应用改进的特征基函数法和自适应交叉近似算法快速分析导体目标电磁散射特性

王仲根; 孙玉发; 王国华

doi:10.7498/aps.62.204102

摘要

特征基函数的构造是特征基函数法的关键步骤之一, 传统方法在构造特征基函数时, 需要在每个子域设置足够多的入射波激励, 生成的特征基函数个数较多, 奇异值分解时间较长. 为了加快特征基函数的构造, 本文提出了一种改进的特征基函数法. 该方法充分考虑每个子域之间的耦合作用, 求出每个子域的次要特征基函数, 从而降低入射波激励的个数, 大大减少了特征基函数的个数; 并且结合自适应交叉近似算法加速阻抗矩阵元素的计算, 提高了次要特征基函数求解和缩减矩阵构建过程中的矩阵矢量相乘的速度. 数值结果证明了本文方法的精确性和高效性.

关键词:

Abstract

Constructing characteristic basis functions (CBFs) is a key step of characteristic basis function method (CBFM). But it is required to set adequate plane wave excitations in each sub-block, which leads to the increased number of characteristic basis functions and the longer time consumed in singular value decomposition of traditional method. In order to accelerate the construction of CBFs, an improved CBFM is presented, which fully considers the mutual coupling effects among sub-blocks and then the secondary level characteristic basis function (SCBF) is obtained, therefore the number of plane wave excitations is reduced greatly, and so is the number of characteristic basis functions. The adaptive cross approximation algorithm is also used to accelerate the matrix-vector multiplication procedure of generating SCBF and constructing the reduced matrix. Numerical results demonstrate that the proposed method is accurate and efficient.

Keywords:

作者及机构信息

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.
安徽理工大学电气与信息工程学院, 淮南 232001

基金项目: 国家自然科学基金(批准号: 61172020)、高等学校博士学科点专项科研基金(批准号: 20123401110006)、安徽大学研究生学术创新基金 (批准号: 10117700470)和安徽大学211工程基金(批准号: ZYGG201202)资助的课题.

Authors and contacts

1.
Key Laboratory of Intelligent Computing and Signal Processing, Ministry of Education, Anhui University, Hefei 230039, China;

2.
College of Electrical and Information Engineering, Anhui University of Science and Technology, Huainan 232001, China

Funds: Project supported by the National Natural Science Foundation of China (Grant No. 61172020), the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20123401110006), the Academic Innovation Research for College Graduates of Anhui University, China (Grant No. 10117700470), and the Fund for 211 Project of Anhui University, China (Grant No. ZYGG201202).

参考文献

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[23]	Hu L, Li W L, Mittra R 2010 IEEE Trans. Antenn. Propag. 58 3086
[24]	Wang R, Guo L X, Ma J, Wu Z S 2009 Chin. Phys. B 18 1503
[25]	Bucci O M, Franceschetti G 1989 IEEE Trans. Antenn. Propag. 37 918
[26]	Bucci O M, Franceschetti G 1997 IEEE Trans. Antenn. Propag. 45 1445
[27]	Zhao K Z, Vouvakis M N, Lee J F 2005 IEEE Trans. Electromagn. Compat. 47 763

施引文献

[1]	Harrington R F 1993 Field Computation by Moment Methods (New York: IEEE)
[2]	Kang Y M, Xu J X, Xie Y 2005 Chin. Phys. B 14 1691
[3]	Wang A Q, Guo L X, Chai C 2011 Chin. Phys. B 20 050202
[4]	Cao X Y, Chen M S, Wu X L 2013 Chin. Phys. Lett. 30 028401
[5]	Wu H J, Jiang W K, Lu W B 2012 Acta Phys. Sin. 61 054301 (in Chinese) [吴海军, 蒋伟康, 鲁文波 2012 物理学报 61 054301]
[6]	Wang X B, Liang Z C, Wu Z S 2012 Acta Phys. Sin. 61 124104 (in Chinese) [王晓冰, 梁子长, 吴振森 2012 物理学报 61 124104]
[7]	Song J M, Lu C C, Chew W C 1997 IEEE Trans. Antenn. Propag. 45 1488
[8]	Li M M, Chen H, Chen R S 2010 Chin. J. Radio Sci. 25 127 (in Chinese) [李猛猛, 陈华, 陈如山 2010 电波科学学报 25 127]
[9]	Pan X M, Sheng X Q 2011 Chin. J. Radio Sci. 33 1690 (in Chinese) [潘小敏, 盛新庆 2011 电波科学学报 33 1690]
[10]	Ma J, Guo L X, Wang A Q 2009 Chin. Phys. B 18 3431
[11]	Nie X C, Yuan N, Li L W 2008 IEEE Trans. Antenn. Propag. 56 3526
[12]	Hu J, Wang X F, Nie Z P, Xiao Y H 2007 Chin. J. Radio Sci. 22 614 (in Chinese) [胡俊, 王晓峰, 聂在平, 肖运辉 2007 电波科学学报 22 614]
[13]	Chen X L, Gu C Q, Niu Z Y, Li Z 2012 IEEE Trans. Antenn. Propag. 60 1186
[14]	Prakash V V S, Mittra R 2003 Microw. Opt. Technol. Lett. 36 95
[15]	Sun Y F, Chan C H, Mittra R 2003 IEEE Antennas and Propagation Society International Symposium Columbus, June 22-27, 2003 p1068
[16]	Han G D, Gu C Q 2007 Microw. Opt. Technol. Lett. 49 2879
[17]	Lucente E, Monorchio A, Mittra R 2008 IEEE Trans. Antenn. Propag. 56 999
[18]	Delgado C, Mittra R 2008 IEEE Antenn. Wirel. Propag. Lett. 7 43
[19]	Hou Z G, Wang C, Dong C Z, Yin H C 2011 Syst. Engineer. Electron. 33 1458 (in Chinese) [侯兆国, 王超, 董纯柱, 殷红成 2011 系统工程与电子技术 33 1458]
[20]	Wang Q Q, Wang W, Liu Z W, Chen H, Fan Z H, Chen R S 2010 Syst. Engineer. Electron. 32 2103 (in Chinese) [王全全, 王唯, 刘志伟, 陈华, 樊振宏, 陈如山 2010 系统工程与电子技术 32 2103]
[21]	Gu J J, Gu C Q 2010 J. Microwave 26 7 (in Chinese) [顾晶晶, 顾长青 2010 微波学报 26 7]
[22]	Chen X L, Gu C Q, Niu Z Y, Li Z 2012 IEEE International Symposium on Antennas and Propagation & EM Theory Xi’an October 22-26, 2012 p1021
[23]	Hu L, Li W L, Mittra R 2010 IEEE Trans. Antenn. Propag. 58 3086
[24]	Wang R, Guo L X, Ma J, Wu Z S 2009 Chin. Phys. B 18 1503
[25]	Bucci O M, Franceschetti G 1989 IEEE Trans. Antenn. Propag. 37 918
[26]	Bucci O M, Franceschetti G 1997 IEEE Trans. Antenn. Propag. 45 1445
[27]	Zhao K Z, Vouvakis M N, Lee J F 2005 IEEE Trans. Electromagn. Compat. 47 763

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