Certain properties of a MUSIC-type imaging functional in inverse scattering from an open sound-hard arc. (15th September 2017)

• Record Type: Journal Article
• Authors: Park, Won-Kwang
• Is Part Of: Computers & mathematics with applications. Volume 74:issue 6(2017)
• Page Start: 1232
• Page End: 1245
• Publication Date: 2017-09-15
• Subjects: MUltiple SIgnal Classification (MUSIC) -- Sound-hard arc -- Multi-Static Response (MSR) matrix -- Bessel functions -- Numerical results; Electronic data processing -- Periodicals; Mathematics -- Data processing -- Periodicals; 510.28541
• DOI: 10.1016/j.camwa.2017.06.009
• Languages: English
• ISSNs: 0898-1221

Abstract

Abstract: This paper concerns a mathematical formulation of the 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 the so-called Multi-Static Response (MSR) matrix and the structure of left-singular vectors linked to the non-zero singular values of the MSR matrix, we construct a relationship between the imaging functional and the Bessel functions of order 0, 1, and 2 of the first kind. We then expound certain properties of MUSIC and present numerical results for several differently chosen smooth arcs.