Confluent tip singularity of the electromagnetic field at the apex of a material cone

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dc.authorid0000-0002-1225-7482
dc.contributor.authorİdemen, Mehmet Mithaten_US
dc.date.accessioned2015-01-15T22:59:59Z
dc.date.available2015-01-15T22:59:59Z
dc.date.issued2003-09
dc.departmentIşık Üniversitesi, Mühendislik Fakültesi, Elektrik-Elektronik Mühendisliği Bölümüen_US
dc.departmentIşık University, Faculty of Engineering, Department of Electrical-Electronics Engineeringen_US
dc.descriptionThis work was supported by the Turkish Academy of Sciences (TUBA).en_US
dc.description.abstractThe tip singularity of the electromagnetic field at the apex of a cone (conical sheet) is investigated in its most general framework. To this end one considers, without loss of generality, a circularly symmetric cone which separates two simple media having different constitutive parameters, and tries to reveal the asymptotic behaviour of the electromagnetic field created near the apex of the cone by any rotationally symmetric source distribution. To cover various boundary conditions which are extensively used in actual investigations, the cone is supposed to be formed by an infinitely thin material sheet having its own constitutive parameters. The results show that the type and order of the singularity depend, in general, on various parameters such as (i) the apex angle of the cone, (ii) the constitutive parameters of the mediums separated by the cone, (iii) the constitutive parameters of the material cone itself and (iv) the topology of the conical surface. The problem of determining the order in question gives rise to a transcendental algebraic equation involving the Legendre functions of the first kind with complex orders. If the order is a simple root of this equation, then the singularity is always of the algebraic typed whereas a multiple root gives rise also to logarithmic singularities. A numerical method suitable to find a good approximate solution to this equation is also established. Since the general expressions of the boundary conditions on the material cone, which, are compatible with both the Maxwell equations and the topology of the cone, are not known, an attempt has also been made to derive these expressions. Some examples concerning the boundary conditions which are extensively considered in actual investigations are given.en_US
dc.description.sponsorshipTürkiye Bilimler Akademisien_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationİdemen, M. M. (2003). Confluent tip singularity of the electromagnetic field at the apex of a material cone. Wave Motion, 38(3), 251-277. doi:10.1016/S0165-2125(03)00059-3en_US
dc.identifier.doi10.1016/S0165-2125(03)00059-3
dc.identifier.endpage277
dc.identifier.issn0165-2125
dc.identifier.issue3
dc.identifier.scopus2-s2.0-0043065338
dc.identifier.scopusqualityQ2
dc.identifier.startpage251
dc.identifier.urihttps://hdl.handle.net/11729/128
dc.identifier.urihttp://dx.doi.org/10.1016/S0165-2125(03)00059-3
dc.identifier.volume38
dc.identifier.wosWOS:000184754200006
dc.identifier.wosqualityQ2
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.publisherElsevier Scienceen_US
dc.relation.ispartofWave Motionen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectDiffractionen_US
dc.subjectBoundaryen_US
dc.subjectSheetsen_US
dc.subjectWavesen_US
dc.subjectIntegral equationsen_US
dc.subjectPlane waveen_US
dc.subjectAlgebraen_US
dc.subjectBoundary conditionsen_US
dc.subjectConesen_US
dc.subjectFunctionsen_US
dc.subjectTip singularityen_US
dc.subjectElectromagnetic fieldsen_US
dc.titleConfluent tip singularity of the electromagnetic field at the apex of a material coneen_US
dc.typeArticleen_US
dspace.entity.typePublication

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