微带结构索莫非积分的快速精确计算  

Efficient and Accurate Analysis of Sommerfeld Integral for Microstrip Structure

作　　者：郑文泉[1] 万国宾[1] 秦涛[1] 赵雨辰[1] 

机构地区：[1]西北工业大学电子信息学院,陕西西安710129

出　　处：《计算机仿真》2013年第11期260-263,296,共5页Computer Simulation

摘　　要：格林函数法是电磁场数值分析中的一种基本方法,平面分层微带结构的空域格林函数通常表达成索莫非积分形式,然而直接数值计算索莫非积分非常耗时。针对上述问题,提出了一种快速精确求解微带结构索莫非积分的方法。根据数值分析理论,严格分析了索莫非积分的函数特性;将复化高斯勒让德公式与双指数型求积公式相结合,提出一种快速精确求解索莫非积分的方法,实现了空域格林函数的高效精确计算。最后通过计算磁流环馈电单层介质激励电场函数、单层无耗介质以及四层有耗介质微带结构的空域格林函数三个实例,证明了改进方法的正确性和有效性。Green＇ s function formulation is a popular approach in electromagnetic numerical analysis. The Green＇ s functions for multilayer microstrip structure are traditionally represented by Sommerfeld integral in spatial domain, however it is a time-consuming work to calculate the integral directly. In the paper, an efficient and accurate analysis method for computing $ommerfeld integral of microstrip structure was proposed. In this paper, characteristics of Som- merfeld integral were rigorously analyzed based on numerical analysis theory. Based on this, a fast and accurate ap- proach was proposed for calculating Sommerfeld integral through complex Gauss-Legendre integral formula combined with double exponential-type quadrature. Using the proposed method, spatial-domain Green＇ s function for micros- trip structure can be calculated efficiently and accurately. Numerical examples of electric field function excited by magnetic current frill and spatial-domain Green＇ s function for different geometries were given to verify the method.

关 键 词：索莫非积分 复化高斯勒让德积分公式 双指数型求积公式 空域格林函数 

分 类 号：TN821[电子电信—信息与通信工程]