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An Accurate Method for Calculating Electromagnetic Scattering of Bi-Anisotropic Dielectric Spheres

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: 2016-04-06
HANGZHOU DIANZI UNIV
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  • Abstract
  • Description
  • Claims
  • Application Information

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Problems solved by technology

[0005] The double-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 of 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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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 scattering...

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Abstract

The invention proposes a method for accurately calculating electromagnetic scattering of double anisotropic dielectric spheres. The steps of the present invention are as follows: 1. Utilize the eigenequation of passive Maxwell's equations and double anisotropy medium to deduce the magnetic induction intensity B The differential equation of ; 2. Neutralize the differential equation B The related factors are expressed in the form of spherical vector wave function, and then use the spherical vector wave function M,N The orthogonal nature of the matrix equation can be obtained by using the matrix equation with parameters. Firstly, the parameters of the matrix equation are calculated by using the matrix equation to satisfy the non-zero solution conditions, and then the parameters are substituted back into the matrix equation with parameters to obtain the non-zero solution of the matrix equation. ; 3. Construct a new function, use the new function? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? Re-expression of magnetic flux density B， Furthermore, the electromagnetic field inside the dielectric sphere is obtained, and then the electromagnetic field inside the dielectric sphere, the incident electromagnetic field outside the sphere, and the scattered electromagnetic field are substituted into the boundary conditions to obtain the scattering matrix. The invention is suitable for solving the electromagnetic scattering of the bi-anisotropic dielectric sphere with small electrical size.

Description

Technical field [0001] The present invention is the field of electromagnetic scattering theory, and it involves a method of accurately calculating the electromagnetic scattering of the two -oriented heterosexual media. Background technique [0002] The traditional research method of solving electromagnetic scattering is the analysis method, which has always been the goal pursued by scientists.The so -called analytical research method is a method of closed -form mathematical answers, and it is a variety of mathematical equations exported by the Maxwell equation group.Electromagnetic problems with certain boundary condition rules are very effective.The analytical solution can provide more effective data for other numerical calculations, verify the correctness of numerical calculation results, and give clear physical concepts, so it has very important guiding significance. [0003] The plasma and iron oxygen under the action of constant magnetic fields, their electromagnetic charact...

Claims

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Application Information

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