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As one of the most popular numerical methods, the method of moments (MoM) is known for its high accuracy. Besides, MoM has other advantages. For example, the integral equations satisfy the Sommerfeld radiation condition automatically, the additional boundary conditions are not needed., etc. But if the wide angle problem, especially the composite electromagnetic back scattering from a ship place on sea surface, is considered, the MoM needs to solve the integral equation at every incident angle, which needs a large calculating quantity, and is time consuming. To solve this problem, a new efficient method based on the compressive sensing and the MoM is proposed and validated in this paper. A new incident source derived through multiplying the transform matrix by the voltage matrix is first introduced. And then the measurements of the induced currents can be obtained by solving the integral equation under the new incident source. Finally the original electromagnetic currents can be recovered by using the recovery algorithms (the orthogonal matching pursuit is used in this paper). The validity and the efficiency of the new method are demonstrated by comparing with the traditional MoM.
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Keywords:
- compressive sensing /
- method of moments /
- ship /
- composite back scattering
[1] Wang X D, Gan Y B, Li L W 2003 IEEE Antennas Wirel. Propag. Lett. 2 319
[2] Wang X D, Li L W 2009 Prog. Electromagn. Res. 91 35
[3] Wang R, Guo L X, Wang A Q 2010 Acta Phys. Sin. 59 3179 (in Chinese) [王蕊, 郭立新, 王安琪 2010 物理学报 59 3179]
[4] Hestenes M R, Stiefel E 1952 J. Res. Nat. Bur. Stand. 49 409
[5] Rokhlin V 1990 Antennas and Propagation Symposium Digest Dallas, USA, May 7-11, 1990 p80
[6] Lu C C, Chew W C 1994 Microw. Opt. Technol. Lett. 7 466
[7] Song J M, Chew W C 1995 Microw. Opt. Technol. Lett. 10 14
[8] Wang A Q, Guo L X, Chai C 2011 Chin. Phys. B 20 050201
[9] Wang A Q, Guo L X, Wei Y W, Ma J 2012 Prog. Electromagn. Res. 130 85
[10] Pino M, Obelleiro F, Landesa L, Burkholder R 2000 Microw. Opt. Technol. Lett. 26 78
[11] Dehmollaian M, Biglary H 2012 IEEE International Symposium on Antennas and Propagation and USNC-URSI National Radio Science Meeting Chicago, United States, July 8-14, 2012 p1
[12] Sheng X Q, Yung E K N 2002 IEEE Trans. Antennas Propag. 50 163
[13] Ma J, Guo L X, Wang A Q 2009 Chin. Phys. B 18 3431
[14] Lezar E, Davidson D B 2011 International Conference on Electromagnetics in Advanced Applications Torino, Italy, September 12-16, 2011 p452
[15] Fang M, Song K H, Huang Z X, Wu X L 2013 International Symposium on Antennas & Propagation Nanjing, China, October 23-25, 2013 p1268
[16] Candés E J 2006 Proceedings of the International Congress of Mathematicians Madrid, Spain, August 22-30, 2006 p1433
[17] Donoho D L 2006 IEEE Trans. Inf. Theory 52 1289
[18] Wang Z, Wang B Z 2014 Acta Phys. Sin. 63 120202 (in Chinese) [王哲, 王秉中 2014 物理学报 63 120202]
[19] Thorsos E I 1988 J. Acoust. Soc. Am. 83 78
[20] Tropp J A, Gilbert A C 2007 IEEE Trans. Inf. Theory 53 4655
[21] Chen M S, Liu F L, Du H M, Wu X L 2011 IEEE Antennas Wirel. Propag. Lett. 10 1243
[22] Chen M S, Wang S W, Ma T, Wu X L 2014 Acta Phys. Sin. 63 170301 (in Chinese) [陈明生, 王时文, 马韬, 吴先良 2014 物理学报 63 170301]
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[1] Wang X D, Gan Y B, Li L W 2003 IEEE Antennas Wirel. Propag. Lett. 2 319
[2] Wang X D, Li L W 2009 Prog. Electromagn. Res. 91 35
[3] Wang R, Guo L X, Wang A Q 2010 Acta Phys. Sin. 59 3179 (in Chinese) [王蕊, 郭立新, 王安琪 2010 物理学报 59 3179]
[4] Hestenes M R, Stiefel E 1952 J. Res. Nat. Bur. Stand. 49 409
[5] Rokhlin V 1990 Antennas and Propagation Symposium Digest Dallas, USA, May 7-11, 1990 p80
[6] Lu C C, Chew W C 1994 Microw. Opt. Technol. Lett. 7 466
[7] Song J M, Chew W C 1995 Microw. Opt. Technol. Lett. 10 14
[8] Wang A Q, Guo L X, Chai C 2011 Chin. Phys. B 20 050201
[9] Wang A Q, Guo L X, Wei Y W, Ma J 2012 Prog. Electromagn. Res. 130 85
[10] Pino M, Obelleiro F, Landesa L, Burkholder R 2000 Microw. Opt. Technol. Lett. 26 78
[11] Dehmollaian M, Biglary H 2012 IEEE International Symposium on Antennas and Propagation and USNC-URSI National Radio Science Meeting Chicago, United States, July 8-14, 2012 p1
[12] Sheng X Q, Yung E K N 2002 IEEE Trans. Antennas Propag. 50 163
[13] Ma J, Guo L X, Wang A Q 2009 Chin. Phys. B 18 3431
[14] Lezar E, Davidson D B 2011 International Conference on Electromagnetics in Advanced Applications Torino, Italy, September 12-16, 2011 p452
[15] Fang M, Song K H, Huang Z X, Wu X L 2013 International Symposium on Antennas & Propagation Nanjing, China, October 23-25, 2013 p1268
[16] Candés E J 2006 Proceedings of the International Congress of Mathematicians Madrid, Spain, August 22-30, 2006 p1433
[17] Donoho D L 2006 IEEE Trans. Inf. Theory 52 1289
[18] Wang Z, Wang B Z 2014 Acta Phys. Sin. 63 120202 (in Chinese) [王哲, 王秉中 2014 物理学报 63 120202]
[19] Thorsos E I 1988 J. Acoust. Soc. Am. 83 78
[20] Tropp J A, Gilbert A C 2007 IEEE Trans. Inf. Theory 53 4655
[21] Chen M S, Liu F L, Du H M, Wu X L 2011 IEEE Antennas Wirel. Propag. Lett. 10 1243
[22] Chen M S, Wang S W, Ma T, Wu X L 2014 Acta Phys. Sin. 63 170301 (in Chinese) [陈明生, 王时文, 马韬, 吴先良 2014 物理学报 63 170301]
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