两同心各向异性等离子体球电磁散射的解析解  

The Analytical Solution of Two Concentric Plasma Anisotropic Spheres Electromagnetic Scattering

作　　者：耿友林[1] 吴信宝 官伯然[3] 

机构地区：[1]西安电子科技大学电子工程学院,西安710071 [2]上海微波技术研究所,上海200063 [3]杭州电子科技大学天线与微波技术研究所,杭州310018

出　　处：《微波学报》2004年第4期1-6,共6页Journal of Microwaves

基　　金：浙江省教育厅 (2 0 0 3 0 65 0 );国家自然科学基金 (60 0 710 2 5 )资助项目

摘　　要：利用各向异性等离子体介质的电磁场满足各向异性等离子体球矢量波函数的条件 ,根据球Bessel函数的特点 ,分别给出两同心各向异性等离子体介质的球矢量波函数的解析表达式。在此基础上 ,应用电磁场在球边界上切向电场和磁场连续和远区辐射条件 ,导出在平面波入射情况下 ,两同心各向异性等离子体介质本征函数解的展开系数。理论分析和数值计算的结果表明 :当两同心等离子体球媒质参数相同时 ,本文所得的结果可退化为单层各向异性等离子体解析解。同时数值计算还给出了本方法与矩量法 -共扼梯度 -傅立叶变换 (MOM CG FFT)的比较结果 ,两者符合较好。On the basis of spherical vector wave functions in plasma anisotropic medium, the electromagnetic fields in two concentric plasma anisotropic spheres can be expanded in spherical vector wave functions. Applying the continuous boundary conditions of electromagnetic fields in plasma anisotropic spherical shell’s surface, the unknown expansion coefficients in two concentric spheres and the scattering field in free space by a plane wave can be derived. The theory and numerical results show that the present method can be degenerated to a single plasma anisotropic sphere when the two plasma anisotropic media have the same character. The numerical results of the present method and Method of Moments (MOM) speeded up with the Conjugate Gradient Fast Fourier Transform (CG FFT) approach are compared and they are in agreement with each other as we expected.

关 键 词：等离子体 解析解 矢量波函数 本征函数 各向异性 连续 平面波 电磁散射 矩量法 FFT 

分 类 号：TN011[电子电信—物理电子学] O441.4[理学—电磁学]