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Method for accurately calculating electromagnetic scattering of bianisotropic medium ball

A bi-anisotropic, dielectric sphere technology, applied in computing, electrical digital data processing, special data processing applications, etc., can solve problems such as difficult analytical solutions

Inactive Publication Date: 2013-08-07
HANGZHOU DIANZI UNIV
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  • Abstract
  • Description
  • Claims
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Problems solved by technology

[0005] The doubly anisotropic medium makes the cross-coupling between the electric field and the magnetic field provided, and it is very difficult to solve the analytical solution for this kind of medium sphere
Therefore, there are very few studies on analytical solutions of electromagnetic scattering by bi-anisotropic dielectric spheres.

Method used

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  • Method for accurately calculating electromagnetic scattering of bianisotropic medium ball
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  • Method for accurately calculating electromagnetic scattering of bianisotropic medium ball

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Embodiment Construction

[0109] The present invention will be further described below in conjunction with drawings and embodiments.

[0110] A method for accurately calculating electromagnetic scattering of a double anisotropic dielectric sphere, comprising the following steps:

[0111] Assign values ​​to each tensor of the medium eigenequation:

[0112] Calculated by fortran , and output these two matrices to MATLAB

[0113] Calculate determinant in MATLAB

[0114] . Obtain an equation about k, and solve the unknown quantity k of this equation. The obtained solution is denoted as , Will Substitute into the equation to find . then pass and calculate .

[0115] To sum up, the inside of the dielectric sphere can be calculated, and the incident field is known, the incident field and the scattering field can be calculated through the boundary conditions to calculate the scattering field of the dielectric sphere, and then the radar cross section (RCS) can be obtained by the scatt...

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Abstract

The invention provides a method for accurately calculating electromagnetic scattering of a bianisotropic medium ball. The method comprises the steps of 1, using passive maxwell's equations and an intrinsic equation of a bianisotropic medium to deduce a differential equation of the magnetic induction intensity B; 2, expressing factors related to the B in the differential equation in the form of spherical vector wave functions, then using orthogonality properties of spherical vector wave functions M and N to obtain a parameter-contained matrix equation, firstly, calculating parameters of the matrix equation under the condition that the matrix equation meets a non-zero solution, and then substituting parameters into the parameter-contained matrix equation to obtain the non-zero solution of the matrix equation; and 3, constructing a new function, expressing the magnetic induction intensity B again through the new function, then an electromagnetic field inside the medium ball is calculated, and substituting the electromagnetic field inside the medium ball and an incident electromagnetic field and a scattering electromagnetic field outside the ball into boundary conditions to obtain a scattering matrix. The method is applicable to solving of the electromagnetic scattering of the bianisotropic medium ball of the small electrical size.

Description

technical field [0001] The invention belongs to the field of theoretical calculation of electromagnetic scattering, and in particular relates to a method for accurately calculating electromagnetic scattering of a bi-anisotropic medium sphere. Background technique [0002] The more traditional research method for solving electromagnetic scattering is the analytical method, which has always been the goal pursued by scientists. The so-called analytical research method is a method of closed-form mathematical solution, which is to directly find various mathematical equations derived from Maxwell's equations. Very effective for electromagnetic problems with certain boundary condition rules. Analytical solutions can provide more effective data for other numerical calculations, verify the correctness of numerical calculation results, and give clear physical concepts, so they have very important guiding significance. [0003] For media such as plasma and ferrite under the action...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F19/00
Inventor 耿友林翁海峰
Owner HANGZHOU DIANZI UNIV
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