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平面分层媒质空域Green函数快速计算(Ⅰ) 被引量：3

Fast Computation of Spatial Green's Functions for Planar-Layered Media
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摘要 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DICM方法,数值计算结果显示文中方法的正确性。 Green＇s function formulation is a popular approach in electromagnetic numerical analysis.The Green＇s functions for multilayer media are traditionally represented by Sommerfeld integrals in spatial domain.In the paper several fast algorithms of closed-form Green＇s function are systematically analyzed and classified.According the up-to-date development,the traditional discrete complex image method（DCIM）,two-level DCIM,enhanced DCIM,cylindrical wave approximation,branch-cut integration and other methods are illustrated.The main advantages and disadvantages for various methods are elucidated.The problems of error metric,order selection,dimensions and lossy media are presented when closed-form Green＇s function obtained are applied to electromagnetic scattering and radiation.Finally a simple but convenient modified DCIM for lossy media is provided.Numerical results demonstrate the correctness of this method.
作者 尹成友
机构地区 解放军电子工程学院脉冲功率激光国家重点实验室
出处 《微波学报》 CSCD 北大核心 2012年第2期1-8,共8页 Journal of Microwaves
基金 武器装备预研基金项目
关键词 Sommerfeld积分 格林函数闭式解 离散复镜像法 平面分层媒质 Sommerfeld integrals closed-form Green＇s function（CFGF） discrete complex image method（DCIM） planar multilayer media
分类号 O174 [理学—基础数学] TM15 [电气工程—电工理论与新技术]
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同被引文献15

  • 1于继军,盛新庆.地下三维目标电磁散射的矩量法计算[J].电子与信息学报,2006,28(5):950-954. 被引量：3
  • 2张云华,肖伯勋,朱国强.一种快速计算分层媒质中三维目标电磁散射的方法[J].武汉大学学报（理学版）,2007,53(1):119-122. 被引量：2
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  • 10Holm P D. Wide-angle shift-map PE for a piecewise lin- ear terrain--a finite-difference approach [J]. IEEE Trans Antennas Propag, 2007,10: 2773-2789.

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微波学报
2012年 第2期

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