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dc.contributor.authorİdemen, Mehmet Mithaten_US
dc.contributor.authorAlkumru, Alien_US
dc.date.accessioned2015-01-15T23:00:20Z
dc.date.available2015-01-15T23:00:20Z
dc.date.issued2005-06
dc.identifier.citationİdemen, M. M. & Alkumru, A. (2005). Diffraction of two-dimensional high-frequency electromagnetic waves by a locally perturbed two-part impedance plane. Wave Motion, 42(1), 53-73. doi:10.1016/j.wavemoti.2004.09.003en_US
dc.identifier.issn0165-2125
dc.identifier.urihttps://hdl.handle.net/11729/180
dc.identifier.urihttp://dx.doi.org/10.1016/j.wavemoti.2004.09.003
dc.descriptionThis work was supported by the Turkish Academy of Sciences (TUBA).en_US
dc.description.abstractDuring the second half of the last century mixed boundary-value problems had been an appealing research subject for both mathematicians and engineers. Among this kind of problems those connected with wave propagation in half-spaces or slabs bounded by sectionally homogeneous boundaries took an important place because they were motivated by microwave applications. The simplest problem of this kind is the classical two-part problem which can be reduced to a functional equation involving two unknown functions, say psi(+)(v) and psi(-)(v), which are regular in the upper and lower halves of the complex v-plane, respectively. This functional equation can be rigorously treated by the Wiener-Hopf technique. When the boundary consists of three (or more) parts, the resulting functional equation involves also an entire function, say P(v), in addition to psi(+)(v) and psi(-)(v), which makes the problem not solvable exactly. A local (non-homogeneous) perturbation on a two-part boundary, which is of extreme importance from engineering point of view, gives also rise to a problem of this type. The known methods established to overcome the difficulties inherent to the three-part problems are based on the elimination of the entire function P(v) first to obtain a linear system of two singular integral equations for psi(+) and psi(-). After having determined the functions psi(+)(v) and psi(-)(v) by solving this system of integral equations numerically, the function P(v) is found from the functional equation in question. Numerical solutions to the aforementioned system, which need rather hard computations, cannot provide results which are suitable to physical interpretations. The aim of the present paper is to establish a new method which is based, conversely, on the elimination of the unknown functions psi(+)(v) and psi(-)(v) first to obtain a linear integral equation of the first kind for the entire function P(v), which can be solved rather easily by regularized numerical methods. Then the functions psi(+)(v) and psi(-)(v) are determined through the classical Wiener-Hopf technique. The result to be obtained by this approach seems to be more suitable to physical interpretations and permits one to reveal the effect of the perturbation on the scattered wave. Some illustrative examples show the applicability and effectiveness of the method.en_US
dc.description.sponsorshipTürkiye Bilimler Akademisien_US
dc.language.isoengen_US
dc.publisherElsevier Science BVen_US
dc.relation.isversionof10.1016/j.wavemoti.2004.09.003
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectDimensional profile inversionen_US
dc.subjectScattering problemsen_US
dc.subjectHalf-spaceen_US
dc.subjectBoundaryen_US
dc.subjectElectromagnetic wavesen_US
dc.subjectImpedance planeen_US
dc.subjectWiener-Hopf techniqueen_US
dc.subjectDimensional profile inversionen_US
dc.subjectBoundary value problemsen_US
dc.subjectIntegral equationsen_US
dc.subjectLinear systemsen_US
dc.subjectPerturbation techniquesen_US
dc.subjectProblem solvingen_US
dc.subjectWave equationsen_US
dc.subjectFunctional equationsen_US
dc.subjectLinear integral equationsen_US
dc.subjectScattered wavesen_US
dc.subjectWiner-Hopf techniqueen_US
dc.subjectElectromagnetic wave propagationen_US
dc.titleDiffraction of two-dimensional high-frequency electromagnetic waves by a locally perturbed two-part impedance planeen_US
dc.typearticleen_US
dc.description.versionPublisher's Versionen_US
dc.relation.journalWave Motionen_US
dc.contributor.departmentIşık Üniversitesi, Mühendislik Fakültesi, Elektrik-Elektronik Mühendisliği Bölümüen_US
dc.contributor.departmentIşık University, Faculty of Engineering, Department of Electrical-Electronics Engineeringen_US
dc.contributor.authorID0000-0002-1225-7482
dc.identifier.volume42
dc.identifier.issue1
dc.identifier.startpage53
dc.identifier.endpage73
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.contributor.institutionauthorİdemen, Mehmet Mithaten_US
dc.relation.indexWOSen_US
dc.relation.indexScopusen_US
dc.relation.indexScience Citation Index Expanded (SCI-EXPANDED)en_US
dc.description.qualityQ2
dc.description.wosidWOS:000228881300004


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