平面介质结构格林函数的快速计算

Accelerative Method of Green's Function Computation for Planar Dielectric Layers

提出了一种平面介质结构格林函数的快速计算方法 ,得到了由有限项级数和简单超越函数构成的闭合形式格林函数 .新算法不仅形式简单 ,便于数学处理和编程 ,而且使用方便 ,不需要任何数学预处理 .文中还给出了截断项数的选取方式和误差分析 .

An accelerative method of Green's function computation for planar dielectric layers was proposed. The Green's function is expressed in terms of a closed form which consists of a series with finite term and simple transcendent functions. The form is not only simple and easy to be coded, but also has no requirement of any mathematical pretreatment. The way to determine the truncated number for a given error was also presented.