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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.
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Keywords:
- electromagnetic scattering /
- method of moments /
- characteristic basis function method /
- adaptive cross approximation
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[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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[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 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 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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