数学物理学报(英文版) ›› 2012, Vol. 32 ›› Issue (4): 1647-1661.doi: 10.1016/S0252-9602(12)60131-3

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MUSIC ALGORITHM FOR LOCATING POINT-LIKE SCATTERERS CONTAINED IN A SAMPLE ON FLAT SUBSTRATE

董和平*|马富明|张德悦   

  1. Institute of Mathematics, Jilin University, Changchun 130012, China
  • 收稿日期:2009-10-16 修回日期:2011-08-25 出版日期:2012-07-20 发布日期:2012-07-20
  • 通讯作者: 董和平,dhp@jlu.edu.cn E-mail:dhp@jlu.edu.cn; mfm@jlu.deu.cn; dyzhang@mail.jlu.edu.cn
  • 基金资助:

    This work was supported by the National Natural Science Foundation of China (10971083, 10801063) and the School of Mathematical Sciences Foundation of Jilin University.

MUSIC ALGORITHM FOR LOCATING POINT-LIKE SCATTERERS CONTAINED IN A SAMPLE ON FLAT SUBSTRATE

 DONG He-Ping*, MA Fu-Ming, ZHANG De-Yue   

  1. Institute of Mathematics, Jilin University, Changchun 130012, China
  • Received:2009-10-16 Revised:2011-08-25 Online:2012-07-20 Published:2012-07-20
  • Contact: DONG He-Ping,dhp@jlu.edu.cn E-mail:dhp@jlu.edu.cn; mfm@jlu.deu.cn; dyzhang@mail.jlu.edu.cn
  • Supported by:

    This work was supported by the National Natural Science Foundation of China (10971083, 10801063) and the School of Mathematical Sciences Foundation of Jilin University.

摘要:

In this paper, we consider a MUSIC algorithm for locating point-like scatterers contained in a sample on flat substrate. Based on an asymptotic expansion of the scattering amplitude proposed by Ammari et al., the reconstruction problem can be reduced to a calculation of Green function corresponding to the background medium. In addition, we use an explicit formulation of Green function in the MUSIC algorithm to simplify the calculation when the cross-section of sample is a half-disc. Numerical experiments are included to demonstrate the feasibility of this method.

关键词: MUSIC algorithm, Hemholtz equation, multi static response (MSR) matrix, Green function

Abstract:

In this paper, we consider a MUSIC algorithm for locating point-like scatterers contained in a sample on flat substrate. Based on an asymptotic expansion of the scattering amplitude proposed by Ammari et al., the reconstruction problem can be reduced to a calculation of Green function corresponding to the background medium. In addition, we use an explicit formulation of Green function in the MUSIC algorithm to simplify the calculation when the cross-section of sample is a half-disc. Numerical experiments are included to demonstrate the feasibility of this method.

Key words: MUSIC algorithm, Hemholtz equation, multi static response (MSR) matrix, Green function

中图分类号: 

  • 78A46