Analysis Method and Apparatus for the Electrical Performance of Radomes Based on Polygon Vertex Control

Abstract

This invention discloses a method and apparatus for analyzing the electrical performance of a radome based on polygon vertex control, comprising: randomly generating multiple sets of radome thickness error distributions; calculating the first far-field radiation pattern interval of the radome corresponding to the multiple sets of radome thickness error distributions, and extracting the first variation interval of the radome's performance indicators; calculating the amplitude and phase variation intervals of the transmission coefficient at each point on the radome, obtaining the sector intervals formed by the transmission coefficient at each point on the radome in the complex domain; dividing the sector intervals formed by the transmission coefficient at each point on the radome in the complex domain into polygon intervals in the real domain, rewriting the polygon intervals of the transmission coefficients as intervals of the radome's far-field values ​​and summing them, performing vertex control on the redundant polygon intervals before each summation, obtaining the second far-field radiation pattern interval of the radome, and extracting the second variation interval of the radome's performance indicators; comparing the first variation interval and the second variation interval to analyze the radome's performance indicators. This invention can improve analysis efficiency.

Description

Technical Field

[0001] This invention belongs to the field of radar antenna technology, specifically relating to a method and apparatus for analyzing the electrical performance of an antenna radome based on polygon vertex control. Background Technology

[0002] A radome is a wave-transparent shell that protects an antenna from the influence of the natural environment. It is a covering made of natural or artificial dielectric materials, or a specially shaped electromagnetic window constructed from a dielectric shell supported by a truss. A well-designed radome, in addition to its protective, conductive, reliable, concealing, and decorative functions, can extend the lifespan of all components of the system, reduce lifespan and operating costs, simplify design, reduce maintenance costs, ensure the accuracy of the antenna surface and position, and create a good working environment for antenna operators. However, radomes can also affect the electromagnetic radiation of an ideal antenna, thus reducing its electrical performance.

[0003] In existing technologies, due to manufacturing errors during processing and the influence of external environmental factors during service, the design parameters of radomes always deviate to some extent, causing the electrical performance of the radome to deviate from the design value and introducing a certain degree of uncertainty. To ensure the normal and reliable operation of the radome, it is necessary to effectively and accurately predict the uncertainty of the radome's electrical performance under the influence of error factors. However, in existing technologies, the blind use of polygon addition in the polygon interval analysis process leads to a continuous increase in the number of polygon vertices, severely affecting computational efficiency.

[0004] Therefore, there is an urgent need to provide an analysis method for the electrical performance of radomes based on polygon vertex control in order to improve the shortcomings of existing technologies. Summary of the Invention

[0005] To address the aforementioned problems in the prior art, this invention provides a method and apparatus for analyzing the electrical performance of an antenna radome based on polygon vertex control. The technical problem to be solved by this invention is achieved through the following technical solution:

[0006] In a first aspect, the present invention provides a method for analyzing the electrical performance of an antenna radome based on polygon vertex control, comprising:

[0007] Based on the preset range of radome thickness values, multiple sets of radome thickness error distributions are randomly generated.

[0008] Based on the structural and material parameters of the radome, the first far-field radiation pattern interval of the radome corresponding to multiple sets of radome thickness error distributions is calculated, and the first variation interval of the radome's performance indicators is extracted from the first far-field radiation pattern interval.

[0009] Calculate the amplitude and phase variation range of the transmission coefficient at each point on the radome to obtain the sector interval formed by the transmission coefficient at each point on the radome in the complex domain; divide the sector interval formed by the transmission coefficient at each point on the radome in the complex domain into a polygon interval in the real domain; based on the polygon interval of the transmission coefficient at each point on the radome in the real domain, obtain the polygon interval corresponding to the far-field value of the radome.

[0010] Redundant vertices of the polygonal interval corresponding to the far-field value of the radome are deleted. The polygonal interval corresponding to the far-field value of the radome after deleting redundant vertices is summed to obtain the second far-field radiation pattern interval of the radome. The second variation interval of the radome's performance index is extracted from the second far-field radiation pattern interval.

[0011] Compare the first and second variation ranges to analyze the performance indicators of the radome.

[0012] Secondly, the present invention also provides an analysis device for the electrical performance of an antenna radome based on polygon vertex control, comprising:

[0013] The data acquisition unit is used to randomly generate multiple sets of radome thickness error distributions based on the preset range of variation of radome thickness values.

[0014] The first variation range acquisition module is used to calculate the first far-field radiation pattern range of the radome corresponding to multiple sets of radome thickness error distributions based on the structural parameters and material parameters of the radome, and extract the first variation range of the radome's performance indicators from the first far-field radiation pattern range.

[0015] The conversion module is used to calculate the amplitude and phase variation range of the transmission coefficient at each point on the radome, and obtain the sector interval formed by the transmission coefficient at each point on the radome in the complex domain; divide the sector interval formed by the transmission coefficient at each point on the radome in the complex domain into a polygon interval in the real domain; and obtain the polygon interval corresponding to the far-field value of the radome based on the polygon interval of the transmission coefficient at each point on the radome in the real domain.

[0016] The second variation range acquisition module is used to delete redundant vertices of the polygonal interval corresponding to the far-field value of the radome, sum the polygonal intervals corresponding to the far-field value of the radome after deleting redundant vertices, obtain the second far-field radiation pattern interval of the radome, and extract the second variation range of the radome's performance index from the second far-field radiation pattern interval.

[0017] The analysis module is used to compare the first and second variation intervals to analyze the performance indicators of the radome.

[0018] The beneficial effects of this invention are:

[0019] This invention provides a method and apparatus for analyzing the electrical performance of a radome based on polygon vertex control. It uses polygonal intervals of amplitude and phase to describe the transmission coefficient variation range under the radome thickness error factor, and uses Minkowski summation of polygonal intervals to analyze the far field. Furthermore, it proposes two schemes to control polygonal vertices to remove redundant points. Compared with existing radome electrical performance interval analysis methods, this invention significantly improves analysis efficiency while maintaining interval analysis accuracy.

[0020] The present invention will be further described in detail below with reference to the accompanying drawings and embodiments. Attached Figure Description

[0021] Figure 1 This is a flowchart of an analysis method for the electrical performance of an antenna radome based on polygon vertex control, provided in an embodiment of the present invention.

[0022] Figure 2 This is a schematic diagram of an antenna radome model provided in an embodiment of the present invention;

[0023] Figure 3 This is a schematic diagram of an antenna radome model provided in an embodiment of the present invention;

[0024] Figure 4 A schematic diagram of a vertex control method provided in an embodiment of the present invention;

[0025] Figure 5 Another schematic diagram of the vertex control method provided in an embodiment of the present invention;

[0026] Figure 6 This is a schematic diagram illustrating the performance index analysis of the radome provided in an embodiment of the present invention. Detailed Implementation

[0027] The present invention will be further described in detail below with reference to specific embodiments, but the implementation of the present invention is not limited thereto.

[0028] Errors introduced during the manufacturing and service of radomes can affect their electrical performance. Polygon interval analysis can accurately analyze the range of electrical performance changes under the influence of parameter errors, but the number of polygon vertices increases continuously during interval analysis, resulting in low computational efficiency.

[0029] In view of this, the method for analyzing the electrical performance of radomes based on polygon vertex control proposed in this invention can control the number of vertices in the polygonal interval corresponding to the radome, thereby greatly improving computational efficiency while ensuring computational accuracy.

[0030] Please see Figure 1 , Figure 1This is a flowchart of a method for analyzing the electrical performance of an antenna radome based on polygon vertex control, provided in an embodiment of the present invention. Figure 2 This is a schematic diagram of a radome model provided in an embodiment of the present invention. The present invention provides a method for analyzing the electrical performance of a radome based on polygon vertex control, comprising:

[0031] S101. Based on the preset range of radome thickness values, randomly generate multiple sets of radome thickness error distributions.

[0032] Specifically, in this embodiment, multiple sets of radome thickness error distributions are randomly generated through the following process:

[0033] In commercial model analysis software, a geometric model of the radome is established based on its structural form. The model is then meshed, dividing the geometric model of the radome into... And the grid, set the grid side length to 0.2. , Indicates the wavelength of the antenna;

[0034] Preset radome thickness Error range is With the mean as Standard deviation is ,generate A random number;

[0035] Repeat the above process 1000 times to generate 1000 sets of radome thickness error distributions, each set including A random number.

[0036] S102. Based on the structural and material parameters of the radome, calculate the first far-field radiation pattern interval of the radome corresponding to multiple sets of radome thickness error distributions, and extract the first variation interval of the radome's performance indicators from the first far-field radiation pattern interval.

[0037] Specifically, in this embodiment, the first range of variation of the radome's performance indicators includes:

[0038] Based on the structural and material parameters of the radome, the transmission coefficient of the radome is calculated using transmission line theory. ;

[0039] Based on the known aperture field of the radome Calculate the aperture field through the radome. Its expression is:

[0040] ;

[0041] in, The transmission coefficient represents the principal polarization component at various points on the radome;

[0042] Based on the aperture field through the radome Calculate the far field of the radome Its expression is:

[0043] ;

[0044] in, Indicates the aperture surface visible through the radome. The sum represents the position of the observation point P in the rectangular coordinate system. spherical coordinate angles in the middle, Represents the free space propagation constant;

[0045] Based on the far field of the radome Plot the first far-field radiation pattern interval and extract the gain from the first far-field radiation pattern interval. Main beam position and the level of the first sidelobe The range of variation is the first range of variation for the performance indicators of the radome.

[0046] In this embodiment, based on the known aperture field of the radome... Calculate the aperture field through the radome. ,include:

[0047] With the center of the bottom surface of the radome as the origin, the bottom surface is... Plane, radome height is Direction, construct a rectangular coordinate system , Indicates the aperture surface of the radome. This indicates the aperture surface visible through the radome, and at the same time, , and The directional components are respectively used , and ;

[0048] Based on the geometry of the radome and the incident aperture field, determine the incident angle at each point on the radome. and polarization angle The angle between the incident ray of the electromagnetic wave and the normal at the point of incidence is denoted as the angle of incidence. The angle between the polarization direction of the electromagnetic wave and the incident plane is denoted as the polarization angle. The incident plane is formed by the electromagnetic wave incident ray and the normal at the incident point;

[0049] The loss tangent of the radome material The default value is 0, depending on the thickness of the radome at various points. Relative permittivity Calculate the transmission coefficient of the horizontal polarization component at each point on the radome. and vertical polarization component transmission coefficient Their expressions are as follows:

[0050] ;

[0051] ;

[0052] in, , , , , and All are intermediate variables. Represents the transmission coefficient of the horizontal polarization component. The modulus, Represents the transmission coefficient of the vertical polarization component. The modulus, Represents the transmission coefficient of the horizontal polarization component. phase, Represents the transmission coefficient of the vertical polarization component. The phase;

[0053] in, , , , , , , , , , , ;

[0054] Based on the transmission coefficient of the horizontal polarization component at various points on the radome and vertical polarization component transmission coefficient The transmission coefficient of the principal polarization component at each point on the radome is calculated, and its expression is:

[0055] ;

[0056] ;

[0057] in, Indicates intermediate variables;

[0058] Given the known aperture field of the radome Multiply by the transmission coefficient of the principal polarization component at the corresponding point. The aperture field through the radome was obtained. .

[0059] Furthermore, based on the structural and material parameters of the radome, the transmission coefficient of the radome is calculated using transmission line theory. ;

[0060] Based on the known aperture field of the radome Calculate the aperture field through the radome. Its expression is:

[0061] ;

[0062] in, The transmission coefficient represents the principal polarization component at various points on the radome;

[0063] Based on the aperture field through the radome Calculate the far field of the radome Its expression is:

[0064] ;

[0065] in, Indicates the aperture surface visible through the radome. and This indicates that the observation point P is in a rectangular coordinate system. spherical coordinate angles in the middle, Represents the free space propagation constant. , The wavelength of the antenna is indicated by its operating frequency. and ,calculate ;

[0066] Based on the far field of the radome Plot the first far-field radiation pattern and extract the gain from the first far-field radiation pattern. Main beam position and the level of the first sidelobe The range of variation is the first range of variation for the performance indicators of the radome.

[0067] S103. Calculate the amplitude and phase variation range of the transmission coefficient at each point on the radome to obtain the sector-shaped interval formed by the transmission coefficient at each point on the radome in the complex domain; divide the sector-shaped interval formed by the transmission coefficient at each point on the radome in the complex domain into a polygonal interval in the real domain; based on the polygonal interval of the transmission coefficient at each point on the radome in the real domain, obtain the polygonal interval corresponding to the far-field value of the radome.

[0068] Specifically, in this embodiment, the polygonal region corresponding to the radome is obtained through the following process:

[0069] Transmission coefficient of horizontal polarization component at various points on the radome and vertical polarization component transmission coefficient Simplified to:

[0070] , ;

[0071] in, ;

[0072] ;

[0073] ;

[0074] , and All are intermediate variables, depending on the radome thickness. range of change Calculate intermediate variables range of change Calculate intermediate variables range of change and calculation of intermediate variables range of change ;

[0075] Based on intermediate variables range of change intermediate variables range of change and intermediate variables range of change Obtain the transmission coefficient of the horizontal polarization component. modulus range of change and the transmission coefficient of the horizontal polarization component phase range of change And construct the horizontal polarization component transmission coefficient The sector interval; its expression is:

[0076] , ;

[0077] , ;

[0078] in, ;

[0079] ;

[0080] ;

[0081] ;

[0082] ;

[0083] ;

[0084] ;

[0085] ;

[0086] Based on intermediate variables range of change intermediate variables range of change and intermediate variables range of change Obtain the transmission coefficient of the vertical polarization component. modulus range of change and the transmission coefficient of the vertical polarization component phase range of change And construct the vertical polarization component transmission coefficient The sector interval; its expression is:

[0087] , ;

[0088] , ;

[0089] in, ;

[0090] ;

[0091] ;

[0092] ;

[0093] ;

[0094] ;

[0095] ;

[0096] ;

[0097] Obtain the transmission coefficient of the horizontal polarization component The modulus of the sector formed in the far field of the radome range of change and phase range of change The vertical polarization component transmission coefficient is obtained by considering the sector-shaped interval formed by the horizontal polarization component transmission coefficient at various points on the radome in the complex domain. The modulus of the sector formed in the far field of the radome range of change and phase range of change This represents the sector-shaped interval formed in the complex domain by the transmission coefficient of the vertical polarization component at various points on the radome; its expression is:

[0098] , ;

[0099] , ;

[0100] , ;

[0101] , ;

[0102] in, , , This represents the area of ​​the divided grid cells.

[0103] Obtain the four endpoints of the sector-shaped interval formed by the transmission coefficient of the horizontal polarization component at various points on the radome in the complex domain. , , and and the coordinates of the endpoints , , and Its expression is:

[0104] , ;

[0105] , ;

[0106] , ;

[0107] , ;

[0108] Among them, endpoints With endpoints endpoints With endpoints The corresponding part is the arc of a fan shape;

[0109] endpoints With endpoints Between, endpoints With endpoints endpoints With endpoints Connect the endpoints with a straight line. With endpoints The phase range of the sector is divided into 10 equal parts by connecting the arcs and line segments tangent to the arcs. Each part corresponds to a line segment. This polygonal interval completely encloses the original sector interval, transforming the sector interval formed by the transmission coefficient of the horizontal polarization component at each point on the radome in the complex domain into a polygonal interval in the real domain.

[0110] Obtain the four endpoints of the sector-shaped interval formed by the transmission coefficient of the vertical polarization component at various points on the radome in the complex domain. , , and and the coordinates of the endpoints , , and Its expression is:

[0111] , ;

[0112] , ;

[0113] , ;

[0114] ,

[0115] Among them, endpoints With endpoints endpoints With endpoints The corresponding part is the arc of a fan shape;

[0116] endpoints With endpoints Between, endpoints With endpoints endpoints With endpoints Connect the endpoints with a straight line. With endpoints The transmission coefficients of the vertical polarization components at various points on the radome are connected by arcs and line segments tangent to the arcs, transforming the sector-shaped intervals formed by the transmission coefficients of the vertical polarization components in the complex domain into polygonal intervals in the real domain.

[0117] The order of the endpoints of the polygonal intervals in the real domain corresponding to the transmission coefficients of the horizontal polarization components and the polygonal intervals in the real domain corresponding to the transmission coefficients of the vertical polarization components at various points on the radome is adjusted so that the starting endpoints have the smallest imaginary part in the complex domain, and all endpoints are sorted counterclockwise according to the original sector intervals.

[0118] Furthermore, based on the far-field integral formula, the polygonal intervals of the real domain corresponding to the transmission coefficients of the horizontal polarization components and the vertical polarization components at each point on the radome are rewritten to obtain the polygonal intervals of the field values ​​at each discrete point in the far-field radiation pattern, that is, the polygonal intervals corresponding to the far-field field values ​​of the radome.

[0119] Specifically, for any two sets of polygon endpoints, arrange all polygon vertices in a counter-clockwise direction, and denote them as follows: and , and The initial value of is 1, and the endpoints of the resulting polygon are denoted as . ,Pick ;

[0120] , ;

[0121] Calculate from point Point of view The angle between the vector and the positive direction of the x-axis And calculate from point point to The angle between the vector and the positive direction of the x-axis ,if Then let Otherwise ;

[0122] if and If the summation process ends, then let... Continue with the steps described above.

[0123] S104. Delete redundant vertices from the polygonal intervals corresponding to the far-field values ​​of the radome. Summate the polygonal intervals corresponding to the far-field values ​​of the radome after deleting redundant vertices to obtain the second far-field radiation pattern interval of the radome. Extract the second variation interval of the radome's performance indicators from the second far-field radiation pattern interval.

[0124] Specifically, this embodiment includes two methods for deleting redundant vertices; one of which is to delete redundant points by compressing polygons, specifically:

[0125] Calculate the polygonal interval corresponding to the far-field value of the radome. The length array of each edge Its expression is:

[0126] ;

[0127] ;

[0128] ;

[0129] ;

[0130] ;

[0131] in, and This represents the polygonal interval corresponding to the far-field values ​​of the radome. Mid-vertex coordinate array, This represents the polygonal interval corresponding to the far-field values ​​of the radome. Mid-vertices coordinate array, The polygonal interval representing the far-field value of the radome Mid-vertices coordinate array, express The reconstructed array can also be understood as, Indicates will The first coordinate value is appended to the last coordinate value. coordinate array, express The reconstructed array can also be understood as, Indicates will The first coordinate value is appended to the last coordinate value. coordinate array, Represents a polygonal interval The number of vertices, Represents a polygonal interval The vertex coordinates;

[0132] Find the smallest length array The starting point of the corresponding edge It's understandable that this starting point refers to the starting point of the shortest side of the polygon interval; it's a point in the array, not necessarily the starting point of the array itself. Possibly equal to It may also be equal to Using this starting point as a redundant vertex, the coordinates of the redundant vertex are transferred from the polygonal interval corresponding to the far-field value of the radome. After deleting the mid-vertex coordinate array, we obtain the polygonal interval corresponding to the updated far-field values ​​of the radome. The mid-vertex coordinate arrays are as follows:

[0133] ;

[0134] ;

[0135] Check the polygonal interval corresponding to the updated far-field values ​​of the radome. Does the number of mid-vertex vertices not exceed If the number of redundant vertices is less than or equal to 1, then the polygonal interval corresponding to the far-field value of the radome after removing redundant vertices is obtained; if the number of redundant vertices is greater than or equal to 1, then the search for redundant vertices continues and they are removed until the polygonal interval corresponding to the updated far-field value of the radome is obtained. The number of mid vertices does not exceed indivual.

[0136] Another method is to remove redundant points by expanding the polygon, specifically:

[0137] Calculate the polygonal interval corresponding to the far-field value of the radome. The length array of each edge Its expression is:

[0138] ;

[0139] ;

[0140] ;

[0141] ;

[0142] ;

[0143] in, and This represents the polygonal interval corresponding to the far-field values ​​of the radome. Mid-vertex coordinate array, This represents the polygonal interval corresponding to the far-field values ​​of the radome. Mid-vertices coordinate array, This represents the polygonal interval corresponding to the far-field values ​​of the radome. Mid-vertices coordinate array, express The reconstructed array, as can be understood, Indicates will The first coordinate value is appended to the last coordinate value. coordinate array, express The reconstruction of the array is understandable. Indicates will The first coordinate value is appended to the last coordinate value. coordinate array, Represents a polygonal interval The number of vertices, Represents a polygonal interval The vertex coordinates;

[0144] Find the smallest length array The starting point number of the corresponding edge In the polygonal interval corresponding to the far-field value of the radome Find the vertex with the number in the mid-vertex coordinate array. , and The corresponding vertices, and their corresponding coordinates are as follows:

[0145] ;

[0146] ;

[0147] ;

[0148] ;

[0149] Among them, the number is The vertices and their numbers are The edges formed by the vertices are used as the first line segment. Numbered The vertices and their numbers are The edge formed by the vertex is used as the second line segment. Numbered The vertices and their numbers are The edge formed by the vertex is used as the third line segment. The first line segment Second line segment The expressions are as follows:

[0150] ;

[0151] ;

[0152] in, and Indicates parameters, , ;

[0153] If the first line segment With the second line segment If the lines are parallel within the allowable error range, then the third line segment... midpoint As the new vertex, it will be numbered as The vertices and their numbers are The vertices are treated as redundant vertices and removed, resulting in the polygonal interval corresponding to the updated far-field values ​​of the radome. Midpoint vertex coordinate array; otherwise, the first line segment With the second line segment intersection As the new vertex, it will be numbered as The vertices and their numbers are The vertices are treated as redundant vertices and removed, resulting in the polygonal interval corresponding to the updated far-field values ​​of the radome. Mid-vertex coordinate array;

[0154] Among them, the first line segment With the second line segment Intersection is represented as:

[0155] ;

[0156] but, ;

[0157] in, , , , ;

[0158] First line segment With the second line segment intersection The coordinates are:

[0159] ;

[0160] ;

[0161] The polygonal interval corresponding to the updated far-field values ​​of the radome The mid-vertex coordinate array is represented as:

[0162] ;

[0163] ;

[0164] Check the polygonal interval corresponding to the updated far-field values ​​of the radome. Does the number of mid-vertex vertices not exceed If the number of redundant vertices is less than or equal to 1, then the polygonal interval corresponding to the far-field value of the radome after removing redundant vertices is obtained; if the number of redundant vertices is greater than or equal to 1, then the search for redundant vertices continues and they are removed until the polygonal interval corresponding to the updated far-field value of the radome is obtained. The number of mid vertices does not exceed indivual.

[0165] S105. Compare the first and second variation intervals to analyze the performance indicators of the radome.

[0166] Specifically, in this embodiment, the first variation interval and the second variation interval are compared to determine whether the electrical performance index of the radome meets the preset requirements. If it does, the result of analyzing the performance index of the radome is obtained. If it does not, the redundant nodes of the polygon interval corresponding to the far-field value of the radome are deleted, and the second far-field radiation pattern interval of the radome is updated until the electrical performance index of the radome meets the preset requirements.

[0167] In summary, the radome electrical performance analysis method based on polygon vertex control provided by this invention uses polygonal intervals of amplitude and phase to describe the transmission coefficient variation range under the radome thickness error factor, and uses Minkowski summation of polygonal intervals to analyze the far field. Furthermore, it proposes two schemes to control polygonal vertices to remove redundant points. Compared with existing radome electrical performance interval analysis methods, this method significantly improves analysis efficiency while maintaining interval analysis accuracy.

[0168] Based on the same inventive concept, this invention also provides an analysis device for the electrical performance of a radome based on polygon vertex control, used to implement the analysis method for the electrical performance of a radome based on polygon vertex control provided in the above embodiments of this invention. Examples of the method are described above and will not be repeated here. The device includes:

[0169] The data acquisition unit is used to randomly generate multiple sets of radome thickness error distributions based on the preset range of variation of radome thickness values.

[0170] The first variation range acquisition module is used to calculate the first far-field radiation pattern range of the radome corresponding to multiple sets of radome thickness error distributions based on the structural parameters and material parameters of the radome, and extract the first variation range of the radome's performance indicators from the first far-field radiation pattern range.

[0171] The conversion module is used to calculate the amplitude and phase variation range of the transmission coefficient at each point on the radome, and obtain the sector interval formed by the transmission coefficient at each point on the radome in the complex domain; divide the sector interval formed by the transmission coefficient at each point on the radome in the complex domain into a polygon interval in the real domain; and obtain the polygon interval corresponding to the far-field value of the radome based on the polygon interval of the transmission coefficient at each point on the radome in the real domain.

[0172] The second variation range acquisition module is used to delete redundant vertices of the polygonal interval corresponding to the far-field value of the radome, sum the polygonal intervals corresponding to the far-field value of the radome after deleting redundant vertices, obtain the second far-field radiation pattern interval of the radome, and extract the second variation range of the radome's performance index from the second far-field radiation pattern interval.

[0173] The analysis module is used to compare the first and second variation intervals to analyze the performance indicators of the radome.

[0174] In an optional embodiment of the present invention, the effectiveness of the analysis method for the electrical performance of the radome based on polygon vertex control provided in the above embodiment is verified by simulation experiments, specifically as follows:

[0175] I. Simulation Parameters

[0176] The simulation parameters in this embodiment include: a radome of an aircraft, with the following shape... Figure 3 As shown, Figure 3 This is a schematic diagram of an radome model provided in an embodiment of the present invention. The base diameter is 0.5 meters, the height is 1 meter, the radome material is fiberglass, the relative permittivity of the material is 4, the magnetic loss tangent is 0.015, the radome wall thickness is 8 mm, the antenna aperture inside the radome is 0.22 meters, the operating frequency is 9.4 GHz, and its aperture field is a uniform amplitude and in-phase distribution. The antenna scanning angle is 6°. ° .

[0177] II. Simulation Content and Result Analysis

[0178] The electrical performance of the above-mentioned radome under the influence of thickness error was analyzed using the present invention, and the simulation results are as follows: Figure 4 As shown in Table 1, the simulation data is as follows.

[0179] Figure 4 This is a schematic diagram of a vertex control method provided in an embodiment of the present invention, which controls the number of vertices by compressing polygons. Figure 5 This is another schematic diagram of the vertex control method provided in an embodiment of the present invention, in which the number of vertices is controlled by expanding polygons, and the maximum number of vertices is set to 5.

[0180] Figure 6 In this context, "ordinary method" refers to the far-field radiation pattern interval obtained using the traditional polygon interval analysis method, "fast method" refers to the far-field radiation pattern interval obtained using the fast polygon interval analysis method provided by this invention, and "random error" refers to multiple sets of far-field radiation patterns obtained by repeatedly calculating with the introduction of random error distribution.

[0181] Table 1. System electrical performance index range

[0182]

[0183] As can be seen from the above results, compared with the traditional polygonal interval analysis method, the far-field radiation pattern intervals of the radome almost completely overlap after adopting the fast polygonal interval analysis method, and the electrical performance intervals of the radome also remain almost unchanged. Furthermore, both the radiation pattern and electrical performance intervals encompass the results of random errors. In terms of efficiency, the traditional polygonal interval analysis method takes 12846 seconds, while the fast polygonal interval analysis method takes only 231 seconds, significantly reducing the time consumed.

[0184] The above simulation data experiments demonstrate that the present invention can greatly improve the efficiency of polygonal interval analysis of radome electrical performance while maintaining analysis accuracy.

[0185] It should be noted that, in this document, relational terms such as "first" and "second" are used merely to distinguish one entity or operation from another, and do not necessarily require or imply any such actual relationship or order between these entities or operations. Furthermore, the terms "comprising," "including," or any other variations are intended to cover non-exclusive inclusion, such that an article or device comprising a list of elements includes not only those elements but also other elements not expressly listed. Without further limitations, an element defined by the phrase "comprising one..." does not exclude the presence of other identical elements in the article or device comprising said element. Terms such as "connected" or "linked" are not limited to physical or mechanical connections but can include electrical connections, whether direct or indirect. The orientations or positional relationships indicated by terms such as "upper," "lower," "left," and "right" are based on the orientations or positional relationships shown in the accompanying drawings and are used only for the convenience of describing the invention and for simplifying the description, and do not indicate or imply that the device or element referred to must have a specific orientation, be constructed and operated in a specific orientation, and therefore should not be construed as limiting the invention.

[0186] In the description of this specification, the references to terms such as "one embodiment," "some embodiments," "example," "specific example," or "some examples," etc., indicate that a specific feature or characteristic described in connection with that embodiment or example is included in at least one embodiment or example of the present invention. In this specification, the illustrative expressions of the above terms do not necessarily refer to the same embodiment or example. Moreover, the specific features or characteristics described may be combined in any suitable manner in one or more embodiments or examples. Furthermore, those skilled in the art can combine and integrate the different embodiments or examples described in this specification.

[0187] The above description, in conjunction with specific preferred embodiments, provides a further detailed explanation of the present invention. It should not be construed that the specific implementation of the present invention is limited to these descriptions. For those skilled in the art, various simple deductions or substitutions can be made without departing from the concept of the present invention, and all such modifications and substitutions should be considered within the scope of protection of the present invention.

Claims

1. A method for analyzing the electrical performance of an antenna radome based on polygon vertex control, characterized in that, include: Based on the preset range of radome thickness values, multiple sets of radome thickness error distributions are randomly generated. Based on the structural and material parameters of the radome, the first far-field radiation pattern interval of the radome corresponding to multiple sets of radome thickness error distributions is calculated, and the first variation interval of the radome's performance index is extracted from the first far-field radiation pattern interval. Calculate the amplitude and phase variation range of the transmission coefficient at each point on the radome to obtain the sector-shaped interval formed by the transmission coefficient at each point on the radome in the complex domain; The sector-shaped interval formed by the transmission coefficient at each point on the radome in the complex domain is divided into polygonal intervals in the real domain. Based on the polygonal interval of the transmission coefficient at each point on the radome in the real number domain, the polygonal interval corresponding to the far-field value of the radome is obtained. Redundant vertices of the polygonal interval corresponding to the far-field value of the radome are deleted, and the polygonal intervals corresponding to the far-field value of the radome after deleting redundant vertices are summed to obtain the second far-field radiation pattern interval of the radome. The second variation interval of the performance index of the radome is extracted from the second far-field radiation pattern interval. By comparing the first variation range and the second variation range, the performance indicators of the radome are analyzed.

2. The method for analyzing the electrical performance of a radome based on polygon vertex control according to claim 1, characterized in that, Redundant vertices in the polygonal interval corresponding to the far-field value of the radome are deleted, including: Calculate the polygonal interval corresponding to the far-field value of the radome. The length array of each edge Its expression is: ； ； ； ； ； in, and This represents the polygonal interval corresponding to the far-field values ​​of the radome. Mid-vertex coordinate array, This represents the polygonal interval corresponding to the far-field values ​​of the radome. Mid-vertex coordinate array, This represents the polygonal interval corresponding to the far-field values ​​of the radome. Mid-vertex coordinate array, express Reconstructing the array, express Reconstructing the array, Represents a polygonal interval The number of vertices, Represents a polygonal interval The vertex coordinates; Find the smallest length array The starting point of the corresponding edge Using this starting point as a redundant vertex, the coordinates of the redundant vertex are transferred from the polygonal interval corresponding to the far-field value of the radome. After deleting the mid-vertex coordinate array, we obtain the polygonal interval corresponding to the updated far-field values ​​of the radome. The mid-vertex coordinate arrays are as follows: ； ； Check the polygonal interval corresponding to the updated far-field values ​​of the radome. Does the number of mid-vertex vertices not exceed If the number of redundant vertices is less than or equal to 1, then the polygonal interval corresponding to the far-field value of the radome after deleting redundant vertices is obtained; if the number of redundant vertices is greater than or equal to 1, then the search for redundant vertices continues and they are deleted until the polygonal interval corresponding to the updated far-field value of the radome is obtained. The number of mid vertices does not exceed indivual.

3. The method for analyzing the electrical performance of an antenna radome based on polygon vertex control according to claim 1, characterized in that, Redundant vertices in the polygonal interval corresponding to the far-field value of the radome are deleted, including: Calculate the polygonal interval corresponding to the far-field value of the radome. The length array of each edge Its expression is: ； ； ； ； ； in, and This represents the polygonal interval corresponding to the far-field values ​​of the radome. Mid-vertex coordinate array, This represents the polygonal interval corresponding to the far-field values ​​of the radome. Mid-vertex coordinate array, This represents the polygonal interval corresponding to the far-field values ​​of the radome. Mid-vertex coordinate array, express Reconstructing the array, express Reconstructing the array, Represents a polygonal interval The number of vertices, Represents a polygonal interval The vertex coordinates; Find the smallest length array The starting point number of the corresponding edge In the polygonal interval corresponding to the far-field value of the radome Find the vertex with the number in the mid-vertex coordinate array. , and The corresponding vertices, and their corresponding coordinates are as follows: ； ； ； ； Among them, the number is The vertices and their numbers are The edge formed by the vertex is used as the first line segment. , will be numbered The vertices and their numbers are The edge formed by the vertex is used as the second line segment. Numbered The vertices and their numbers are The edge formed by the vertex is used as the third line segment. The first line segment and the second line segment The expressions are as follows: ； ； in, and Indicates parameters, , ; If the first line segment With the second line segment If the lines are parallel within the allowable error range, then the third line segment will be... midpoint As the new vertex, it will be numbered as The vertices and their numbers are The vertices are treated as redundant vertices and removed, resulting in the polygonal interval corresponding to the updated far-field values ​​of the radome. Midpoint vertex coordinate array; otherwise, the first line segment With the second line segment intersection As the new vertex, it will be numbered as The vertices and their numbers are The vertices are treated as redundant vertices and removed, resulting in the polygonal interval corresponding to the updated far-field values ​​of the radome. Mid-vertex coordinate array; Among them, the first line segment With the second line segment Intersection is represented as: ； but, ; in, , , , ; The first line segment With the second line segment intersection The coordinates are: ； ； The polygonal interval corresponding to the updated far-field value of the radome The mid-vertex coordinate array is represented as: ； ； Check the polygonal interval corresponding to the updated far-field values ​​of the radome. Does the number of mid-vertex vertices not exceed If the number of redundant vertices is less than or equal to 1, then the polygonal interval corresponding to the far-field value of the radome after deleting redundant vertices is obtained; if the number of redundant vertices is greater than or equal to 1, then the search for redundant vertices continues and they are deleted until the polygonal interval corresponding to the updated far-field value of the radome is obtained. The number of mid vertices does not exceed indivual.

4. The method for analyzing the electrical performance of an antenna radome based on polygon vertex control according to claim 1, characterized in that, Based on the structural and material parameters of the radome, the first far-field radiation pattern interval of the radome corresponding to multiple sets of radome thickness error distributions is calculated. From the first far-field radiation pattern interval, the first variation interval of the radome's performance indicators is extracted, including: Based on the structural and material parameters of the radome, the transmission coefficient of the radome is calculated using transmission line theory. ; Based on the known aperture field of the radome Calculate the aperture field through the radome. Its expression is: ； in, The transmission coefficient represents the principal polarization component at various points on the radome. According to the aperture field through the radome Calculate the far field of the radome Its expression is: ； in, Indicates the aperture surface visible through the radome. and This indicates that the observation point P is in a rectangular coordinate system. spherical coordinate angles in the middle, Represents the free space propagation constant; According to the far field of the radome Plot the first far-field radiation pattern interval and extract the gain from the first far-field radiation pattern interval. Main beam position and the level of the first sidelobe The range of variation is the first range of variation for the performance indicators of the radome.

5. The method for analyzing the electrical performance of a radome based on polygon vertex control according to claim 4, characterized in that, Based on the known aperture field of the radome Calculate the aperture field through the radome. ,include: With the center of the bottom surface of the radome as the origin, the bottom surface is... Plane, radome height is Direction, construct a rectangular coordinate system ; Based on the geometry of the radome and the incident aperture field, determine the incident angle at each point on the radome. and polarization angle ; The loss tangent of the radome material The default value is 0, depending on the thickness of the radome at various points. Relative permittivity Calculate the transmission coefficient of the horizontal polarization component at each point on the radome. and vertical polarization component transmission coefficient Their expressions are as follows: ； ； in, , , , , and All are intermediate variables. Represents the transmission coefficient of the horizontal polarization component. The modulus, Represents the transmission coefficient of the vertical polarization component. The modulus, Represents the transmission coefficient of the horizontal polarization component. phase, Represents the transmission coefficient of the vertical polarization component. The phase; Based on the transmission coefficient of the horizontal polarization component at various points on the radome and vertical polarization component transmission coefficient The transmission coefficient of the principal polarization component at each point on the radome is calculated, and its expression is: ； ； in, Indicates intermediate variables; The aperture field of the known radome Multiply by the transmission coefficient of the principal polarization component at the corresponding point. The aperture field through the radome was obtained. .

6. The method for analyzing the electrical performance of a radome based on polygon vertex control according to claim 5, characterized in that, Calculate the amplitude and phase variation range of the transmission coefficient at each point on the radome to obtain the sector-shaped interval of the transmission coefficient at each point on the radome in the complex domain, including: Transmission coefficient of horizontal polarization component at various points on the radome and vertical polarization component transmission coefficient Simplified to: ， ； in, ; ； ； in, Indicates the wavelength of electromagnetic waves. This indicates the relative permittivity of the radome material. Indicates the angle of incidence of the electromagnetic wave; , and All are intermediate variables, depending on the radome thickness. range of change Calculate intermediate variables range of change Calculate intermediate variables range of change and calculation of intermediate variables range of change ; Based on intermediate variables range of change intermediate variables range of change and intermediate variables range of change Obtain the transmission coefficient of the horizontal polarization component. modulus range of change and the transmission coefficient of the horizontal polarization component phase range of change And construct the horizontal polarization component transmission coefficient The sector-shaped interval; Based on intermediate variables range of change intermediate variables range of change and intermediate variables range of change Obtain the transmission coefficient of the vertical polarization component. modulus range of change and the transmission coefficient of the vertical polarization component phase range of change And construct the vertical polarization component transmission coefficient The sector-shaped interval; Obtain the transmission coefficient of the horizontal polarization component The modulus of the sector formed in the far field of the radome range of change and phase range of change The vertical polarization component transmission coefficient is obtained by considering the sector-shaped interval formed by the horizontal polarization component transmission coefficient at various points on the radome in the complex domain. The modulus of the sector formed in the far field of the radome range of change and phase range of change , which is the sector-shaped interval formed in the complex domain by the transmission coefficient of the vertical polarization component at each point on the radome.

7. The method for analyzing the electrical performance of a radome based on polygon vertex control according to claim 6, characterized in that, The transmission coefficient at each point on the radome is divided into a sector-shaped interval in the complex domain into a polygonal interval in the real domain, including: Obtain the four endpoints of the sector-shaped interval formed by the transmission coefficient of the horizontal polarization component at various points on the radome in the complex domain. , , and and the coordinates of the endpoints , , and ; The endpoint With the endpoint Between, the endpoints With the endpoint The endpoint With the endpoint Connect the endpoints using a straight line. With the endpoint The transmission coefficients of the horizontal polarization components at various points on the radome are connected by arcs and line segments tangent to the arcs, transforming the sector-shaped intervals formed by the transmission coefficients of the horizontal polarization components in the complex domain into polygonal intervals in the real domain. Obtain the four endpoints of the sector-shaped interval formed by the transmission coefficient of the vertical polarization component at various points on the radome in the complex domain. , , and and the coordinates of the endpoints , , and ; The endpoint With the endpoint Between, the endpoints With the endpoint The endpoint With the endpoint Connect the endpoints using a straight line. With the endpoint The transmission coefficients of the vertical polarization components at various points on the radome are connected by arcs and line segments tangent to the arcs, transforming the sector-shaped intervals formed by the transmission coefficients of the vertical polarization components in the complex domain into polygonal intervals in the real domain. The order of the endpoints of the polygonal intervals in the real domain corresponding to the transmission coefficients of the horizontal polarization components and the polygonal intervals in the real domain corresponding to the transmission coefficients of the vertical polarization components at various points on the radome is adjusted so that the starting endpoints have the smallest imaginary part in the complex domain, and all endpoints are sorted counterclockwise according to the original sector intervals.

8. The method for analyzing the electrical performance of a radome based on polygon vertex control according to claim 7, characterized in that, Based on the polygonal interval of the transmission coefficient at each point on the radome in the real number domain, the polygonal interval corresponding to the far-field value of the radome is obtained, including: Based on the far field of the radome The expression is used to rewrite and sum the polygonal intervals of the real domain corresponding to the transmission coefficients of the horizontal polarization components and the transmission coefficients of the vertical polarization components at various points on the radome, thus obtaining the polygonal intervals corresponding to the far-field values ​​of the radome.

9. The method for analyzing the electrical performance of a radome based on polygon vertex control according to claim 1, characterized in that, By comparing the first variation range and the second variation range, the performance indicators of the radome are analyzed, including: By comparing the first variation range and the second variation range, it is determined whether the electrical performance indicators of the radome meet the preset requirements. If they do, the results of analyzing the performance indicators of the radome are obtained. If they do not meet the requirements, redundant nodes in the polygonal range corresponding to the far-field field value of the radome are deleted, and the second far-field radiation pattern range of the radome is updated until the electrical performance indicators of the radome meet the preset requirements.

10. A device for analyzing the electrical performance of an antenna radome based on polygon vertex control, characterized in that, include: The data acquisition unit is used to randomly generate multiple sets of radome thickness error distributions based on the preset range of variation of radome thickness values. The first variation range acquisition module is used to calculate the first far-field radiation pattern range of the radome corresponding to multiple sets of radome thickness error distributions based on the structural parameters and material parameters of the radome, and extract the first variation range of the radome's performance indicators from the first far-field radiation pattern range. The conversion module is used to calculate the amplitude and phase variation range of the transmission coefficient at each point on the radome, and obtain the sector interval formed by the transmission coefficient at each point on the radome in the complex domain. The sector-shaped interval formed by the transmission coefficient at each point on the radome in the complex domain is divided into a polygonal interval in the real domain; based on the polygonal interval of the transmission coefficient at each point on the radome in the real domain, the polygonal interval corresponding to the far-field value of the radome is obtained. The second variation range acquisition module is used to delete redundant vertices of the polygonal interval corresponding to the far-field value of the radome, sum the polygonal intervals corresponding to the far-field value of the radome after deleting redundant vertices, obtain the second far-field radiation pattern interval of the radome, and extract the second variation range of the radome's performance index from the second far-field radiation pattern interval. The analysis module is used to compare the first variation range and the second variation range to analyze the performance indicators of the radome.

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