A generalization of the Wiener-Hopf approach to direct and inverse scattering problems connected with non-homogeneous half-spaces bounded by n-part boundaries

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dc.authorid0000-0002-1225-7482
dc.authorid0000-0001-5290-849X
dc.contributor.authorİdemen, Mehmet Mithaten_US
dc.contributor.authorAlkumru, Alien_US
dc.date.accessioned2015-01-15T22:58:55Z
dc.date.available2015-01-15T22:58:55Z
dc.date.issued2000-08
dc.departmentIşık Üniversitesi, Mühendislik Fakültesi, Elektrik-Elektronik Mühendisliği Bölümüen_US
dc.departmentIşık University, Faculty of Engineering, Department of Electrical-Electronics Engineeringen_US
dc.description.abstractThe classical Wiener-Hopf method connected with mixed two-part boundary-value problems is generalized to cover n-part boundaries. To this end one starts from an ad-hoc representation for the Green function, which involves n unknown functions having certain analytical properties. Thus the problem is reduced to a functional equation involving n unknowns, which constitutes a generalization of the classical Wiener-Hopf equation in two unknowns. To solve this latter which cannot be solved exactly when n greater than or equal to 3, one establishes a new method permitting one to obtain the asymptotic expressions valid when the wavelength is sufficiently small as compared with the widths of the inner strips of the boundary. The essentials of the method are elucidated through a concrete inverse scattering problem whose aim is to determine the constitutive electromagnetic parameters of a slab and a half-space bounded by an n-part impedance plane. Some illustrative numerical examples show the applicability as well as the accuracy of the method.en_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationİdemen, M. M. & Alkumru, A. (2000). Generalization of the wiener-hopf approach to direct and inverse scattering problems connected with non-homogeneous half-spaces bounded by n-part boundaries. Quarterly Journal of Mechanics and Applied Mathematics, 53(3), 393-420. doi:10.1093/qjmam/53.3.393en_US
dc.identifier.doi10.1093/qjmam/53.3.393
dc.identifier.endpage420
dc.identifier.issn0033-5614
dc.identifier.issn1464-3855
dc.identifier.issue3
dc.identifier.scopus2-s2.0-0034246219
dc.identifier.scopusqualityQ3
dc.identifier.startpage393
dc.identifier.urihttps://hdl.handle.net/11729/83
dc.identifier.urihttp://dx.doi.org/10.1093/qjmam/53.3.393
dc.identifier.volume53
dc.identifier.wosWOS:000088964200004
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakScience Citation Index Expanded (SCI-EXPANDED)en_US
dc.institutionauthorİdemen, Mehmet Mithaten_US
dc.institutionauthorid0000-0002-1225-7482
dc.language.isoenen_US
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.publisherOxford Univ Pressen_US
dc.relation.ispartofQuarterly Journal of Mechanics and Applied Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectWiener-Hopf techniqueen_US
dc.subjectMixed boundary-value problemsen_US
dc.subjectInverse scatteringen_US
dc.subjectDimensional profile inversionen_US
dc.subjectFielden_US
dc.subjectAsymptotic stabilityen_US
dc.subjectBoundary value problemsen_US
dc.subjectFunctionsen_US
dc.subjectInverse problemsen_US
dc.subjectElectromagnetic wave scatteringen_US
dc.titleA generalization of the Wiener-Hopf approach to direct and inverse scattering problems connected with non-homogeneous half-spaces bounded by n-part boundariesen_US
dc.typeArticleen_US
dspace.entity.typePublication

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