CN-116432376-B - Antenna housing electrical performance interval analysis method based on interpolation

CN116432376BCN 116432376 BCN116432376 BCN 116432376BCN-116432376-B

Abstract

The invention discloses an interpolation-based antenna housing electrical performance interval analysis method, which comprises the steps of randomly generating a plurality of groups of thickness error and relative dielectric constant error distribution values in a thickness error range and a relative dielectric constant error range of an antenna housing, drawing an antenna far-field pattern after housing addition, extracting a variation interval of an electrical performance index from the pattern, discretizing an incidence angle, a polarization angle, thickness and relative dielectric constant of each part on the antenna housing, calculating a transmission coefficient T M of a main polarization component according to discrete points, extracting a variation interval of amplitude and phase of T M , obtaining a sector interval formed by T M in a complex domain by interpolation, dividing the sector interval into polygon intervals, adding the polygon intervals, calculating the far-field pattern variation interval of the antenna housing, extracting the electrical performance index variation interval, judging whether the electrical performance index of the antenna housing meets preset requirements, if so, ending, and modifying the number of segments of a sector arc part until the electrical performance index variation interval meeting the preset requirements is obtained.

Inventors

XU WANYE
Wang Tongtian
YANG YAWEI
WU YUKUI
LI WEIHENG
WU KAI
LI PENG

Assignees

西安电子科技大学

Dates

Publication Date: 20260505
Application Date: 20221226

Claims (10)

1. The antenna housing electrical performance interval analysis method based on interpolation is characterized by comprising the following steps of: step 1, randomly generating a plurality of groups of thickness error and relative dielectric constant error distribution values in a thickness error range and a relative dielectric constant error range of the antenna housing; Step 2, calculating a far field generated by an aperture field after passing through the radome by combining structural parameters and material parameters of the radome, drawing a far field pattern of the radome, and extracting a change interval of an electrical performance index from the pattern; step 3, discretizing the incidence angle, polarization angle, thickness and relative dielectric constant of each part on the radome; step 4, calculating the transmission coefficient of the main polarization component according to the incidence angle, the polarization angle, the thickness and the relative dielectric constant discrete points obtained in the step 3 Extracting The amplitude and phase of the signal; Step 5, according to The variation interval of the amplitude and the phase of the pulse is obtained by interpolation Sector section formed in complex number domain; Step 6, will Dividing the formed sector section into polygonal sections, adjusting the end point sequence of the polygonal sections so that the starting point has the smallest imaginary part in a complex domain, and arranging all points according to the anticlockwise sequence surrounding the original sector; step 7, adding the polygonal intervals by using Minkowski summation, calculating a far-field pattern change interval of the radome, and extracting an electrical performance index change interval; And 8, comparing the electrical performance index change intervals of the radome extracted in the step 2 and the step7, judging whether the electrical performance index of the radome meets the preset requirement, if so, ending the analysis process of the electrical performance interval of the radome, otherwise, modifying the number of segments of the sector arc part, and repeating the steps 6-8 until the electrical performance index change interval meeting the preset requirement is obtained.
2. The method for analyzing the electrical performance interval of the radome based on interpolation according to claim 1, wherein the step 1 specifically comprises the following steps: step 1.1, establishing a geometric model of the radome according to structural characteristics of the radome, carrying out grid division on the model, and setting the grid side length as Wherein The number of grids is recorded as N for the wavelength of the antenna; Step 1.2, the thickness error range of the radome is set as Randomly generating N random numbers in the range according to uniform distribution; step 1.3, the relative dielectric constant error range of the radome is set as Randomly generating N random numbers in the range according to uniform distribution; And step 1.4, repeating the step 1.2 and the step 1.3 for a plurality of times to obtain a plurality of groups of random thickness errors and relative dielectric constant error distribution values corresponding to the grid number of the radome.
3. The method for analyzing the electrical performance interval of the radome based on interpolation according to claim 2, wherein the step 2 specifically comprises the following steps: step 2.1, taking the bottom surface center of the antenna housing as an origin and the bottom surface as an origin along the height of the antenna housing body The plane establishes a coordinate system The height of the cover body is along the z direction, wherein Is the aperture plane of the antenna, and is provided with a plurality of antenna holes, The aperture surface is the aperture surface after the antenna housing is penetrated; Step 2.2, calculating the transmission coefficient of the radome body according to the structural parameters and the material parameters of the radome And according to known antenna aperture fields Calculating the aperture field after passing through the radome ; Step 2.3 according to Calculating far field of covered antenna And drawing a far-field pattern, and extracting a gain G 1 , a main beam position B 1 and a first side lobe level S 1 electric performance index change interval from the far-field pattern.
4. The method of claim 3, wherein the step 2.2 specifically includes the steps of: 2.2.1, respectively representing components in x, y and z directions by i, j and k according to the coordinate system established in the step 2.1; step 2.2.2, according to the geometry of the radome and the incident aperture field, calculating the incident angles of each point on the radome And polarization angle The angle between the incident ray of electromagnetic wave and the normal line at the incident point is recorded as the incident angle The included angle between the polarization direction of electromagnetic wave and the incident plane is recorded as the polarization angle Wherein the incident plane is composed of an electromagnetic wave incident line and a normal line at an incident point; step 2.2.3, the loss tangent of the radome material is set 0 According to the thickness of the antenna housing Relative dielectric constant Calculating the transmission coefficient of horizontal polarization component at each point on the radome And transmission coefficient of vertical polarization component : Wherein, the , , , , , , , , , , These parameters are all intermediate variables, which are, 、 Respectively is 、 Is used for the control of the (c), 、 Respectively is 、 Is a phase of (2); Step 2.2.4, transmission coefficients according to the horizontal polarization component And transmission coefficient of vertical polarization component Obtaining the transmission coefficient of the main polarization component: Wherein, the Is an intermediate variable; step 2.2.5, calculating the aperture field after passing through the radome: 。
5. the method of claim 4, wherein the step 2.3 specifically includes the steps of: step 2.3.1, according to the aperture field after the antenna housing is penetrated Calculating far field generated by aperture field after transmitting antenna housing : Wherein, the 、 Is that the observation point P is in a rectangular coordinate system Is provided with a spherical coordinate angle of the center of the lens, As a function of the propagation constant in free space, , Is the wavelength of the antenna and, , Indicating the frequency of operation of the antenna, Representing the speed of light; step 2.3.2, generating a far field according to the aperture field after passing through the radome And drawing a far-field pattern of the covered antenna, and extracting a variation interval of the electric performance indexes of the gain G 1 , the main beam position B 1 and the first side lobe level S 1 from the pattern.
6. The method of claim 5, wherein the step 4 specifically includes the steps of: step 4.1, calculating the transmission coefficients of the horizontal polarization component and the vertical polarization component at each point on the radome according to the incidence angle, the thickness and the relative dielectric constant discrete values obtained in the step 3; step 4.2, calculating the transmission coefficient of the main polarization component of the radome by using the polarization angle discrete points obtained in the step 3 and the transmission coefficients of the horizontal polarization component and the vertical polarization component at each point on the radome obtained in the step 4.1, and extracting the amplitude variation interval of the main polarization component And a phase change section 。
7. The method for analyzing the electrical performance interval of the radome based on interpolation according to claim 6, wherein the step 5 specifically comprises the steps of: Step 5.1, adopting an interpolation 2 function, taking an incident angle and a polarization angle as interpolation parameters, respectively performing the following steps of Lower boundary of amplitude interval of (2) Upper boundary of amplitude interval Lower boundary of phase interval Upper boundary of phase interval Interpolation is carried out; step 5.2, transmitting the transmission coefficient of the main polarization component in the far field Amplitude of sector formed in formula The change interval is recorded as Phase of The change interval is recorded as The method is characterized by comprising the following steps: Wherein the method comprises the steps of , , Dividing the grid cell area; step 5.3, each point on the radome The formed amplitude variation interval And phase change interval In complex space constitute Is defined in the range of the sector.
8. The method for analyzing the electrical performance interval of the radome based on interpolation according to claim 7, wherein the step 6 specifically comprises the steps of: Step 6.1, four endpoints of the sector formed by the transmission coefficients of the principal polarization components 、、 And Coordinates of (c) And 、 And 、 And 、 And The following are provided: , , , , Wherein the method comprises the steps of And (3) with 、 And (3) with Corresponding to the arc part of the sector; Step 6.2 endpoint And (3) with Between which, And (3) with Between which, And (3) with Are connected by straight lines, and end points And (3) with The phase range of the sector section is divided into 10 parts by connecting the sector section with a tangent line section which surrounds the circular arc and is tangent to the circular arc, and each part corresponds to one segment of line section, so that the sector section is represented by a polygonal section, and the polygonal section is a polygonal section formed by transmission coefficients of main polarization components; And 6.3, sequentially adjusting the end points of the polygonal interval in the step 6.2 so that the starting point has the smallest imaginary part in the complex domain, and all points are arranged in a counterclockwise sequence around the original sector.
9. The method for analyzing the electrical performance interval of the radome based on interpolation according to claim 8, wherein the step 7 specifically comprises the steps of: step 7.1, carrying out polygon summation on the polygon intervals of the transmission coefficients of the main polarization components of the radome obtained in the step 6 one by one, and obtaining field value polygon intervals at each discrete point in the far-field directional diagram; And 7.2, calculating the amplitude values at all endpoints of the polygonal interval according to the field value polygonal interval at all discrete points in the far-field directional diagram, extracting the maximum value from the amplitude values to form the upper-definition of the far-field directional diagram, extracting the minimum value to form the lower-definition of the far-field directional diagram, then obtaining the change interval of the far-field directional diagram, and finally extracting the change interval of the gain G 2 , the main beam width B 2 and the first sidelobe level S 2 from the change interval.
10. The method of claim 9, wherein the step 7.1 specifically includes the steps of: Step 7.1.1, for any two polygon end point groups, respectively designated as And The synthesized polygon end points are noted as Taking temporary variables ; In step 7.1.2 of the method, , Wherein And Respectively synthesized polygonal end points Is used for the x and y coordinates of (c), And Respectively is Is used for the x and y coordinates of (c), And Respectively is X and y coordinates of (c); step 7.1.3, calculate the slave point Pointing point Included angle between vector of (c) and positive direction of abscissa And calculate the slave point Pointing to Included angle between vector of (c) and positive direction of abscissa If (if) Order in principle Otherwise let ; Step 7.1.4, if And is also provided with The summation process is finished, otherwise, the order Step 7.1.2 is entered.

Description

Antenna housing electrical performance interval analysis method based on interpolation Technical Field The invention belongs to the technical field of radar antennas, and relates to an interpolation-based antenna housing electrical performance interval analysis method. Background Radomes are wave-transparent shells that protect the antenna from the elements, either covers made of natural or artificial dielectric materials, or specially shaped electromagnetic windows made of truss-supported dielectric shells. The antenna housing with excellent design has the functions of protection, conductivity, reliability, concealment, decoration and the like, and can prolong the service life of each part of the whole system, reduce the service life cost and the operation cost, simplify the design, reduce the maintenance cost, ensure the accuracy of the surface and the position of the antenna and create a good working environment for antenna operators. However, the radome also affects the electromagnetic radiation of the ideal antenna, reducing the electrical performance of the ideal antenna. And under the influence of manufacturing error factors in the processing process and external environment factors in the service process, the design parameters of the radome always have certain deviation, so that the electrical performance of the radome deviates from the design value, and certain uncertainty exists. To ensure the normal and reliable operation of the radome, the uncertainty of the electrical performance of the radome under the action of error factors needs to be effectively and accurately predicted. From the geometrical optics point of view, the amplitude and phase of the electromagnetic wave can be influenced in the process of transmitting through the radome, and the influence of the radome is characterized by the transmission coefficient. Since the transmission coefficient of the radome is related to a plurality of parameters such as the shape, the thickness, the dielectric constant, etc., and the relation is complex, how to accurately evaluate the transmission coefficient and the electrical performance of the radome under the influence of the error is a very difficult problem. In the prior art, from the perspective of deriving the analysis expression of the transmission coefficient of the radome, a strict interval of partial parameters of the transmission coefficient of the radome is given, and because the expression of the transmission coefficient is extremely complex, the analysis expression interval of the transmission coefficient is often very rough, only one interval in the expression can be obtained, and the problem of expansibility still exists in the whole, so that the interval precision is insufficient. Disclosure of Invention The invention aims to provide an interpolation-based antenna housing electrical performance interval analysis method, which combines traversal and interpolation to obtain an accurate interval of antenna housing transmission coefficients, and improves antenna housing electrical performance interval analysis precision. The technical scheme adopted by the invention is that the antenna housing electrical performance interval analysis method based on interpolation comprises the following steps: step 1, randomly generating a plurality of groups of thickness error and relative dielectric constant error distribution values in a thickness error range and a relative dielectric constant error range of the antenna housing; Step 2, calculating a far field generated by an aperture field after passing through the radome by combining structural parameters and material parameters of the radome, drawing a far field pattern of the radome, and extracting a change interval of an electrical performance index from the pattern; step 3, discretizing the incidence angle, polarization angle, thickness and relative dielectric constant of each part on the radome; step 4, calculating the transmission coefficient of the main polarization component according to the incidence angle, the polarization angle, the thickness and the relative dielectric constant discrete points obtained in the step 3 ExtractingThe amplitude and phase of the signal; Step 5, according to The variation interval of the amplitude and the phase of the pulse is obtained by interpolationSector section formed in complex number domain; Step 6, will Dividing the formed sector section into polygon sections, adjusting the end point sequence of the polygon sections to ensure that the starting point has the smallest imaginary part in a complex domain, and arranging all points according to the anticlockwise sequence surrounding the original sector; step 7, adding the polygonal intervals by using Minkowski summation, calculating a far-field pattern change interval of the radome, and extracting an electrical performance index change interval; And 8, comparing the electrical performance index change intervals of the radome extracted in the step 2 and the st