两层旋电磁介质球电磁散射的球矢量波函数解

在均匀旋电磁介质球矢量波函数的基础上,利用球Bessel函数的特性,给出了两层旋电磁介质球内的电磁场用波函数表示的表达式. 在平面波入射情况下,应用电磁场在球边界上切向电场和磁场连续与远区辐射条件,导出了两层各向异性旋电磁介质中电磁场用矢量波函数表示的展开函数所满足的方程组,求出了两层旋电磁介质球的散射场用均匀各向同性波函数展开的展开系数,进而得出了两层旋电磁介质球对平面波的电磁散射特性. 理论分析和数值计算的结果表明:当两层旋电磁介质球的媒质参数相同时,本文所得的结果可退化为单层各向异性旋电磁体解析解.

Spherical vector wave function solution to a plane wave scattering by two concentric gyrotropic anisotropic spheres

On the basis of spherical vector wave functions(SVWF) in homogeneous gyrotropic anisotropic medium, the first, second spherical Bessel functions are given, satisfying the same differential equation and recursive formula, the electromagnetic fields in two concentric gyrotropic anisotropic spheres, and free space can be expressed in terms of SVWFs in anisotropic gyrotropic medium and free space. Applying the continue boundary conditions of electromagnetic fields in the interface of the gyrotropic anisotropic spherical shell, the coefficients equations of electromagnetic fields in terms of SVWF in two concentric gyrotropic anisotropic spheres and scattering fields in free space are derived. Numerical results for the very general gyrotropic dielectric media are obtained and those in a special case are compared between the present method and the homogeneous gyrotropic sphere where the parameters of two concentric gyrotropic anisotropic spheres are the same.