## 宽带电磁散射的快速扫频分析技术

Title      Fast Sweep-frequency Analysis for  Wide-band Electromagnetic Scattering
Abstract
The accurate and efficient analysis of electromagnetic scattering of complex objects with electrically large size is urgently required by the quick development of technology for military and civil use. For most of the engineering application, the wide-band electromagnetic and angle scattering analysis is needed. Repeating solution at each frequency or angle takes a lot of time. Some methods for fast analysis for the wide-band electromagnetic scattering are proposed in this paper.
Method of moments is a numerical method for solving electromagnetic problems. Solving electric field integral equation by method of moments can accurately predict the RCS of complex targets. However, the calculation of electrically large objects is huge because of the need to solve the dense matrix. To solve the above problems, we combine the method of moments and the Taylor expansion method effectively. In such a manner, we can get the pre-filled matrix and accelerate the calculation of impedance matrix.At last, the Green's function method combined with multilevel fast multipole method approach （MLFMA）is investigated in this paper, and its superiority is verified by numerical examples. 源`自*六)维[论*文'网www.lwfree.cn
Keywords  electromagnetic scattering  method of moment  Green function  Taylor expansion  pre-filled matrix  multilevel fast multipole method

1    绪论 2
1.1    研究背景和意义 2
1.2    研究的历史和现状 2
1.3    本文的研究内容及章节安排 3
2计算电磁学的矩量法介绍 5
2.1  引言 5
2.2  矩量法的基本原理5
2.3  积分方程的离散6
2.3.1  基函数的选取6
2.3.2  测试函数的选取8
2.4  本章小节   8
3  格林函数展开结合矩量法快速扫频技术10
3.1  引言10
3.2  构造预填充矩阵10
3.3  奇异性处理方法13
3.3.1  电场积分方程奇异性处理13
3.3.2  磁场积分方程奇异性处理14
3.4  本章小节16
4  格林函数展开结合多层快速多极子算法的快速扫频技术 17
4.1  引言17
4.2  格林函数展开结合多层快速多极子算法基本原理17
4.3  数值算例分析22
4.4  本章小节26

1  绪论
1.1  研究背景和意义

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