A novel study on subspace migration for imaging of a sound-hard arc. (15th December 2017)

• Record Type: Journal Article
• Authors: Park, Won-Kwang
• Is Part Of: Computers & mathematics with applications. Volume 74:issue 12(2017)
• Page Start: 3000
• Page End: 3007
• Publication Date: 2017-12-15
• Subjects: Sound-hard arc -- Inverse acoustic problem -- Multi-Static Response (MSR) matrix -- Bessel functions -- Simulation result; Electronic data processing -- Periodicals; Mathematics -- Data processing -- Periodicals; 510.28541
• DOI: 10.1016/j.camwa.2017.07.045
• Languages: English
• ISSNs: 0898-1221

Abstract

Abstract: In this study, the influence of a test vector selection used in subspace migration to reconstruct the shape of a sound-hard arc in a two-dimensional inverse acoustic problem is considered. In particular, a new mathematical structure of imaging function is constructed in terms of the Bessel functions of the order 0, 1, and 2 of the first kind based on the structure of singular vectors linked to the nonzero singular values of a Multi-Static Response (MSR) matrix. This structure indicates that imaging performance of subspace migration is highly related to the unknown shape of arc. The simulation results with noisy data indicate support for the derived structure.