MOM/Lanczos-AWE算法快速求解良导体柱的RCS宽带与宽角响应

考虑导体柱的电磁散射 ,由于一般实际导体为良导体 ,若利用表面阻抗的边界条件 ,则良导体柱的电场积分方程 (EFIE)为第二类Fredholm积分方程 ;将矩量法 (MOM )应用到该积分方程时 ,该积分方程转化为第二类Fredholm矩阵方程。本文提出了一种求解第二类Fredholm矩阵方程的Lanczos AWE递归迭代快速算法 ,首先采用Lanczos技术快速求解在某一给定频率或角度时第二类Fredholm矩阵方程 ,得到在该频率或角度时良导体的表面电流分布 ;然后采用渐近波形估计 (AWE)技术求取所考虑的频段内任意频率或角度范围内任意角度时良导体的表面电流分布。根据表面电流分布预测了任意形状良导体柱的单站雷达散射截面 (RCS)的宽带与宽角响应。计算结果表明Lanczos AWE技术可大大加快MOM法的计算速度。

Fast Calculation of Broadband and Broad-Angular RCS for the Highly Conducting Cylinder Using MOM Based on Lanczos-AWE Technique

The electromagnetic (EM) scattering of the highly conducting cylinder is considered. It is seeing that an actual conductor is generally the highly conducting ones. The electric field integral equation (EFIE) of an arbitrarily shaped two-dimensional (2-D) highly conducting cylinder is the Fredholm integral equation of the second kind. The EFIE is changed into the Fredholm matrix equation of the second kind when the method of moment (MOM) is applied to the EFIE. A fast recursive and iterative algorithm is presented in this paper. To obtain the surface current distributions of the highly conducting cylinder at a given frequency or angular, the Fredholm matrix equation of the second kind is firstly fast calculated using Lanczos technique, and then the surface current distributions of the highly conducting cylinder at an arbitrarily frequency or angular in the interesting frequency or angular bands are obtained using AWE technique. The broadband or broad-angular responses of the mono-static radar cross-section (RCS) of an arbitrarily shaped two-dimensional highly conducting cylinder is predicted based on the surface current distributions. It was observed that the Lanczos-AWE technique could speed greatly up calculation of MOM.