Fast identification of short, sound-soft open arcs by the orthogonality sampling method in the limited-aperture inverse scattering problem. (November 2020)

• Record Type: Journal Article
• Authors: Ahn, Chi Young; Chae, Seongje; Park, Won-Kwang
• Is Part Of: Applied mathematics letters. Volume 109(2020)
• Publication Date: 2020-11
• Subjects: Non-iterative technique -- Sound-soft arcs -- Limited-aperture inverse scattering problem -- Bessel functions -- Simulation results; Applied mathematics -- Periodicals; 519.05
• DOI: 10.1016/j.aml.2020.106556
• Languages: English
• ISSNs: 0893-9659

Abstract

Abstract: The orthogonality sampling method (OSM) is a recently developed non-iterative technique for imaging and identifying targets in inverse scattering problems. In this paper, a set of short sound-soft open arcs is obtained by OSM in the limited-aperture inverse scattering problem. We introduce an indicator function of OSM and explore its mathematical structure. In this formulation, the identification largely depended on the arc lengths, the range of observation directions, and the propagation direction of the plane-wave incident field. The explored structure was verified in numerical results on synthetic data corrupted by random noise.