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Gaussian Beam Scattering by Spherical Uniaxial Anisotropic Medium

Author: PengYong
Tutor: WuZhenSen
School: Xi'an University of Electronic Science and Technology
Course: Radio Physics
Keywords: Anisotropic Gaussian Spherical vector wave functions Electromagnetic Scattering Analytical solutions
CLC: TN011
Type: Master's thesis
Year: 2008
Downloads: 99
Quote: 2
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Abstract


Maxwell equations, and the electric field vector differential equations based on uniaxial anisotropic media, the use of the Fourier transform and spherical vector wave functions of the eigenvectors plane wave FACTOR expansion coefficients, deduced the uniaxial anisotropy medium ball in the electric field vector the analytical expression. Combined axis incident Gaussian beam and the scattered field expansion in spherical vector wave functions, using the boundary conditions, derived uniaxial anisotropy field and the expansion coefficients of the scattered field dielectric sphere, numerical analysis axis Gaussian beam incident under RCS spatial distribution, size parameters on the impact of the RCS, and the the beamwidth, εt and εz scattering cross section, obtained ε and μ RCS equality and uniaxial anisotropy conclusions the medium dual relationship still holds. Mie theory calculation results of the numerical results and the literature of the incident plane wave, XFDTD numerical results were compared with the degradation isotropic medium ball incident plane wave comparison, are found. Spherical vector wave function expansion combined with off-axis incident Gaussian beam and uniaxial medium ball analytical expression of the electric field, magnetic field, using the boundary conditions derived uniaxial anisotropy medium ball in the infield off-axis Gaussian beam irradiation and the expansion coefficients of the scattered field and RCS spatial distribution of the numerical results is given. Off-axis degree of particle size parameters, εt and εz scattering cross section. Degradation of the incident plane wave numerical calculation results and the existing literature comparing good agreement. In the uniaxial anisotropy medium spherical vector wave function theory on the basis of our preliminary study the uniaxial anisotropy dielectric sphere of non-parallel to the main optical axis incident Gaussian beam of electromagnetic scattering. In the main optical axis of the z 'axis of the coordinate system using the Maxwell equations in the uniaxial medium ball vector wave function and the Fourier transform, the eigen vector of the electric and magnetic fields are obtained by rotational transform to the incident beam Expand where spherical vector wave function of the infield spherical coordinate system, export expansion expression, and combined with the expansion of the incident Gaussian beam and the scattered field spherical vector wave functions, the uniaxial anisotropy medium ball field and the scattered field expansion coefficients of expression, through the degradation is parallel to the main optical axis of the incident to verify its correctness.

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CLC: > Industrial Technology > Radio electronics, telecommunications technology > General issues > Basic theory > Radio wave propagation,the propagation mechanism
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