微带结构Sommerfeld积分奇异性分析和表面波极点有效提取  

Singularity Analysis and Effective Determination of the Surface Wave Poles on Sommerfeld Integral for Microstrip Structure

作　　者：郑文泉[1] 万国宾[1] 秦涛[1] 程茜[1] 

机构地区：[1]西北工业大学电子信息学院,西安710129

出　　处：《微波学报》2012年第3期8-11,20,共5页Journal of Microwaves

基　　金：航空科学基金(20101853019)

摘　　要：提取表面波的DCIM能够准确计算无耗分层媒质中的空域格林函数。然而,多层媒质表面波极点的提取比较困难,并且此方法没有考虑侧面波在远区的作用。本文基于复变函数理论,严格分析了Sommerfeld积分极点和支点奇异性对远场的影响;将PSO(particle swarm optimization)与Newton-Raphson算法相结合,提出一种快速精确定位表面波极点的方法,并将其应用到提取表面波的三级DCIM,实现了分层媒质空域格林函数的准确计算。通过单层无耗介质和四层有耗介质微带结构空域格林函数的计算实例,证明了该方法的正确性和有效性。The discrete complex image method （DCIM） with handling surface waves could calculate the spatial-domain Green functions precisely for lossless media. However, it is difficult to extract surface wave poles in multilayered media and the effect of lateral waves in far field is not considered. In this paper, singularities of Sonmmerfeld integral are rigiously analyzed based on complex function theory; A fast and exact approach is proposed for seeking surface wave pales through PSO combined with New- ton-Raphson algorithm; Using this method, three level DCIM with handling surface waves could calculate the spatial-domain Green functions effectively for muhilayered media. Numerical examples of different geometries are given to verify the method.

关 键 词：表面波 侧面波 Sommerfeld积分 粒子群优化 三级DCIM(离散复镜像方法) 

分 类 号：TN820[电子电信—信息与通信工程]