Reconstruction of an impenetrable obstacle in anisotropic inhomogeneous background. (9th April 2021)

• Record Type: Journal Article
• Authors: Kow, Pu-Zhao; Wang, Jenn-Nan
• Is Part Of: IMA journal of applied mathematics. Volume 86:Number 2(2021)
• Page Start: 320
• Page End: 348
• Publication Date: 2021-04-09
• Subjects: Mathematics -- Periodicals; Mathematics; Periodicals; 519
• DOI: 10.1093/imamat/hxab002
• Languages: English
• ISSNs: 0272-4960

Abstract

Abstract: In this paper, we are interested in the problem of determining the shape of sound-soft or impedance obstacles in the acoustic wave scattering with an anisotropic inhomogeneous medium. The main theme is to extend the factorization method to this setting. Precisely, we can reconstruct the obstacle by the eigenvalues and eigenfunctions of the far-field operator. We also provide some numerical simulations in the paper.