Eigenvalues of the far field operator for time harmonic acoustic waves by an inhomogeneous medium and inverse scattering theory

In this paper the far field pattern for the acoustic scattering waves in the nonhomogeneous medium is studied. Both the eigenvalue for the far field operator and the identity operator for the scattering operator are investigated. Also, this paper the inverse scattering problem is studied. All this r...

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Bibliographic Details
Published in:Applied mathematics and computation 2004-11, Vol.158 (3), p.835-851
Main Authors: Ateş, Ülkü (Dınlemez), Anar, İbrahim Ethem
Format: Article
Language:English
Subjects:
Acoustic waves
Exact sciences and technology
Far field operator
Global analysis, analysis on manifolds
Inverse scattering
Mathematical analysis
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Sciences and techniques of general use
Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds
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Summary:In this paper the far field pattern for the acoustic scattering waves in the nonhomogeneous medium is studied. Both the eigenvalue for the far field operator and the identity operator for the scattering operator are investigated. Also, this paper the inverse scattering problem is studied. All this researches, density of the absorbing medium ρ∈C 1( R 3) is assumed that ∇ ρ≠0.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2003.08.149