Electromagnetic analysis method on the basis of matrix Taylor series expansion

A technology of Taylor series and electromagnetic analysis, applied in the field of electromagnetic analysis based on matrix Taylor series expansion, to achieve the effect of simple operation and faster speed

Active Publication Date: 2016-06-01
NANJING UNIV OF SCI & TECH
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

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Problems solved by technology

However, preconditioning techniques do not have obvious effects in all cases, so how to quickly solve large matrices is still imminent

Method used

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  • Electromagnetic analysis method on the basis of matrix Taylor series expansion
  • Electromagnetic analysis method on the basis of matrix Taylor series expansion
  • Electromagnetic analysis method on the basis of matrix Taylor series expansion

Examples

Experimental program
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Embodiment 1

[0040] In order to verify the correctness and effectiveness of this method, a numerical example is given below. All calculation examples are implemented on a personal computer with a main frequency of 2.83GHz and a memory of 8GB, and four cores are used for parallel computing.

[0041] Investigate the structure of a pure metal satellite, the structure is as follows figure 2 As shown, the incident wave frequency is 1.5GHz, and the incident wave angle is θ inc = 0°, φ inc = 0°. The number of unknowns is 579992, image 3 In order to give a comparison chart of the bi-station RCS calculation results of the method of the present invention and the multi-layer fast multipole method. where the viewing angle is, θ=0°~180°, it can be seen from the figure that the method of the present invention has very high precision.

[0042] Table 1 Comparison of iteration time and total solution time

[0043]

[0044] Table 1 provides the iterative time and the total solution time of the ...

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Abstract

The invention discloses an electromagnetic analysis method on the basis of matrix Taylor series expansion. The electromagnetic analysis method comprises the following steps: 1) carrying out target modeling and dispersing, determining strong interaction and weak interaction matrix ranges according to grouping information, and constructing a preconditioned matrix according to near field information; 2) using a strong interaction matrix to normalize an equation, carrying out the Taylor series expansion on the normalized equation, decomposing scattering current to be solved into one series of current summation forms, and gradually approximating to the scattering current through a nested solving method until solving accuracy is achieved; and 3) utilizing the scattering current obtained in 2) to determine a target radar scattering cross section. In a solving process, a sparse approximate inverse precondition is used to quicken an iteration process, and meanwhile, a fast multi-pole algorithm is used to quicken moment vector multiplication. The method has the characteristics of being quick in convergence.

Description

technical field [0001] The invention belongs to the technical field of electromagnetic scattering of targets, in particular to an electromagnetic analysis method based on matrix Taylor series expansion. Background technique [0002] The electromagnetic scattering characteristics of targets are of great significance in military affairs. The fast multipole method (MLFMA) can reduce the memory and time complexity to O(NlogN), greatly speeding up the calculation of the electromagnetic scattering characteristics analysis of electrically large targets. However, with the increase of the unknown quantity or the complexity of the target, the behavior of the matrix will become worse, so the equation is difficult to solve. Therefore, how to solve large matrices quickly and efficiently has attracted more and more attention. The commonly used large-scale equation solvers mainly include generalized minimum residual method (GMRES), conjugate gradient method (CG), etc. However, for some c...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F17/16
Inventor 丁大志陈如山樊振宏何姿
Owner NANJING UNIV OF SCI & TECH
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