Analysis of MUSIC-type imaging functionals for small two-dimensional electromagnetic inhomogeneities

Yong-Ki Ma and Won-Kwang Park

Journal of Electromagnetic Waves and Applications, 2015, vol. 29, issue 11, 1430-1439

Abstract: In this study, the MUltiple SIgnal Classification (MUSIC) algorithm for imaging of small electromagnetic inhomogeneities in two-dimensional space is considered. We identify the structure of MUSIC-type imaging functionals, which are often adopted in inverse scattering problems, by establishing a relationship between the imaging functional and Bessel functions of integer order of the first kind. This relationship illuminates certain properties of MUSIC, as well as explaining some undiscovered phenomena. The results of some numerical simulations using noisy data are presented in order to support our investigation.

Date: 2015
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DOI: 10.1080/09205071.2015.1047468

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