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Mathematical Problems in Engineering
Volume 2016, Article ID 7872548, 12 pages
Research Article

Interpretation of MUSIC for Location Detecting of Small Inhomogeneities Surrounded by Random Scatterers

Department of Mathematics, Kookmin University, Seoul 02707, Republic of Korea

Received 27 October 2015; Revised 5 January 2016; Accepted 6 January 2016

Academic Editor: Eric Florentin

Copyright © 2016 Won-Kwang Park. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We consider the MUltiple SIgnal Classification (MUSIC) algorithm for identifying the locations of small electromagnetic inhomogeneities surrounded by random scatterers. For this purpose, we rigorously analyze the structure of MUSIC-type imaging function by establishing a relationship with zero-order Bessel function of the first kind. This relationship shows certain properties of the MUSIC algorithm, explains some unexplained phenomena, and provides a method for improvements.