ASYMPTOTIC PROPERTIES OF MUSIC-TYPE IMAGING IN TWO-DIMENSIONAL INVERSE SCATTERING FROM THIN ELECTROMAGNETIC INCLUSIONS

摘要

The main purpose of this paper is to study the structure of the well-known non-iterative MUltiple SIgnal Classification (MUSIC) algorithm for identifying the shape of extended electromagnetic inclusions of small thickness located in the two-dimensional homogeneous space. We construct a relationship between a MUSIC-type imaging functional for thin inclusions and Bessel functions of integer order of the first kind. Our construction is based on the structure of left-singular vectors of a collected Multi-Static Response matrix whose elements are a measured far-field pattern and an asymptotic expansion formula of the existence of thin inclusions. Some numerical examples are shown to support the constructed structure of MUSIC.