Properties of Music-Type Algorithm for Imaging of Thin Dielectric Inhomogeneity in Limited-View Inverse Scattering Problem

Abstract

Abstract-It is well known that a Multiple Signal Classification (MUSIC)-type algorithm yields good results in the imaging of thin dielectric inhomogeneity for full-view inverse scattering problems. In contrast, it yields a poor result in limited-view inverse scattering problems. In this paper, we verify the reason for the above by establishing a relationship between a MUSIC-type imaging function and the Bessel functions of the integer order of the first kind. This verification is based on the asymptotic expansion formula for thin dielectric inhomogeneity. Various numerical examples are discussed for confirming our verification.

Object Locating of Electromagnetic Inclusions in Anisotropic Permeable Background Using Music Algorithm

“…In [8] and [9], this approach is used for imaging of the perfect conductor cracks; however, shape of the inclusions cannot be reconstructed. The MUSIC algorithm is also used to detect an inhomogeneous thin dielectric structure in a two-dimensional homogeneous space in [10] and electromagnetic structure in [11]. Time-Reversal MUSIC (TRM), investigated in [12][13][14] and [15], is used for multiple scattering among the scatterers, but it is not as simple as MUSIC.…”