruction range specified in 1) θ0≤θ≤θ1. Based on the average phase gradient principle, calculate the number M of "0" subarrays and "1" subarrays corresponding to the beam pointing θ. s With N s ;

[0055] 3) Reconstruct beam pointing function: M s A subarray of "0"s and N s The "1" subarrays are arranged in an orderly manner to form the smallest periodic row vector V in the reflection array. min M s and N s The integers greater than or equal to 0 are such that the minimum periodic row vector V min The main beam pointing is θ, and the reconstructed beam pointing diagram is shown below. Figure 1 As shown in (B);

[0056] 4) Reconstructing the caliber function: Based on the specific application scenario, using the minimum periodic row vector V min The array is expanded in both the elevation and azimuth planes to obtain the required size of the modular passive reflector array. A schematic diagram of the reconstructed aperture is shown below. Figure 1 As shown in (A).

[0057] The effectiveness of the average phase gradient principle in estimating beam pointing is verified below with reference to specific embodiments. This application uses a beam reconfiguration method applied to beams ranging from 40° to 60° as an example.

[0058] This invention provides a modular passive reflective array composed of multiple planar reflective array elements. A schematic diagram of the planar reflective array element structure used in the following embodiments is shown below. Figure 3As shown, each planar reflector array element consists of a dielectric substrate 1, a metal ground 2, and a Jerusalem patch 3, wherein the Jerusalem patch 3 is located on the dielectric substrate 1. The Jerusalem patch 3 comprises a Jerusalem cross 4, four peripheral parasitic oscillators 5, a non-extended portion 6 of the Jerusalem cross, and an extended arm 7 of the Jerusalem cross. The Jerusalem patch 3 is centrally symmetrical. The width of the Jerusalem cross 4 and the parasitic oscillators 5 is w, the distance between them is g, the length of the non-extended portion 6 of the Jerusalem cross is Lx = Ly, and the length of the extended arm 7 of the Jerusalem cross is Ly1 = (Ly + 2 * w) / k, where k is a scaling factor. The element period of the planar reflector array element is d.

[0059] The dielectric substrate 1 is made of a dielectric substrate with a dielectric constant of 2.2 and a loss tangent of 0.007.

[0060] Example 1: Design of a modular passive reflector array with a beam pointing of 41.7° required for a specific application scenario.

[0061] The design method for splicing passive reflection arrays in this embodiment includes the following steps:

[0062] Step 1: Determine the beam reconstruction range of the stitchable passive reflector array: 40°≤θ≤60°;

[0063] Step 2: Based on the beam reconstruction range of the splicable passive reflective array (40°≤θ≤60°), design two types of subarrays, "0" and "1".

[0064] 2.1) The first type of "0" subarray is an m0×n0 array composed of several planar reflection array elements, with a beam pointing at 40°. m0 is the number of planar reflection array elements in the azimuth plane of the "0" subarray within a 360° phase period, calculated using the following formula:

[0065]

[0066] Where d is the period of the planar reflection array element, P g0 It is the phase gradient, where k0 is the space wavenumber, θ0 is the desired beam pointing of the designed "0" subarray; the selection principle of m0 is: to select an integer value that allows the beam pointing to take the closest value to θ0.

[0067] m0 takes the integer value 4;

[0068] The number n0 is the number of planar reflection array elements of the "0" subarray along the elevation plane. It is set according to the actual application scenario and processing conditions. In this embodiment, it is set to 5, and the resulting "0" subarray is a 4*5 array. The beam pointing of the "0" subarray is 41.7° and the phase gradient is 22.5° / mm.

[0069] 2.2) The second type of "1" subarray is an m1×n1 array composed of several planar reflection array elements, with a beam pointing at 60°. m1 is the number of planar reflection array elements in the azimuth plane of the "1" subarray within a 360° phase period, calculated using the following formula:

[0070]

[0071] Where d is the period of the planar reflection array element, P g1 It is the phase gradient, where k0 is the space wavenumber, θ1 is the desired beam pointing of the designed "1" subarray; the selection principle of m1 is: to select an integer value that allows the beam pointing to take the closest value to θ1.

[0072] m1 takes the integer value 3;

[0073] The n1 is the number of planar reflection array elements of the "1" subarray along the elevation plane. It is set according to the actual application scenario and processing conditions. In this example, it is set to 5. The resulting "1" subarray is a 3*5 array. The beam pointing of the "1" subarray is 62° and the phase gradient is 30° / mm.

[0074] Step 3: Select a specific application scenario where the required beam pointing θ is 41.7°. Based on the principle of average phase gradient, assume M... s A subarray of "0"s and N s The total phase shift of array V after splicing together the "1" subarrays is ψ. all :

[0075] ψ all =2π(M) s +N s )

[0076] The average phase gradient is defined as follows:

[0077]

[0078] Where m0 and m1 are the number of planar reflection array elements in the azimuth plane within the 360° phase period of the "0" subarray and the "1" subarray, respectively, and d is the period of the planar reflection array element. To make the beam of V point towards θ... i To approximate the target beam θ, the average phase gradient of V is required. Phase gradient P approximating the target beam θ gi That is, the approximation error ε:

[0079]

[0080] p gi =k0·sinθ

[0081] If ε′ approaches 0, then the beam pointing of V approximates the target beam pointing θ. When ε′ is sufficiently small, there exists a solution M. s and N s Then kM must exist. s and kN s Take M s +N s The minimum value is the final solution, i.e., M. s =1, N s =0. The minimum periodic row vector is V. min = [0], where 0 represents a submatrix of "0" and 1 represents a submatrix of "1", that is, the minimum periodic row vector V is formed by the submatrix of "0". min .

[0082] Step 4) Based on the specific application scenario, use the minimum periodic row vector V min By expanding the array by 8 times in the azimuth plane and by 5 times in the elevation plane, a modular passive reflector array with a diameter of 100mm × 128mm, composed of 40 "0" subarrays, is obtained. Its array model is as follows: Figure 4 As shown.

[0083] Example 2: Design of a modular passive reflector array with a beam pointing of 44.8° required for a specific application scenario.

[0084] The structure of the "0" subarray, "1" subarray, and planar reflection array unit in this example is the same as that in Example 1. It realizes a modular passive reflection array with a reflected wave beam pointing at 44.8°.

[0085] The number of "0" subarrays in its minimum periodic row vector is M s =4, the number of "1" subarrays in the smallest periodic row vector is N s =1, the smallest periodic row vector is V min =

[00010] , that is, arranging the "0" subarray and the "1" subarray in the order of 00010 to form the minimum periodic row vector V. min .

[0086] With the smallest periodic row vector V min The array is expanded by 2 times in the azimuth plane and 5 times in the elevation plane, respectively, to obtain a 100mm×152mm combinable passive reflector array composed of 10 "00010" subarrays.

[0087] Example 3: Design of a modular passive reflector array with a beam pointing of 49.3° required for a specific application scenario.

[0088] The structure of the "0" subarray, "1" subarray, and planar reflection array unit in this example is the same as that in Example 1. It realizes a modular passive reflection array with a reflected wave beam pointing at 49.3°.

[0089] The number of "0" subarrays in its minimum periodic row vector is M s =1, the number of "1" subarrays N in the smallest periodic row vector s =1, the smallest periodic row vector is V min =

[01] , that is, arranging the "0" subarray and the "1" subarray in the order of 0 and 1 to form the minimum periodic row vector V. min .

[0090] With the smallest periodic row vector V min Expanding the array by a factor of 4 in the azimuth plane and by a factor of 2 in the elevation plane, respectively, yields the following results: Figure 5 The diagram shows a 40mm × 112mm combinable passive reflector array composed of eight "01" subarrays. Figure 5 As shown.

[0091] Example 4: Design of a modular passive reflector array with a beam pointing of 56° required for a specific application scenario.

[0092] The structure of the "0" subarray, "1" subarray, and planar reflection array unit in this example is the same as that in Example 1. It realizes a modular passive reflection array with a reflected wave beam pointing at 56°.

[0093] The number of "0" subarrays in its minimum periodic row vector is M s =1, the number of "1" subarrays N in the smallest periodic row vector s =4, the smallest periodic row vector is V min =

[11101] , that is, arranging the "0" subarray and the "1" subarray in the order of 11101 to form the minimum periodic row vector V. min .

[0094] With the smallest periodic row vector V min The array is expanded by 2 times in the azimuth plane and 5 times in the elevation plane, respectively, to obtain a 100mm×128mm passive reflector array composed of 10 "11101" subarrays.

[0095] Example 5: Design of a modular passive reflector array with a beam pointing of 62° required for a specific application scenario.

[0096] The structure of the "0" subarray, "1" subarray, and planar reflection array unit in this example is the same as that in Example 1. It realizes a modular passive reflection array with a reflected wave beam pointing at 62°.

[0097] When the reflected wave beam is pointed at 62°, the number M of "0" subarrays in its minimum periodic row vector is... s =0, the number of "1" subarrays N in the smallest periodic row vector s =1, the smallest periodic row vector is V min =[1], that is, the minimum periodic row vector V is formed by the subarray of "1". min .

[0098] With the smallest periodic row vector V min By expanding the array by 10 times in the azimuth plane and 5 times in the elevation plane, a 100mm×120mm passive reflector array composed of 50 "1" subarrays is obtained.

[0099] The effects of this invention can be further illustrated by the following simulations and tests:

[0100] I. Simulation Conditions

[0101] The simulation software is HFSS, and the operating frequency of the passive reflector array is 28 GHz.

[0102] II. Simulation Content

[0103] Simulation 1: Example 1 was simulated in HFSS software to obtain the radiation pattern (theoretical calculated values ​​and full-wave simulation values), as shown below. Figure 6 As shown. From Figure 6 As can be seen, the main beam pointing in this example is 41.9°, which is only 0.2° off from the design requirement of 41.7°, thus meeting the design requirements.

[0104] Simulation 2: Example 2 was simulated in HFSS software to obtain the radiation pattern (theoretical calculated values ​​and full-wave simulation values), as shown below. Figure 7 As shown. From Figure 7 It can be seen that the main beam direction is 44.8°, which is consistent with the design requirements.

[0105] Simulation 3: Example 3 was simulated in HFSS software to obtain the radiation pattern (theoretical calculated values ​​and full-wave simulation values), as shown below. Figure 8 As shown. From Figure 8 It can be seen that the main beam pointing is 49.4°, which is only 0.1° off from the design requirement of 49.3°, thus meeting the design requirements.

[0106] Simulation 4: Simulation of Example 4 was performed in HFSS software to obtain the radiation pattern (theoretical calculated value and full-wave simulation value) as shown below. Figure 9 As shown. From Figure 9 It can be seen that the main beam direction is 56°, which meets the design requirements.

[0107] Simulation 5: Example 5 was simulated in HFSS software to obtain the radiation pattern (theoretical calculated values ​​and full-wave simulation values), as shown below. Figure 10 As shown. From Figure 10 It can be seen that the main beam direction is 62°, which meets the design requirements.

[0108] The simulation results above can verify the effectiveness of the average phase gradient principle in estimating beam pointing, that is, the present invention can achieve beam reconfigurability and aperture reconfigurability.

[0109] The above description is only a specific embodiment of the present invention and not all embodiments. Any equivalent modifications made by those skilled in the art to the technical solutions of the present invention by reading the present invention specification shall be covered by the claims of the present invention.

Claims

1. A design method of a tileable passive reflective array, characterized in that, Comprising the following steps: 1) determining the beam reconstruction range θ0≤θ≤θ1 of the splicable passive reflectarray; 2) according to the beam reconstruction range θ0≤θ≤θ1 of the splicable passive reflectarray, designing two types of sub-arrays of "0" and "1", wherein the first type of "0" sub-array is an m0×n0 array composed of a plurality of planar reflectarray units, and the beam pointing direction is θ0; the second type of "1" sub-array is an m1×n1 array composed of a plurality of planar reflectarray units, and the beam pointing direction is θ1; 3) Select the required splicable passive reflection array beam pointing θ for specific application scenarios, according to the average phase gradient principle, sequentially arrange M s "0" subarrays and N s "1" subarrays to form the minimum period row vector V min of the reflection array, where M s and N s are integers greater than or equal to 0, so that the main beam pointing of the minimum period row vector V min is θ; 4) The minimum periodic row vector V is selected according to the specific application scenario min The size of the desired splicable passive reflective array is obtained by extending the elevation plane and the azimuth plane of the array respectively.

2. The design method of a spliceable passive reflection array according to claim 1, wherein, In 2), the m0 is the number of planar reflectarray units of the "0" sub-array in the azimuth plane within a 360° phase period, and is calculated according to the following formula: where d is the planar reflecting array unit period, P g0 is the phase gradient, where k0is the spatial wave number, θ0is the desired beam pointing of the "0" subarray in the design; the principle of selecting m0is to select an integer value that makes the beam pointing value closest to θ0; the n0is the number of planar reflecting array units of the "0" subarray along the elevation plane, which is set according to the actual application scenario and processing conditions; The θ0 is the beam pointing direction of the "0" sub-array, and is obtained by substituting m0 into the following formula:

3. The design method of a spliceable passive reflection array according to claim 1, wherein, In 2), the m1 is the number of planar reflectarray units of the "1" sub-array in the azimuth plane within a 360° phase period, and is calculated according to the following formula: where d is the planar reflectarray unit period, P g1 is the phase gradient, where k0is the spatial wave number, θ1is the desired beam pointing of the "1" subarray by design; the selection principle of m1is: select the integer value that makes the beam pointing can take the value closest to θ1. The n1 is the number of planar reflectarray units of the "1" sub-array along the elevation plane, and is set according to the actual application scene and processing conditions; The θ1 is the beam pointing direction of the "1" sub-array, and is obtained by substituting m1 into the following formula:

4. The design method of a spliceable passive reflection array according to claim 1, wherein, 3) M described in the M s and N s are calculated by the average phase gradient principle described below: Assume M s The total phase shift of the array V after the M s "0" sub-arrays and N all "1" sub-arrays is ψ Ψ all = 2π(M s + N s ) The average phase gradient is then defined as where m0and m1are the number of planar reflectarray elements of the "0" subarray and "1" subarray in the azimuth plane within the 360° phase period, d is the planar reflectarray element period, and θ is the target beam direction i The average phase gradient of V that approximates the target beam θ is The phase gradient P of V that approximates the target beam θ is gi i.e.: The ε can be equivalent to ε': Let ε' approach 0, then the beam pointing of V approaches the target beam pointing θ, when ε' is small enough, there is a solution M s and N s , then there must be kM s and kN s , take M s +N s minimum as the final solution, M s "0" sub-matrix and N s "1" sub-matrix can have various arrangement modes, calculate the array directional pattern of various arrangement modes, and select the arrangement mode with the minimum beam pointing error and the minimum sidelobe as the minimum period row vector V min .

5. The design method of a spliceable passive reflection array according to claim 1, wherein, 4) in the minimum period row vector V min To expand the azimuth and elevation planes by one unit means to concatenate any number of minimum period row vectors V min , to form a reflection array:

6. A tileable passive reflective array, characterized in that, Designed by the design method of the splicable passive reflectarray according to any one of claims 1-5.

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