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格林函数法是电磁场数值分析中的一种基本方法,平面分层媒质的空域格林函数通常表达成Sommer-feld积分形式。文中针对该问题快速求解的几种基本方法进行了系统分析,对各种分析方法进行了分类,根据研究进展情况,概述了传统离散复镜像法(DCIM)、二阶DCIM、增强型DCIM(EDCIM)、柱面波逼近和支割线积分以及其他方法,阐明了各种方法的优缺点;对计算得到的闭式Green函数在具体电磁散射与辐射计算中产生的误差控制、定阶、维数、媒质有耗问题进行了分析,给出了一种简便的有耗媒质DCIM方法,数值计算结果显示文中方法的正确性。
Green’s function method is a basic method in the numerical analysis of electromagnetic fields. The spatial Greenland function of planar stratified media is usually expressed as Sommer-feld integral form. In this paper, several basic methods to solve this problem are systematically analyzed, and the various analysis methods are classified. According to the research progress, the methods of traditional discrete complex image method (DCIM), second order DCIM, enhanced DCIM (EDCIM ), Cylindrical wave approximation and branch line integral, and other methods to illustrate the advantages and disadvantages of various methods. The error control, order, dimensionality of the calculated closed-form Green’s function in the specific electromagnetic scattering and radiation calculation , The problem of lossy media is analyzed. A simple and cost-effective DCIM method is presented. The numerical results show the correctness of the proposed method.