Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4958375 | Computers & Mathematics with Applications | 2017 | 14 Pages |
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.
Keywords
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Won-Kwang Park,