Certain properties of MUSIC-type imaging functional in inverse scattering from an open, sound-hard arc

Abstract

This paper concerns mathematical formulation of well-known MUltiple SIgnal Classification (MUSIC)-type imaging functional in the inverse scattering problem by an open sound-hard arc. Based on the physical factorization of so-called Multi-Static Response (MSR) matrix and the structure of left-singular vectors liked to the non-zero singular values of MSR matrix, we construct a relationship between imaging functional and Bessel function of order $1$ of the first kind. We then expound certain properties of MUSIC and present numerical results for a number of differently chosen smooth arcs.

14 pages, 13 figures

References in corpus (1)

• Multi-frequency subspace migration for imaging of perfectly conducting, arc-like cracks

Cited by in corpus (2)

• A novel study on the MUSIC-type imaging of small electromagnetic inhomogeneities in the limited-aperture inverse scattering problem
• Application of MUSIC-type imaging for anomaly detection without background information