A method for stably solving an electric field integral equation in a time domain

An integral equation and time-domain electric field technology, which is applied in the field of stable solution of time-domain electric field integral equation, can solve the limitation of the application of time-domain electric field integral equation, the cumbersome solution of the time-domain electric field integral equation by the method of moments, and the inability of the stability of algorithm timing advancement Guaranteed issues such as avoiding large structural matrices, wide applicability, and easy numerical implementation

Inactive Publication Date: 2018-12-11
苏州峰极电磁科技有限公司
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Problems solved by technology

This makes the method of moments solution to the electric field integral equation in the time domain quite cumbersome
In addition, the method of moments to solve the time-domain electric field integral equation also involves the solution of the structural matrix. When there are too many subdivided units, the timing advancement stability of the algorithm cannot be guaranteed
These reasons limit the application of the time-domain electric field integral equation

Method used

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  • A method for stably solving an electric field integral equation in a time domain
  • A method for stably solving an electric field integral equation in a time domain
  • A method for stably solving an electric field integral equation in a time domain

Examples

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Effect test

example 1

[0096] Example 1. Radiation problem of wire antenna with center feed

[0097] The length of the central feed antenna is L=1m, the ratio of the antenna radius to the length is 0.00667, the antenna is excited by a Gaussian pulse, and the pulse voltage is

[0098]

[0099] in, a =1.5×10 9 sec -1 , t max =1.43×10 -9 sec,

[0100] The time-domain electric field integral equation of the thin line structure is solved by the time-domain moment method and the finite difference method respectively, and the current-time waveform at the feed source is obtained, as shown in image 3 It can be seen from the figure that the calculation results are in good agreement (relative error is less than 5%), indicating that the constructed finite difference method for solving the time-domain electric field integral equation is effective for calculating the radiation characteristics of wire antennas.

example 2

[0101] Example 2. Scattering of electromagnetic pulse by wire antenna

[0102] The geometric parameters of the wire antenna are the same as those in Calculation Example 1. The antenna is irradiated vertically by the Gaussian pulse, and the direction of the electric field is the same as that of the antenna (along direction) are the same. The pulsed electric field is

[0103]

[0104] in, a =1.5×10 9 sec -1 , t max =1.43×10 -9 sec,

[0105] The time-domain electric field integral equation of the thin wire structure is solved by the method of moments and the finite difference method respectively, and the time waveform of the current at the center of the antenna is obtained, as shown in Figure 4 It can be seen from the figure that the calculation results are still in good agreement, which further illustrates the effectiveness of the constructed finite difference scheme.

example 3

[0106] Example 3. Scattering of electromagnetic pulse by loop antenna

[0107] For a loop antenna, the direction of propagation of the incident electromagnetic pulse is perpendicular to the plane of the loop, Figure 5 , Figure 6 The current time response waveform of the loop antenna and the waveform of the axial scattering field calculated by the finite difference method are respectively given. The parameters of the incident pulse are the same as in Example 2. The ratio of the line radius to the ring radius is 10-3, and the ring circumference p=2m. Compared with the literature, the two are consistent.

[0108]A method for stably solving the time-domain electric field integral equation disclosed by the present invention does not need to introduce expansion functions, and directly performs differential dispersion on the time and space differentials of unknown currents, and then time advances to solve them, which avoids the introduction of expansion functions into the time-do...

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Abstract

A method for stably solving an electric field integral equation in a time domain is disclosed. Another form of a thin-line time-domain electric field integral equation suitable for a finite differencesolution is deduced, and in the fine wire structure, symbols shown in the description are considered to be the line current and charge density respectively. The invention does not need to introduce an expansion function, directly discretizes the temporal and spatial differentials of the unknown current, and further advances the solution in time.

Description

technical field [0001] The invention relates to the technical field of electromagnetic field numerical simulation, in particular to a method for stably solving a time-domain electric field integral equation. Background technique [0002] The time-domain electric field integral equation is an important equation for studying electromagnetic radiation and scattering, and it has high computational efficiency especially when dealing with thin-line structures. The high efficiency of the time-domain electric field integral equation in dealing with thin-line structures is due to the fact that only the scatterers need to be subdivided using this method, and the subdivision does not have to be pushed to the entire computational domain. [0003] The solution of the time-domain electric field integral equation generally adopts the time-domain moment method, through the construction of the expansion function (basis function) and the experimental function (weight function), to obtain the ...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F17/12
CPCG06F17/12
Inventor 赵涛宁
Owner 苏州峰极电磁科技有限公司
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