An efficient approach for evaluating Sommerfeld integrals encountered in the problem of a current element radiating over lossy ground
An efficient approach for evaluating Sommerfeld integrals encountered in the problem of a current element radiating over lossy ground
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DOI：
10.1109/tap.1980.1142273
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发表时间：
1980
影响因子：
5.7
通讯作者：
P. Parhami;Y. Rahmat-Samii;R. Mittra
中科院分区：
文献类型：
--
作者：
P. Parhami;Y. Rahmat-Samii;R. Mittra
本文考虑了在有耗半空间上辐射的电流单元所引起的Sommerfeld积分的有效数值计算。研究了一种基于最陡下降法的积分技术。给出了计算积分路径变形所产生的极割和分支割贡献的具体方法。在此基础上开发了计算索默菲尔德积分的计算机程序。给出了该方法的数值结果和计算效率估计，并与文献中已有的其他工作进行了比较。
Efficient numerical evaluation of the Sommerfeld integrals, arising from the problem of a current element radiating over a lossy half-space, is considered. An integration technique based on the method of steepest descent is investigated. The details for computing possible pole and branch cut contributions resulting from the deformation of the path of integration are presented. A computer program for evaluating Sommerfeld integrals is developed on the analysis presented. Numerical results and estimates of computational efficiency of the method are given and a comparison with other available works in the literature is included.