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Method of moments (MOM) is a common numerical method for solving electromagnetics, which is used widely owing to its high accuracy. As the traditional MOM is applied to solving electromagnetic problem in both spatial and frequency domains, the matrix equation generated from the integral equation must be solved repeatedly since small spatial increments and frequency increments are both required. To resolve problems of this kind, the compressive sensing (CS) theory combined with the asymptotic waveform evaluation (AWE) is introduced to form a new efficient computational method. Firstly, a new incident source is constructed based on CS theory, in which much spatial information is included. Secondly, illuminated by the new incident source, the new equation is solved by AWE technique, and finally a fast implement is formed for solving electromagnetic scattering characteristics in both spatial and frequency domains.
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Keywords:
- electromagnetic scattering /
- method of moments /
- compressive sensing /
- asymptotic waveform evaluation
[1] Sheng X Q, Song W 2012 Essentials of Computational Electromagnetics (Singapore: Wiley-IEEE Press) p29
[2] [3] Xie C F, Wu X L 2002 Electromagnetic Scattering Theory and Computation. (Hefei: Anhui University Press) p8 (in Chinese)[谢处方, 吴先良电磁散射理论与计算(合肥: 安徽大学出版社)第8页]
[4] Wang A Q, Guo L X, Chai C 2011 Chin. Phys. B 20 050202
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[7] [8] Yang K, Yilmaz A E 2012 IEEE Trans. Geosci. Remote Sens. 50 1130
[9] [10] Zhao L, Cui T J 2007 Microw. Opt. Tech. Lett. 49 305
[11] [12] [13] Zhang X Y, Sheng X Q 2009 International Conference on Microwave Technology and Computational Electromagnetics Beijing China November 3-6 2009 p452
[14] [15] Du H M, Chen M S, Wu X L 2012 Acta Phys. Sin. 61 097201 (in Chinese)[杜红梅, 陈明生, 吴先良 2012 物理学报 61 097201]
[16] Fan Z H, Liu Z W, Ding D Z, Chen R S 2010 IEEE Trans. Ant. Prop. 58 2484
[17] [18] Ling J, Gong S X, Wang X, Lu B, Wang W T 2010 IEEE Ant. and Wire. Prop. Lett. 9 244
[19] [20] Wang Y, Wu Q, Wu Y M 2012 Chin. Phys. B 21 014212
[21] [22] [23] Schrder A, Brns H D, Schuster C 2012 IEEE Trans. Ant. Prop. 60 6058
[24] [25] Liu Z W, Chen R S, Ding D Z, Luo L 2011 J. Appl. Comput. Electromag. Soc. 26 696
[26] [27] Chen M S, Liu F L, Du H M 2011 IEEE Ant. and Wire. Prop. Lett. 10 1243
[28] [29] Qaisar S, Bilal R M, Lqbal W, Naureen M, Lee S 2013 J. Commun. and Networks 15 443
[30] Zhao S M, Zhuang P 2014 Chin. Phys. B 23 054203
[31] [32] Tropp J A, Gilbert A 2007 IEEE Trans. Inf. Theory 53 4655
[33] -
[1] Sheng X Q, Song W 2012 Essentials of Computational Electromagnetics (Singapore: Wiley-IEEE Press) p29
[2] [3] Xie C F, Wu X L 2002 Electromagnetic Scattering Theory and Computation. (Hefei: Anhui University Press) p8 (in Chinese)[谢处方, 吴先良电磁散射理论与计算(合肥: 安徽大学出版社)第8页]
[4] Wang A Q, Guo L X, Chai C 2011 Chin. Phys. B 20 050202
[5] [6] Hu J, Lu W C, Shao H R, Nie Z P 2012 IEEE Trans. Ant. Prop. 60 5709
[7] [8] Yang K, Yilmaz A E 2012 IEEE Trans. Geosci. Remote Sens. 50 1130
[9] [10] Zhao L, Cui T J 2007 Microw. Opt. Tech. Lett. 49 305
[11] [12] [13] Zhang X Y, Sheng X Q 2009 International Conference on Microwave Technology and Computational Electromagnetics Beijing China November 3-6 2009 p452
[14] [15] Du H M, Chen M S, Wu X L 2012 Acta Phys. Sin. 61 097201 (in Chinese)[杜红梅, 陈明生, 吴先良 2012 物理学报 61 097201]
[16] Fan Z H, Liu Z W, Ding D Z, Chen R S 2010 IEEE Trans. Ant. Prop. 58 2484
[17] [18] Ling J, Gong S X, Wang X, Lu B, Wang W T 2010 IEEE Ant. and Wire. Prop. Lett. 9 244
[19] [20] Wang Y, Wu Q, Wu Y M 2012 Chin. Phys. B 21 014212
[21] [22] [23] Schrder A, Brns H D, Schuster C 2012 IEEE Trans. Ant. Prop. 60 6058
[24] [25] Liu Z W, Chen R S, Ding D Z, Luo L 2011 J. Appl. Comput. Electromag. Soc. 26 696
[26] [27] Chen M S, Liu F L, Du H M 2011 IEEE Ant. and Wire. Prop. Lett. 10 1243
[28] [29] Qaisar S, Bilal R M, Lqbal W, Naureen M, Lee S 2013 J. Commun. and Networks 15 443
[30] Zhao S M, Zhuang P 2014 Chin. Phys. B 23 054203
[31] [32] Tropp J A, Gilbert A 2007 IEEE Trans. Inf. Theory 53 4655
[33]
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