一般旋球的谱域解析散射理论
Analytical spectral-domain scattering theory of a general gyrotropic sphere
摘要：
本文提出了一种谱域解析散射理论，用递归积分形式的本征函数及其谱本征值/系数来模拟旋球的电磁场。应用自由空间与旋球表面上电磁场的连续边界条件，通过展开球矢量波本征函数，可以精确地得到旋球内部透射场和各向同性介质中散射场的谱系数。给出了几种典型情况下的数值计算结果，并与自适应积分法（AIM）的计算结果进行了比较。良好的一致性证明了所提出的解析散射理论的有效性，在频谱域中使用傅里叶变换的旋球。
英文摘要：
We propose an analytical scattering theory in spectral domain to model the electromagnetic (EM) fields of a gyrotropic sphere in terms of the eigen-functions and their associated spectral eigenvalues/coefficients in a recursive integral form. Applying the continuous boundary conditions of electromagnetic fields on the surface between the free space and gyrotropic sphere, the spectral coefficients of transmitted fields inside the gyrotropic sphere and the scattered fields in the isotropic host medium can be obtained exactly by expanding spherical vector wave eigenfunctions. Numerical results are provided for some representative cases, which are compared to the results from adaptive integral method (AIM). Good agreement demonstrates the validity of the proposed analytical scattering theory for gyrotropic spheres in spectral domain using Fourier transform.
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