一种分析多目标散射问题的区域分解方法

崔志伟; 韩一平; 于美平

doi:10.13443/j.cjors.2013082501

一种分析多目标散射问题的区域分解方法

西安电子科技大学物理与光电工程学院,陕西西安 710071

详细信息

通信作者:
崔志伟 E-mail: zwcui@mail.xidian.edu.cn

计量
- 文章访问数: 55
- HTML全文浏览量: 13
- PDF下载量: 11
出版历程
- 收稿日期: 2013-08-24
- 网络出版日期: 2020-12-30
- 发布日期: 2014-08-29

A domain decomposition method for scattering by multiple objects

School of Physics and Optoelectronic Engineering, Xidian University, Xi’an,Shaanxi 710071, China

摘要

摘要: 提出了一种用于分析复杂多目标散射问题的区域分解方法. 在该方法中，每个目标作为一个独立的计算区域采用矢量有限元方法进行分析；各个区域之间通过基于格林函数的边界积分方程进行耦合；所得到的耦合矩阵方程采用基于Foldy-Lax多径散射方程的特征基函数方法进行求解. 由于矢量有限元方法的灵活性，该区域分解方法特别适合于求解多个具有相同结构复杂目标的散射问题. 数值算例验证了该方法的准确性和处理复杂多目标散射问题的能力.
- 多目标 /
- 区域分解方法 /
- 有限元方法 /
- 边界积分方程 /
- 特征基函数方法
Abstract: A domain decomposition method (DDM) is presented by analyzing electromagnetic scattering problems involving multiple objects. In this method, each object is regarded as a sub-region that is dealt with by employing the vector finite element method. The sub-regions communicate through the boundary integral equation based on Green′s function. The coupling system of equations is solved by utilizing the characteristic basis function method. Due to the flexibility of vector finite element method, the present domain decomposition method(DDM) can easily deal with the problems of scattering by multiple complex objects with the same configuration. The validity and capability of the method is illustrated by numerical examples.
- multiple objects /
- domain decomposition method /
- finite element method /
- boundary integral equation /
- characteristic basis function method

HTML全文

参考文献(1)

CHAN C H, TSANG L. A sparse-matrix canonical-grid method for scattering by many scatterers[J]. Microwave and Optical Technology Letters, 1995, 8(2): 114-118.[2] SUN Y F, CHAN C H, MITTRA R, et al. Characteristic basis function method for solving large problem arising in dense medium scattering[C]// IEEE Antennas and Propagation Society International Symposium. Columbus, June 22-27, 2003: 1068-1071.[3]孙玉发, 张奕, 徐善驾, 等. 二维多导体柱电磁散射特性的特征基函数法分析[J]. 电波科学学报, 2006, 21(2): 229-232.SUN Yufa, ZHANG Yi,XU Shanjia, et al. EM scattering analysis of 2-D multiple conducting cylinders using characteristic basis function method[J]. Chinese Journal of Radio Science, 2006, 21(2): 229-232. (in Chinese)[4] LI L, HE J Q, LIU Z J, et al. MLFMA analysis of scattering from multiple targets in the presence of a half-space[J]. IEEE Transactions on Antennas and Propagation, 2003, 51(4): 810-819.[5] RUI X, HU J, NIE Z P. Solving scattering from multiple conducting objects by hybrid multi-level fast multi-pole algorithm with generalized forward-and-backward method [J]. Electromagnetics, 2008, 28(8):572-581.[6]芮锡, 胡俊, 聂在平. 基于多区迭代的多导体目标散射分析[J]. 系统工程与电子技术, 2008, 30(11): 2116-2118.RUI Xi, HU Jun, NIE Zaiping. Electromagnetic scattering analysis of multipole conductor by multi-region iterative method [J]. Systems Engineering and Electronics, 2008, 30(11): 2116-2118. (in Chinese)[7] ZHAO K Z, RAWAT V, LEE J F. A domain decomposition method for electromagnetic radiation and scattering analysis of multi-target problems[J]. IEEE Transactions on Antennas and Propagation, 2008, 56(8): 2211-2221.[8]孙玉发, 卢克, 王国华. 介质目标电磁散射特性的多层特征基函数法分析[J]. 电波科学学报, 2013, 28(1): 92-95.SUN Yufa, LU Ke, WANG Guohua. Analysis of electromagnetic scattering characteristics from dielectric objects using multilevel characteristic basis function method [J]. Chinese Journal of Radio Science, 2013, 28(1): 92-95. (in Chinese)[9] 王国华, 孙玉发, 于君之. 特征基函数法快速分析导体目标电磁散射特性[J]. 电波科学学报, 2013, 28(3): 438-442.WANG Guohua, SUN Yufa, YU Junzhi. Fast analysis on electromagnetic scattering characteristics of conducting targets using characteristic basis function method [J]. Chinese Journal of Radio Science, 2013, 28(3): 438-442. (in Chinese)[10] 盛新庆. 计算电磁学要论[M].2版. 合肥：中国科学技术大学出版社, 2008.[11] CUI Z W, HAN Y P, Zhao W J. Scattering of arbitrarily incident Gaussian beams by fractal soot aggregates [J]. Journal of Optics A: Pure and Applied Optics, 2012, 14(3): 035703