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一种便于计算的多层媒质格林函数一般表达式
引用本文:李秀萍,徐晓文.一种便于计算的多层媒质格林函数一般表达式[J].北京理工大学学报(英文版),2001,10(4):376-382.
作者姓名:李秀萍  徐晓文
作者单位:北京理工大学,电子工程系,
基金项目:MinisterialLevelFoundation
摘    要:给出了多层媒质中的水平和垂直电、磁偶极子谱域标量位和矢量位格林函数的一种新型表达通式 ,并通过理论验证了表达式的正确性 .该表达式除了形式上比较简单之外 ,还可以方便地提取准静态项 .更重要的是该表达式便于向空域转化 ,并可以利用离散镜像理论进行计算 .通过几种不同多层媒质结构的数值计算再次验证了所给出的多层媒质中位格林函数的正确性 .

关 键 词:格林函数  多层媒质  索末菲积分  离散复镜像理论
收稿时间:2001/4/11 0:00:00

Multi-Layered Medium's General Green's Function Expression for Easily Calculating
LI Xiu ping and XU Xiao wen.Multi-Layered Medium''s General Green''s Function Expression for Easily Calculating[J].Journal of Beijing Institute of Technology,2001,10(4):376-382.
Authors:LI Xiu ping and XU Xiao wen
Affiliation:Dept. of Electronics Engineering, Beijing Institute of Technology, Beijing100081, China;Dept. of Electronics Engineering, Beijing Institute of Technology, Beijing100081, China
Abstract:New general expressions of spectral Green's functions for scalar and vector potentials of vertical and horizontal electric as well as magnetic dipoles in a multi layered medium are presented and verified theoretically. In addition to their simplicity, the quasi static images of these expressions can be extracted without any difficulty. It is the most important that the spatial Green's functions in representation of Sommerfeld integrals can be easily obtained by using discrete complex image theory. Some numerical results for different kinds of multi layered medium presented in the end are used to verify the correctness of the general expressions.
Keywords:Green's function  multi  layered medium  Sommerfeld integral  discrete complex image theory
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