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屏蔽同轴圆柱分层介质的静态格林函数
引用本文:汤进龙,洪伟.屏蔽同轴圆柱分层介质的静态格林函数[J].东南大学学报(自然科学版),2002,32(4):541-546.
作者姓名:汤进龙  洪伟
作者单位:东南大学毫米波国家重点实验室,南京,210096
基金项目:国家杰出青年基金资助项目 (6962 5 10 2 )
摘    要:针对屏蔽同轴圆柱分层介质结构,给出格林函数的一般解析解,这种解以级数的形式来表示,具有形式简单可应用到任意多层介质的特点,公式的推导是通过先给出分层结构中含待定系数无穷级数的格林函数通式,然后利用边界条件与源条件,得到层与层之间的递归关系进而求解这些系数,这样的解为分析屏蔽同轴圆柱分层介质结构提供了一种新的有效工具。

关 键 词:屏蔽同轴圆柱  静态格林函数  分层介质  格林函数  递归关系  边值问题  电磁场
文章编号:1001-0505(2002)04-0541-06

Static Green's functions in coaxial cylinder with stratified media
Tang Jinlong,Hong Wei.Static Green''''s functions in coaxial cylinder with stratified media[J].Journal of Southeast University(Natural Science Edition),2002,32(4):541-546.
Authors:Tang Jinlong  Hong Wei
Abstract:A general formula for static Green's functions in coaxial cylinder with stratified media is presented. The analytical formula is expressed in series which is simple and applicable to arbitrary number of the dielectric layers. A general expression of Green's function in series with unknown coefficients in stratified media was provided firstly, and then those unknown coefficients were solved based on a technique by which a recurrence relation between layer and layer was developed using boundary condition and source condition. These general analytical solutions will provide a new and efficient tool to the analysis of a coaxial cylinder structure with stratified medium.
Keywords:stratified media  Green's function  recurrence relation  boundary  value problem  
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