Interpretation of MUSIC for location detecting of small inhomogeneities surrounded by random scatterers

Abstract

In this paper, 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.

17 pages, 19 figures

References in corpus (2)

• Multi-frequency subspace migration for imaging of perfectly conducting, arc-like cracks
• Analysis of multi-frequency subspace migration weighted by natural logarithmic function for fast imaging of two-dimensional thin, arc-like electromagnetic inhomogeneities

Cited by in corpus (1)

• Appearance of inaccurate results in the MUSIC algorithm with inappropriate wavenumber