The steepest descent fast multipole method (SDFMM) for solving combined field integral equation pertinent to rough surface scattering

M. El-Shenawee, V. Jandhyala, E. Michielssen, W. Chew
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引用次数: 13

Abstract

The objective of this work is to solve the combined field integral equation (CFIE) using the enhanced SDFMM to analyse electromagnetic scattering from practical random rough surfaces. For scattering problems involving low grazing incident waves, we found that the CFIE converges very fast compared with the EFIE, which converges very slowly for the same problem. Scattering at low grazing angles requires modeling of an infinite rough surface by a finite surface large enough such that the incident antenna beam excites no edge currents. In order to thoroughly investigate such a special scattering problem, a Monte Carlo simulation using many random surface realizations should be conducted which necessitates a fast converging and accurate technique such as the enhanced as SDFMM.
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求解粗糙表面散射联合场积分方程的最陡下降快速多极子法
本工作的目的是利用增强的SDFMM求解组合场积分方程(CFIE)来分析实际随机粗糙表面的电磁散射。对于低掠入射波的散射问题,我们发现CFIE的收敛速度比EFIE的收敛速度快,而EFIE的收敛速度很慢。低掠角下的散射需要用一个足够大的有限表面来模拟一个无限粗糙的表面,这样入射的天线波束就不会激发边缘电流。为了深入研究这种特殊的散射问题,需要使用多种随机表面实现进行蒙特卡罗模拟,这需要快速收敛和精确的技术,如增强的SDFMM。
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