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Properties of the far-field operator for a multilayered scatterer in acoustic scattering theory

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dc.contributor.authorTorun, Guelten
dc.contributor.authorDinlemez, Ülkü
dc.date.accessioned2026-01-02T13:48:27Z
dc.date.issued2009-05-01
dc.description.abstractIn this paper, we consider the inverse scattering problem which is to determine the shape of a multilayered scatterer. The adjoint of the far-field operator is found. In scattering theory the boundary data are given by the traces of plane waves. The closure of the span of the images of these plane waves under the far-field operator is characterized. Furthermore, taking the affine hull instead of the span of the plane waves on the boundary, some results are obtained.
dc.description.urihttps://doi.org/10.1063/1.3126492
dc.description.urihttps://zbmath.org/5716530
dc.description.urihttps://dx.doi.org/10.1063/1.3126492
dc.description.urihttps://avesis.gazi.edu.tr/publication/details/821941c4-fbb4-441b-b419-bcbc4134a01b/oai
dc.identifier.doi10.1063/1.3126492
dc.identifier.eissn1089-7658
dc.identifier.issn0022-2488
dc.identifier.openairedoi_dedup___::aa4fa2ed32c3b89292e266a5360f12db
dc.identifier.orcid0000-0002-5656-3924
dc.identifier.scopus2-s2.0-66749146096
dc.identifier.urihttps://hdl.handle.net/20.500.12597/35459
dc.identifier.volume50
dc.identifier.wos000266443700038
dc.language.isoeng
dc.publisherAIP Publishing
dc.relation.ispartofJournal of Mathematical Physics
dc.rightsCLOSED
dc.subjectLaplace operator, Helmholtz equation (reduced wave equation), Poisson equation
dc.subjectinverse problems
dc.subjectacoustic wave scattering
dc.subjectScattering theory for PDEs
dc.subjectHydro- and aero-acoustics
dc.subjectwave equations
dc.titleProperties of the far-field operator for a multilayered scatterer in acoustic scattering theory
dc.typeArticle
dspace.entity.typePublication
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