单轴各向异性球对任意方向入射平面波的散射

Arbitrary direction incident plane wave scattering by a uniaxial anisotropic sphere

基于球矢量波函数的正交完备性,给出了具有任意传播方向两种极化模式的平面波用球矢量波函数展开的形式,导出了其展开系数的具体表达式.研究了单轴各向异性介质球对任意方向入射平面波的散射,利用球矢量波函数及傅里叶变换方法得到了各向异性介质球的内场展开式,结合切向连续边界条件给出了散射系数.数值分析了介电常数张量元、有耗、无耗、尺寸参数、入射角和方位角等对单轴各向异性介质球的雷达散射截面的影响.

Based on orthogonality of spherical vector wave functions（SVWFs）, the ex pansion coefficients of a plane wave, with arbitrary directions of propagation and polari zation, for both transverse magnetic and transverse electric modes are obtained in terms of spherical vector wave functions. The scattering of a uniaxial anisotropic sphere illu minated by an arbitrary direction incident plane wave investigated. The internal electro- magnetic fields in the anisotropic are expanded in terms of the SVWFs by introducing the Fourier Transform. By matching the fields on the boundary, the scattering coeffi cients are analytically derived. The effects of permittivity tensor elements, absorption, size parameter, incident angle and azimuth angle on the distribution of radar cross sec- tion are numerically analyzed in detail.