Communications in Mathematical Sciences

Volume 13 (2015)

Number 4

Special Issue in Honor of George Papanicolaou’s 70th Birthday

Guest Editors: Liliana Borcea, Jean-Pierre Fouque, Shi Jin, Lenya Ryzhik, and Jack Xin

Determining scattering support of anisotropic acoustic mediums and obstacles

Pages: 987 – 1000

DOI: https://dx.doi.org/10.4310/CMS.2015.v13.n4.a7

Authors

Hongyu Liu (Department of Mathematics, Hong Kong Baptist University, Kowloon, Hong Kong)

Hongkai Zhao (Department of Mathematics, University of California at Irvine)

Changjian Zou (Department of Mathematics, University of California at Irvine)

Abstract

We consider the inverse acoustic scattering problem for a complex scatterer, which might be composed of both inhomogeneous anisotropic mediums and impenetrable obstacles. It is shown that the fixed-frequency scattering amplitude uniquely determines the scattering support of a complex scatterer, disregarding its contents.

Keywords

inverse acoustic scattering, anisotropic medium, obstacle, uniqueness

2010 Mathematics Subject Classification

31B10, 35J05, 35Q60, 35R30, 78A40

Full Text (PDF format)

Published 12 March 2015