通用级数法求解分层媒质中的电磁场

The Electromagnetic Field in Multimedia by a Universal Series Solution

研究了一种求解拉普拉斯方程和亥姆霍兹方程的通用级数法，给出了两种方程所描述的不同媒质中电磁场的统一级数表达式及确定级数项系数的方法，并用该级数法计算了几个示例，给出了计算结果．

A universal series solution for solving the Laplace's and Helmholtz equations is studied.The series expansions which describe the field in multimedia are given and the coefficients of the series are determined by making the errors on the boundaries a minimum using the least square mehtod.Neither the field region nor the boundary needs to be discretized. Several examples as well as the calculating results are given.