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同心圆柱和同心球壳中格林函数
引用本文:吕善伟.同心圆柱和同心球壳中格林函数[J].北京航空航天大学学报,1996,22(1):6-10.
作者姓名:吕善伟
作者单位:北京航空航天大学电子工程系
摘    要:用分离变量、傅里叶变换和留数定理导出了同轴线内外导体之间的格林函数;用分离变量和正交函数傅里叶级数展开导出二个不同半径的金属同心球壳中格林函数,获得的格林函数解析表达式能够方便地用于求解同轴线中和同心球壳中具有分布源的非齐次波动方程。

关 键 词:格林函数  电磁场  圆柱面壳  球壳

GREEN'S FUNCTIONS IN COAXIAL CYLINDER AND CONCENTRIC SPHERE
Lu Shanwei.GREEN''''S FUNCTIONS IN COAXIAL CYLINDER AND CONCENTRIC SPHERE[J].Journal of Beijing University of Aeronautics and Astronautics,1996,22(1):6-10.
Authors:Lu Shanwei
Abstract:The Green's functions in the regions between inner and outer conducting cylindrical surfaces,and between concentric conducting spherical surfaces with two different radio are derived by applying the method of separation of variables,Fourier transform,and residue theory for coaxial cylinder and using separating variable,Fourier expansion orthogonal function for concetric sphere,respectively. The analytical expressions of the Greece function obtained can be conveniently applied to the solution to inhomogeneous wave equation.With a distributed source in the coaxial line and concetric sphere.
Keywords:Green's function  differential equations  concentric  cylindrical shells  sphere
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