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

doi:10.1016/S0252-9602(12)60131-3

Abstract

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

CLC Number:

78A46

DONG He-Ping, MA Fu-Ming, ZHANG De-Yue. MUSIC ALGORITHM FOR LOCATING POINT-LIKE SCATTERERS CONTAINED IN A SAMPLE ON FLAT SUBSTRATE[J].Acta mathematica scientia,Series B, 2012, 32(4): 1647-1661.

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