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 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 174 Issue: 2
  • Publication Date: 2006
  • Doi Number: 10.1016/j.amc.2005.06.008
  • Journal Name: APPLIED MATHEMATICS AND COMPUTATION
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1206-1215
  • Gazi University Affiliated: Yes

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.