Properties of the far field operator for time harmonic acoustic waves


Ates Ü.

APPLIED MATHEMATICS AND COMPUTATION, vol.174, no.2, pp.1206-1215, 2006 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 174 Issue: 2
  • Publication Date: 2006
  • Doi Number: 10.1016/j.amc.2005.06.008
  • Title of Journal : APPLIED MATHEMATICS AND COMPUTATION
  • Page Numbers: pp.1206-1215

Abstract

In this paper the eigenvalues of the far field operator according to the inverse scattering problem for time harmonic acoustic waves in the nonhomogeneous medium are characterized with an inequality. In addition to we prove the far field operator is one to one and its range is dense. In this paper we consider del rho not equal 0, where rho is an element of C-1(IR3) is the density of the absorbing medium. (c) 2005 Elsevier Inc. All rights reserved.