应用压缩传感求解宽角度电磁散射问题

计算物理 ›› 2012, Vol. 29 ›› Issue (3): 394-398.

应用压缩传感求解宽角度电磁散射问题

杜红梅¹, 陈明生², 吴先良^1,2, 曹欣远¹

1. 安徽大学计算智能与信号处理教育部重点实验室, 合肥, 230039;
2. 合肥师范学院物理与电子工程系, 合肥, 230601

收稿日期:2011-08-08 修回日期:2011-10-07 出版日期:2012-05-25 发布日期:2012-05-25
通讯作者: 陈明生,E-mail:crash@ahu.edu.cn
作者简介:杜红梅(1986-),女,硕士,研究方向为电磁散射计算,E-mail:4991185@163.com
基金资助:
国家自然科学基金重点项目(60931002),国家自然科学基金(61001033);安徽高校省级自然科学研究重点项目(KJ2011A240);安徽省优秀青年基金(10040606Y08)资助项目

Compressive Sensing for Solution of Electromagnetic Scattering over Wide Angles

DU Hongmei¹, CHEN Mingsheng², WU Xianliang^1,2, CAO Xinyuan¹

1. Key Lab of Intelligent Computing & Signal Processing, Anhui University, Ministry of Education, Hefei 230039, China;
2. Department of Physics and Electronic Engineering, Hefei Normal University, Hefei 230601, China

Received:2011-08-08 Revised:2011-10-07 Online:2012-05-25 Published:2012-05-25

摘要/Abstract

摘要： 基于矩量法中阻抗矩阵与电磁波入射方向的无关性,引入压缩传感技术,构建一种全新的含有丰富角度信息的入射源.在该入射源照射下利用矩量法获得感应电流的测度,在数次测度之后,通过快速正交匹配追踪算法可恢复各个角度入射下的激励电流.与传统的矩量法相比,计算结果保持很高的精度,且计算时间减少为原来的三分之一,从而降低了宽角度电磁响应分析的计算复杂度.

关键词: 压缩传感, 矩量法, 宽角度电磁散射

Abstract: Based on a fact that impedance matrix in the method of moments(MoM) is independent of incident angles,a compressive sensing(CS) technique is introduced in constructing an incident source,in which much information about incident angle is included.Under the incident source,measurement of induced currents can be obtained with MoM.With orthogonal matching pursuit(OMP) technique,induced currents are reconstructed with few measurements.Compared with conventional MoM,high accuracy numerical results are obtained while computational time is reduced to one third.Computational complexity of wide angle electromagnetic scattering is reduced greatly.

Key words: compressive sensing, method of moments, wide-angle electromagnetic scattering

中图分类号:

O44
TM15

杜红梅, 陈明生, 吴先良, 曹欣远. 应用压缩传感求解宽角度电磁散射问题[J]. 计算物理, 2012, 29(3): 394-398.

DU Hongmei, CHEN Mingsheng, WU Xianliang, CAO Xinyuan. Compressive Sensing for Solution of Electromagnetic Scattering over Wide Angles[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2012, 29(3): 394-398.

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