Properties of the far field operator for time harmonic acoustic waves

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 w...

Full description

Saved in:
Bibliographic Details
Published in:Applied mathematics and computation 2006-03, Vol.174 (2), p.1206-1215
Main Author: Ateş, Ülkü Dinlemez
Format: Article
Language:English
Subjects:
Acoustic waves
Classical and quantum physics: mechanics and fields
Exact sciences and technology
Far field operator
General theory of scattering
Inverse scattering
Mathematical analysis
Mathematics
Partial differential equations
Physics
Sciences and techniques of general use
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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 ∇ ρ ≠ 0 , where ρ ∈ C 1 ( IR 3 ) is the density of the absorbing medium.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2005.06.008