Music algorithm for locating point-like scatterers contained in a sample on flat substrate |
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Authors: | Dong Heping Ma Fuming Zhang Deyue |
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Institution: | Institute of Mathematics, Jilin University, Changchun 130012, China |
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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. |
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Keywords: | MUSIC algorithm Hemholtz equation multi static response (MSR) matrix Green function |
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