Method for solving electromagnetic scattering of electric large object through wavelet moment method of centroid segmentation

A technology of electromagnetic scattering and wavelet moments, applied in the field of computational electromagnetics, to achieve the effect of reducing calculation time

Active Publication Date: 2020-02-07
HARBIN ENG UNIV
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

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Problems solved by technology

The expression of the elements of the impedance matrix becomes very simple and the elements can be calculated directly, wh

Method used

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  • Method for solving electromagnetic scattering of electric large object through wavelet moment method of centroid segmentation
  • Method for solving electromagnetic scattering of electric large object through wavelet moment method of centroid segmentation
  • Method for solving electromagnetic scattering of electric large object through wavelet moment method of centroid segmentation

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specific Embodiment 1

[0056] To calculate the electromagnetic scattering of an electrically large object, we first need to obtain the relationship between the scattered electric field and the induced current according to the potential function theory as follows

[0057]

[0058] where A(r) represents the magnetic vector position, Indicates the electric scale position, the expression of A(r)

[0059]

[0060] The expression is

[0061]

[0062] J(r) represents the equivalent current on the target surface, G(R) represents the Green's function in free space, where the Green's function is η is the wave impedance in free space, k is the propagation constant in free space, R is the distance from the field point to the origin, and the integration area is the surface where the source current is located, that is, the surface of the scatterer. Substitute (15) and (16) into (14) to get:

[0063]

[0064] L represents the operator for calculating the electric field radiation from the current...

specific Embodiment 2

[0083] Aiming at the problem that the impedance matrix formed when solving the electromagnetic scattering characteristics of electrically large objects is complex and difficult to solve directly, the present invention proposes a calculation method for efficiently filling and thinning the impedance matrix.

[0084] Establish the electric field integral equation based on an ideal conductor:

[0085] (1) Through the potential function theory, we can get the relationship between the scattered electric field and the induced current as follows:

[0086]

[0087] Among them, using the centroid segmentation method, the magnetic vector potential and electric scalar potential can be written as

[0088]

[0089]

[0090] Substituting equations (28) and (29) into (27), we can get

[0091]

[0092] (2) The boundary condition of the ideal conductor surface requires that the tangential component of the electric field at the conductor surface is zero, that is

[0093]

[0094...

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Abstract

The invention discloses a method for solving electromagnetic scattering of an electric large object through a wavelet moment method of centroid segmentation, and belongs to the field of computationalelectromagnetism in electromagnetic engineering. For aiming at problems in calculating electromagnetic scattering of an electrically large-size conductor target, formed matrix complexity, computational volume, errors are easy to occur; firstly, triangular discretization is carried out on a target surface by utilizing an RWG basis function; each original triangle is divided into nine same sub-triangles; nine same sub-triangles are efficiently filled with impedance matrix elements by adopting a centroid segmentation method; and further an impedance matrix without singularity in calculating is obtained; secondly, a sparse matrix generated by discrete wavelet transform is acted on the efficiently filled impedance matrix, and the dense impedance matrix is sparsified by using the multi-resolution and vanishing moment characteristics of a wavelet basic body, thereby reducing the calculation time. Simulation proves that the method provided by the invention can be used for quickly calculating the electromagnetic scattering characteristics of the electrically large object under the condition of ensuring the calculation precision.

Description

technical field [0001] The invention belongs to the field of computational electromagnetics in electromagnetic engineering, and in particular relates to a method for calculating the electromagnetic scattering of an electrically large object by using the wavelet moment method of centroid segmentation. Background technique [0002] As an algorithm for solving integral equations, the method of moments directly integrates and solves the source region without setting boundary conditions and does not generate dispersion errors, so it can accurately solve various electromagnetic field problems. However, it is limited by Green’s function and needs to solve Complicated matrix equations, especially when calculating the electromagnetic scattering of electrically large conductor targets, will form a full-rank dense matrix, which is complex to inverse, requires a large amount of calculation, and is prone to errors. Based on this, there are currently some literatures on the fast solution ...

Claims

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Application Information

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IPC IPC(8): G06F17/15G06F17/16
CPCG06F17/15G06F17/16Y02E60/00
Inventor 孙亚秀宋文良孙睿峰孙睿瀛
Owner HARBIN ENG UNIV
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