海伦方程矩量法分析

Method-of-Moments Analysis of Hallen Integral Equation

介绍了矩量法的基本思想,分析并详细推导了海伦积分方程的具体形式。分别对全域基、点匹配和分域基、点匹配法求解海伦方程的过程进行了分析,重点研究了海伦方程基于分域基的矩量法,提出了一种新的分段和匹配方法,通过实际计算,比较了全域基与分域基计算结果。对广义阻抗矩阵的性态进行了重点研究,分析了导致数值结果不稳定的原因。

In this paper, the basic ideas of MoM are briefly presented, Hallen integral equation are analyzed and deduced. To process the global basis, point matching and domain basis, point matching method for solving Helen equation are analyzed, Focus on the method-of- Moments hased on domain basis, A new segmentation and matching method is proposed. And through the actual calculation, Compared with calculation results based on the global basis and domain basis. Properties of the impedance matrix is the key of the research, analysis of the causes leading to the numerical result unstable.