Method for obtaining current distribution of spaceborne square ring antenna, computer device and computer readable storage medium

By decomposing the feed voltage and constructing a kernel function to calculate the phase sequence current and impedance of the spaceborne square ring antenna, the problem of current distribution and input impedance calculation in an anisotropic ionospheric environment is solved, thereby improving antenna efficiency and structural optimization.

CN115902344BActive Publication Date: 2026-04-07XIDIAN UNIV +1
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Patent Information

Authority / Receiving Office
CN · China
Patent Type
Patents(China)
Current Assignee / Owner
Filing Date
2022-09-28
Publication Date
2026-04-07

AI Technical Summary

Technical Problem

There is a lack of effective methods for calculating the current distribution and input impedance of existing spaceborne low-frequency square loop antennas in anisotropic ionospheric environments, which affects antenna efficiency optimization.

Method used

By obtaining the feed voltage of the spaceborne square ring antenna, decomposing it into phase sequence voltage, constructing a kernel function, and combining the wavenumbers of the O-wave and E-wave, the phase sequence current and current distribution are calculated, and finally the input impedance is obtained.

Benefits of technology

It provides accurate methods for current distribution and impedance calculation, improves antenna radiation efficiency, optimizes antenna structure, and provides theoretical guidance for practical engineering applications.

✦ Generated by Eureka AI based on patent content.

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Abstract

This application discloses a method for obtaining the current distribution of a spaceborne square ring antenna, as well as a computer device and a computer-readable storage medium. The current distribution acquisition method includes: step S100, obtaining the feed voltage of each antenna arm in the spaceborne square ring antenna and decomposing it to obtain the corresponding phase sequence voltage; step S200, constructing a kernel function corresponding to the phase sequence voltage, wherein the kernel function includes at least the wavenumbers of O-waves and E-waves in the ionosphere where the spaceborne square ring antenna is located; step S300, obtaining the phase sequence current of each antenna arm using the kernel function; and step S400, obtaining the current distribution of each antenna arm based on the phase sequence current.
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Description

Technical Field

[0001] This application relates to the field of electromagnetic field and antenna technology, and in particular to a method for obtaining the current distribution of a low-frequency signal transmitting square loop antenna for spaceborne applications, as well as computer equipment and computer-readable storage media. Background Technology

[0002] Currently, there are roughly two types of spaceborne low-frequency signal transmission systems: the design used by European and American countries employs slender antennas that can reach hundreds of meters or even tens of kilometers in length, while Russia uses large loop antennas. Considering that the efficiency of the transmitting antenna largely depends on the antenna's current distribution and input impedance, it is particularly important to optimize the antenna structure and size, and analyze and calculate the radiation efficiency of the spaceborne low-frequency transmitting antenna under different conditions in order to improve the efficiency of the spaceborne low-frequency transmission system.

[0003] However, under the influence of the Earth's magnetic field, the ionosphere where the spaceborne low-frequency square ring antenna is located exhibits strong anisotropic characteristics in its VLF (very low frequency) band. Currently, most calculations of current distribution and input impedance for square ring antennas focus on the case where the antenna is located in an isotropic medium, while there is a lack of specific and effective methods for calculating the antenna current and input impedance of spaceborne low-frequency square ring antennas located in anisotropic media. Summary of the Invention

[0004] Therefore, it is necessary to provide a method for obtaining current distribution and impedance in the ionospheric environment where spaceborne low-frequency square ring antennas are located, which can be applied to the above-mentioned technical problems.

[0005] A method for obtaining the current distribution of a spaceborne square loop antenna includes:

[0006] Step S100: Obtain the feed voltage of each antenna arm in the spaceborne square ring antenna, and obtain the corresponding phase sequence voltage through decomposition;

[0007] Step S200: Construct the kernel function corresponding to the phase sequence voltage. The kernel function includes at least the wavenumbers of O-waves and E-waves in the ionosphere where the spaceborne square ring antenna is located.

[0008] Step S300: Obtain the phase sequence current of each antenna arm using the kernel function;

[0009] Step S400: Obtain the current distribution of each antenna arm based on the phase sequence current.

[0010] Optionally, the phase sequence voltage is expressed as:

[0011] V (0) =(1 / 4)(V) 12 +V 23 +V 34 +V 41 )

[0012] V (1) =(1 / 4)(V) 12 -jV 23 -V 34 +jV 41 )

[0013] V (2) =(1 / 4)(V) 12 -V 23 +V 34 -V 41 )

[0014] V (3) =(1 / 4)(V) 12 +jV 23 -V 34 -jV 41 )

[0015] Where V (0) V (1) V (2) and V (3) These represent the zero-order, first-order, second-order, and third-order phase sequence voltages, V. 12 V 23 V 34 V 41 These represent the feed voltages of the four antenna arms in the spaceborne square ring antenna.

[0016] Optionally, the kernel function is:

[0017]

[0018] J0 is a zero-order Bessel function of the first kind;

[0019] λ is the transverse component of the wavenumber;

[0020] ρ mn The lateral component of the displacement from the observation point to the source point;

[0021] S mn This represents the integrand corresponding to the electric fields excited in different directions by the VLF electric dipole in the ionosphere;

[0022] D mn The longitudinal component of the displacement from the observation point to the source point;

[0023] k o and k e These are the wave numbers of the O wave and the E wave in step S200, respectively.

[0024] D mn ρ mn S mnWhen m and n in it are 1, 2, 3, and 4 respectively, D mn , ρ mn , S mn are respectively expressed as:

[0025] D 11 = z′ - z ρ 11 = a

[0026] D 12 = h + z ρ 12 = h + x′

[0027] D 13 = z′ - z μ 13 = 2h

[0028] D 14 = h - z ρ 14 = h + x′

[0029] D 21 = h + z′ ρ 21 = h + x

[0030] D 22 = a ρ 22 = x′ - x

[0031] D 23 = h + z′ ρ 23 = h - x

[0032] D 24 = 2h ρ 24 = x′ - x

[0033] D 31 = z′ - z ρ 31 = 2h

[0034] D 32 = h + z ρ 32 = h - x′

[0035] D 33 = z′ - z ρ 33 = a

[0036] D 34 = h - z ρ 34 = h - x′

[0037] D 41 =hz′ ρ 41 =h+x

[0038] D 42 =2h ρ 42 =x′-x

[0039] D 43 =hz′ ρ 43 =hx

[0040] D 44 =a ρ 44 =x′-x

[0041] in:

[0042] 'a' is the radius of the antenna arm;

[0043] h is half the length of the antenna arm;

[0044] z is the height of the observation point on the antenna surface relative to the center of the antenna;

[0045] z` is the height of the unit current element on the antenna relative to the center of the antenna;

[0046] x is the lateral distance between the observation point on the antenna surface and the center of the antenna;

[0047] x` is the lateral distance of a unit current element on the antenna relative to the antenna center. Optionally, the phase sequence current is expressed as:

[0048] (1) Phase zero:

[0049]

[0050] (2) First phase:

[0051]

[0052]

[0053] (3) Second phase:

[0054]

[0055] (4) Third phase:

[0056]

[0057]

[0058] Where β oand β e These are the phase constants for the O-wave and E-wave, respectively;

[0059] A o A e B o B e C o C e D o D e Let and represent the complex amplitudes of the O-wave and E-wave, respectively. Each complex amplitude is expressed as:

[0060] (1) Phase zero:

[0061]

[0062] For a 2×2 matrix, each element is represented as:

[0063]

[0064]

[0065]

[0066] (2) Second phase:

[0067]

[0068] For a 2×2 matrix, each element is represented as:

[0069]

[0070]

[0071]

[0072] (3) First phase and third phase:

[0073]

[0074] For a 4×4 matrix, each element is represented as:

[0075]

[0076]

[0077]

[0078] i is an imaginary number;

[0079] ω is the angular frequency;

[0080] μ0 is the vacuum permeability;

[0081] f is the phase sequence current distribution function.

[0082] Optional, also includes:

[0083] Step 500: Obtain the input impedance of the spaceborne square ring antenna based on the relationship between the feed voltage, current distribution and input impedance.

[0084] This application also provides a computer device, including a memory and a processor, wherein the memory stores a computer program, and the processor executes the computer program to implement the steps of the current distribution acquisition method described in this application.

[0085] This application also provides a computer-readable storage medium having a computer program stored thereon, wherein the computer program, when executed by a processor, implements the steps of the current distribution acquisition method described in this application.

[0086] This application proposes for the first time a method for calculating the current distribution and impedance of a square-loop antenna. The method is computationally efficient and highly accurate, providing theoretical guidance and a basis for the practical engineering applications of spaceborne very low frequency (VLF) antennas. By accurately calculating the current distribution and impedance of the square-loop antenna, the radiation efficiency of the antenna is evaluated, thus providing theoretical support for achieving optimal performance. A combination of analytical and numerical methods addresses the challenges of complex mathematical formulas and poor integral convergence caused by ionospheric anisotropy in the VLF band. Attached Figure Description

[0087] Figure 1 This is a schematic diagram of the structure of a spaceborne square ring antenna in one embodiment of this application;

[0088] Figure 2 This is a flowchart of a current distribution acquisition method in one embodiment of this application;

[0089] Figure 3 This is a schematic diagram of the current distribution in one embodiment of this application. Detailed Implementation

[0090] To make the objectives, technical solutions, and advantages of this application clearer, the following detailed description is provided in conjunction with the accompanying drawings and embodiments. It should be understood that the specific embodiments described herein are merely illustrative and not intended to limit the scope of this application.

[0091] Based on the anisotropic ionospheric environment in which the spaceborne low-frequency square loop antenna is located, this application accurately calculates the current distribution and input impedance of the loop antenna (which can be regarded as an antenna form consisting of four wire antenna arms fed at their apex) in this environment. It is particularly important to analyze and calculate the radiation efficiency of the spaceborne low-frequency transmitting antenna under different conditions, so as to provide theoretical guidance for improving the efficiency of the spaceborne low-frequency transmitting system and optimizing the antenna structure and size.

[0092] See Figure 1 , 2 This application provides a method for calculating the current distribution and impedance of a spaceborne square ring antenna in one embodiment, including the following steps:

[0093] Step S100: Obtain the feed voltage of each antenna arm in the spaceborne square ring antenna, and obtain the corresponding phase sequence voltage through decomposition;

[0094] Specifically, the phase mode expansion method can be used to measure the feed voltage V of the spaceborne square ring antenna arms 1-4 (Arm1~Arm4). 12 V 23 V 34 V 41 Decomposed into zero-order, first-order, second-order, and third-order phase sequence voltages V, respectively. (0) V (1) V (2) and V (3) :

[0095] V 12 =V (0) +V (1) +V (2) +V (3)

[0096] V 23 =V (0) +jV (1) -V (2) -jV (3)

[0097] V 34 =V (0) -V (1) +V (2) -V (3)

[0098] V 41 =V (0) -jV (1) -V (2) +jV (3)

[0099] Where j is an imaginary number, i.e., π / 2 phase, the phase sequence voltage V can be obtained after transformation. (0) V (1) V(2) and V (3) The expression:

[0100] V (0) =(1 / 4)(V) 12 +V 23 +V 34 +V 41 )

[0101] V (1) =(1 / 4)(V) 12 -jV 23 -V 34 +jV 41 )

[0102] VV (2) =(1 / 4)(V) 12 -V 23 +V 34 -V 41 )

[0103] V (3) =(1 / 4)(V) 12 +jV 23 -V 34 -jV 41 ).

[0104] Step S200: Construct the kernel function corresponding to the phase sequence voltage. The kernel function shall include at least the wavenumbers of O-waves and E-waves in the ionosphere where the spaceborne square ring antenna is located.

[0105] Regarding the derivation of the kernel function: Taking antenna arm 1 of a square ring antenna as an example, it can be considered as a single-wire antenna. The electromagnetic field excited by a single-wire antenna in an anisotropic ionosphere can be directly obtained through the line integral over the electric dipole, while the antenna kernel function can be obtained by solving for the near-field of the electric dipole in the anisotropic ionosphere. Therefore, the phase sequence voltage V obtained in step S100 can be used as a basis for the derivation. (0) V (1) V (2) and V (3) Find the corresponding kernel function K. (0) K (1) K (2) and K (3) .

[0106] First, based on the satellite's altitude, the electron density D and collision frequency v of the ionosphere surrounding the onboard square ring antenna are obtained.

[0107] D(Z) = 1.43 × 10 7 exp(-0.15Z)exp[β(ZH)]

[0108] v(Z) = 1.816 × 1011 exp(-0.15Z)

[0109] Z represents the satellite's altitude, measured in kilometers.

[0110] H is the effective reflectivity of the ionosphere, which is 70 km during the day and 87 km at night.

[0111] B is a coefficient, and this application uses a fixed coefficient β value of 0.3.

[0112] Then, due to the anisotropic nature of the ionosphere, the dielectric constant of the ionosphere is represented in matrix form. Using the ionospheric electron density D and collision frequency v obtained above, and combining them with the following formula, the dielectric constant in the ionosphere is obtained:

[0113]

[0114]

[0115]

[0116]

[0117] i is an imaginary number;

[0118] ω is the angular frequency (i.e., the operating frequency of electromagnetic waves);

[0119] v is the collision frequency;

[0120] D is the electron density;

[0121] B0 represents the geomagnetic field strength;

[0122] m e For electronic quality;

[0123] ε0 is the vacuum permittivity.

[0124] Consider the relative positional relationship between antenna arm 1 and antenna arms 2-4 (e.g. Figure 1 As shown), taking antenna arm 1 as an example, the tangential electric field on its surface is:

[0125]

[0126]

[0127] in:

[0128] j = 1 and 3, which are the electric fields radiated by antenna arms 1 and 3 located in the ionospheric plasma;

[0129] p = 2 and 4, representing the electric fields radiated by antenna arms 2 and 4 located in the ionospheric plasma; i.e., Ejz For the electric field radiated by the odd-numbered antenna arms; E pz The electric field radiated by even-numbered antenna arms.

[0130] I 1z The current is for antenna arm 1;

[0131] I 3z The current is for antenna arm 3;

[0132] I 2x The current is for antenna arm 2;

[0133] I 4x The current is for antenna arm 4;

[0134] ρ、 z represents cylindrical coordinates;

[0135] μ0 is the vacuum permeability.

[0136] The kernel function satisfied by the four antenna arms is written as follows:

[0137]

[0138] K mn This indicates the influence of antenna arm n on antenna arm m, where m and n are 1, 2, 3, and 4, respectively.

[0139] k z For the longitudinal component of the wavenumber;

[0140] S mn This represents the integrand corresponding to the electric fields excited in different directions by the VLF electric dipole in the ionosphere;

[0141] λ is the transverse component of the wavenumber;

[0142] The azimuth angle is the wave number.

[0143] B represents the denominator of the integral expression of the electric field excited by the VLF electric dipole in the ionosphere;

[0144] For details, please refer to equations (1)-(21) in He Tong’s paper “Current Distribution and Input Impedance of aVLF Linear Antenna in an Anisotropic Plasma”, where the current radiation expression is derived from the expression for conductive dipole radiation.

[0145] ρ mn This represents the lateral component of the displacement from the observation point to the source point; the source point is the spatial coordinate point where the field source is located; the observation point is any spatial coordinate point in the field.

[0146] J0 is a zero-order Bessel function of the first kind;

[0147] D mn This represents the longitudinal component of the displacement from the observation point to the source point.

[0148] When m and n are 1, 2, 3, and 4 respectively, D mn ρ mn S mn They can be represented as:

[0149]

[0150]

[0151] 'a' is the radius of the antenna arm;

[0152] h is half the length of the antenna arm;

[0153] z is the height of the observation point on the antenna surface relative to the center of the antenna;

[0154] z` is the height of the unit current element on the antenna relative to the center of the antenna;

[0155] x is the lateral distance between the observation point on the antenna surface and the center of the antenna;

[0156] x` is the lateral distance of a unit current element on the antenna relative to the center of the antenna.

[0157] Due to the anisotropic effects of the ionosphere, very low frequency electromagnetic waves will have two characteristic modes during propagation: ordinary waves (O-waves) and extraordinary waves (E-waves). Therefore, the kernel function can be rewritten as a combination of the contributions of O-waves and E-waves:

[0158]

[0159] Here k e and k o These are the unusual wave number (E wave) and the ordinary wave number (O wave), respectively.

[0160] Step S300: Obtain the phase sequence current of each antenna arm using a kernel function; where the phase sequence current is expressed as:

[0161] (1) Phase zero:

[0162]

[0163] (2) First phase:

[0164]

[0165]

[0166] (3) Second phase:

[0167]

[0168] (4) Third phase:

[0169]

[0170]

[0171] In various forms:

[0172]

[0173]

[0174]

[0175]

[0176]

[0177]

[0178]

[0179]

[0180] Where β o ,,β e These are the phase constants for the O-wave and E-wave, respectively;

[0181] f is the phase sequence current distribution function;

[0182] A o A e B o B e C o C e D o D e and represent the complex amplitudes of the O-wave and E-wave, respectively.

[0183] Once the kernel function of the square ring is determined, the phase sequence current can be obtained using the above formula.

[0184] In the above process, the analysis of the first and third phases can also refer to the analysis methods in Ronald King's "Theory of the Corner-Driven Square Loop Antenna".

[0185] Step S400: Obtain the current distribution of each antenna arm based on the phase sequence current.

[0186] The current distribution of each antenna arm is related to the phase sequence current; for example, the decomposed feed power supply will also excite the corresponding phase sequence current. The current distribution I1-I4 of antenna arms 1-4 of the spaceborne square ring antenna can also be decomposed into zero-order, first-order, second-order, and third-order phase sequence currents I0. (0) I (1) I (2 ) and I (3) After transformation, the phase sequence current I can be obtained. (0) I (1) I (2) and I (3) The expression:

[0187] I (0) =(1 / 4)(I1+I2+I3+I4)

[0188] I (1) =(1 / 4)(I1-jI2-I3-jI4)

[0189] I (2) =(1 / 4)(I1-I2+I3-I4)

[0190] I (3) =(1 / 4)(I1+jI2-I3-jI4).

[0191] After the transformation, the current distributions I1, I2, I3, and I4 of each antenna arm are as follows:

[0192] I1=I (0) +I (1) +I (2) +I (3) ,

[0193] I2=I (0) +jI (1) -I (2) -jI (3) ,

[0194] I3 = I (0) -I (1) +I (2) -I (3) ,

[0195] I4 = I (0) -jI (1) -I (2) +jI (3) ,

[0196] That is, the current distribution of each antenna arm can be obtained through the phase sequence current.

[0197] See also Figure 3This indicates that the antenna current is mainly concentrated in the center of the antenna arm and decreases towards both ends of the arm.

[0198] After obtaining the current distribution, we can obtain the corresponding input impedance. By continuously changing the antenna half-arm length parameter h, we can make the antenna input impedance reach an ideal condition to achieve the maximum radiation efficiency.

[0199] Step S500: Obtain the input impedance of the spaceborne square ring antenna based on the relationship between the feed voltage, current distribution and input impedance.

[0200] The input impedance of the antenna arm is Z1 to Z4. By combining the current distribution obtained in step S400 with the feed voltage obtained above, the input impedance of the spaceborne square ring antenna can be obtained.

[0201]

[0202] The method described in this application fills a gap in the calculation of current and impedance of square-loop antennas in anisotropic media to some extent. It has the advantages of clear physical meaning, short calculation time, and high calculation accuracy, and can be used for analysis and calculation in practical engineering.

[0203] It should be understood that, although Figure 2 The steps are shown sequentially as indicated by the arrows, but these steps are not necessarily executed in the order indicated by the arrows. Unless otherwise specified in this document, there is no strict order in which these steps are performed; they can be executed in other orders. Furthermore, Figure 2 At least some of the steps in the process may include multiple sub-steps or multiple stages. These sub-steps or stages are not necessarily completed at the same time, but can be executed at different times. The execution order of these sub-steps or stages is not necessarily sequential, but can be executed in turn or alternately with other steps or at least some of the sub-steps or stages of other steps.

[0204] In one embodiment, a computer device is provided, which may be a terminal. The computer device includes a processor, memory, a network interface, a display screen, and an input device connected via a system bus. The processor of the computer device provides computing and control capabilities. The memory of the computer device includes a non-volatile storage medium and internal memory. The non-volatile storage medium stores an operating system and computer programs. The internal memory provides an environment for the operation of the operating system and computer programs stored in the non-volatile storage medium. The network interface of the computer device is used for communication with external terminals via a network connection.

[0205] In one embodiment, a computer device is provided, including a memory and a processor, wherein the memory stores a computer program, and the processor executes the computer program to perform the following steps:

[0206] Step S100: Obtain the feed voltage of each antenna arm in the spaceborne square ring antenna, and obtain the corresponding phase sequence voltage through decomposition;

[0207] Step S200: Construct the kernel function corresponding to the phase sequence voltage. The kernel function includes at least the wavenumbers of O-waves and E-waves in the ionosphere where the spaceborne square ring antenna is located.

[0208] Step S300: Obtain the phase sequence current of each antenna arm using the kernel function;

[0209] Step S400: Obtain the current distribution of each antenna arm based on the phase sequence current.

[0210] For details on each step, please refer to the section above on methods for obtaining current distribution.

[0211] In one embodiment, a computer-readable storage medium is provided having a computer program stored thereon, the computer program performing the following steps when executed by a processor:

[0212] Step S100: Obtain the feed voltage of each antenna arm in the spaceborne square ring antenna, and obtain the corresponding phase sequence voltage through decomposition;

[0213] Step S200: Construct the kernel function corresponding to the phase sequence voltage. The kernel function includes at least the wavenumbers of O-waves and E-waves in the ionosphere where the spaceborne square ring antenna is located.

[0214] Step S300: Obtain the phase sequence current of each antenna arm using the kernel function;

[0215] Step S400: Obtain the current distribution of each antenna arm based on the phase sequence current.

[0216] For details on each step, please refer to the section above on methods for obtaining current distribution.

[0217] Those skilled in the art will understand that all or part of the processes in the methods of the above embodiments can be implemented by a computer program instructing related hardware. The computer program can be stored in a non-volatile computer-readable storage medium, and when executed, it can include the processes of the embodiments of the above methods. Any references to memory, storage, databases, or other media used in the embodiments provided in this application can include non-volatile and / or volatile memory. Non-volatile memory can include read-only memory (ROM), programmable ROM (PROM), electrically programmable ROM (EPROM), electrically erasable programmable ROM (EEPROM), or flash memory. Volatile memory can include random access memory (RAM) or external cache memory. By way of illustration and not limitation, RAM is available in various forms, such as static RAM (SRAM), dynamic RAM (DRAM), synchronous DRAM (SDRAM), dual data rate SDRAM (DDRSDRAM), enhanced SDRAM (ESDRAM), synchronous link DRAM (SLDRAM), RAMbus direct RAM (RDRAM), direct memory bus dynamic RAM (DRDRAM), and RAMbus dynamic RAM (RDRAM), etc.

[0218] The embodiments described above are merely illustrative of several implementation methods of this application, and while the descriptions are relatively specific and detailed, they should not be construed as limiting the scope of the invention patent. It should be noted that those skilled in the art can make various modifications and improvements without departing from the concept of this application, and these all fall within the protection scope of this application. Therefore, the protection scope of this patent application should be determined by the appended claims.

Claims

1. A method for obtaining the current distribution of a spaceborne square loop antenna, characterized in that, include: Step S100: Obtain the feed voltage of each antenna arm in the spaceborne square ring antenna, and obtain the corresponding phase sequence voltage through decomposition; Step S200: Construct the kernel function corresponding to the phase sequence voltage. The kernel function includes at least the wavenumbers of O-waves and E-waves in the ionosphere where the spaceborne square ring antenna is located. The kernel function is: J 0 represents a zero-order Bessel function of the first kind; λ is the transverse component of the wavenumber; ρ mn The lateral component of the displacement from the observation point to the source point; S mn This represents the integrand corresponding to the electric fields excited in different directions by the VLF electric dipole in the ionosphere; D mn The longitudinal component of the displacement from the observation point to the source point; k o and k e These are the wave numbers of the O wave and the E wave in step S200, respectively. Step S300: Obtain the phase sequence current of each antenna arm using the kernel function; Step S400: Obtain the current distribution of each antenna arm based on the phase sequence current.

2. The method for obtaining the current distribution of a spaceborne square loop antenna according to claim 1, characterized in that, The phase sequence voltage is expressed as: in V (0) , V (1) , V (2) and V (3) These are the zero-order, first-order, second-order, and third-order phase sequence voltages, respectively. V 12 , V 23 , V 34 , V 41 These represent the feed voltages of the four antenna arms in the spaceborne square ring antenna.

3. The method for obtaining the current distribution of a spaceborne square ring antenna according to claim 2, characterized in that, D mn , ρ mn , S mn In m , n When the values ​​are 1, 2, 3, and 4 respectively, D mn , ρ mn , S mn They are represented as follows: in: a The radius of the antenna arm; h This is half the length of the antenna arm; z The height of the observation point on the antenna surface relative to the center of the antenna; z` The height of a unit current element on the antenna relative to the center of the antenna; x This is the lateral distance between the observation point on the antenna surface and the center of the antenna; x` It represents the lateral distance of a unit current element on the antenna relative to the center of the antenna.

4. The method for obtaining the current distribution of a spaceborne square ring antenna according to claim 3, characterized in that, The phase sequence current is expressed as: (1) Phase zero: (2) First phase: (3) Second phase: (4) Third phase: in: in and These are the phase constants for the O-wave and E-wave, respectively; A o A e B o B e C o C e D o D e and represent the complex amplitudes of the O-wave and E-wave, respectively.

5. The method for obtaining the current distribution of a spaceborne square loop antenna according to claim 4, characterized in that, Each complex amplitude is represented as follows: (1) Phase zero: It is a 2 × 2 matrix, and each element is represented as: (2) Second phase: It is a 2 × 2 matrix, and each element is represented as: (3) First phase and third phase: It is a 4 × 4 matrix, and each element is represented as: i It is an imaginary number; ω Angular frequency; μ 0 represents the permeability of free space; f This is the phase sequence current distribution function.

6. The method for obtaining the current distribution of a spaceborne square ring antenna according to claim 1, characterized in that, In step S400, the current distribution of each antenna arm is calculated based on the phase sequence current. I 1. I 2. I 3 and I 4: And obtain the current distribution of each antenna arm.

7. The method for obtaining the current distribution of a spaceborne square loop antenna according to claim 1, characterized in that, Also includes: Step 500: Obtain the input impedance of the spaceborne square ring antenna based on the relationship between the feed voltage, current distribution and input impedance.

8. A computer device comprising a memory and a processor, wherein the memory stores a computer program, characterized in that, When the processor executes the computer program, it implements the steps of the current distribution acquisition method according to any one of claims 1 to 7.

9. A computer-readable storage medium having a computer program stored thereon, characterized in that, When the computer program is executed by the processor, it implements the steps of the current distribution acquisition method according to any one of claims 1 to 7.

Citation Information

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