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dc.contributor.authorPoretskii, Aleksandr
dc.date.accessioned2015-12-01T12:00:16Z
dc.date.available2015-12-01T12:00:16Z
dc.date.issued2015
dc.identifier.isbn978-951-39-6370-5
dc.identifier.otheroai:jykdok.linneanet.fi:1505087
dc.identifier.urihttps://jyx.jyu.fi/handle/123456789/47936
dc.description.abstractWe investigate an electromagnetic waveguide, having several cylindrical ends. The waveguide is assumed to be empty and to have a perfectly conductive boundary. We study the electromagnetic field, excited in the waveguide in the presence of charges and currents. The field can be described as a solution of the stationary Maxwell system with conductive boundary conditions and “intrinsic” radiation conditions at infinity. We prove the problem to be well-posed. Electromagnetic waves propagation in the waveguide can be described by means of a scattering matrix. We introduce such a matrix for all values of the spectral parameter k in the waveguide continuous spectrum and study its properties. Moreover, we propose and justify a method for approximating the scattering matrix for all k in the continuous spectrum, including thresholds; the presence of waveguide eigenvalues does not influence the method statement. The results of the thesis extend the area of electromagnetic waveguide theory and have numerous applications. Particularly, the asymptotic and numerical methods, developed in the thesis, can be used for design and analysis of complex waveguides with resonators, SHF splitters, etc. To prove the results, we extend the over-determined Maxwell system to an elliptic problem and study the latter in detail. The information on the Maxwell system comes from that, obtained for the elliptic problem.
dc.format.extent1 verkkoaineisto (121 sivua)
dc.language.isoeng
dc.publisherUniversity of Jyväskylä
dc.relation.ispartofseriesJyväskylä studies in computing
dc.subject.otheraaltojohtimet
dc.subject.otherMaxwellin yhtälöt
dc.subject.otherelliptiset raja-arvo-ongelmat
dc.subject.othersirontamatriisit
dc.subject.otherthe stationary Maxwell system
dc.subject.otherwaveguides
dc.subject.otherelliptic extension
dc.subject.otherintrinsic radiation conditions
dc.subject.otherradiation principle
dc.subject.otherscattering matrix
dc.subject.othermethod for approximating the scattering matrix
dc.subject.otherminimizer of a quadratic functional
dc.subject.otherexponential convergence rate
dc.subject.otherthresholds
dc.subject.otherstable basis
dc.subject.otherextended scattering matrix
dc.subject.otherlimits of the scattering matrix at thresholds
dc.titleElectromagnetic wave propagation in non-homogeneous waveguides
dc.identifier.urnURN:ISBN:978-951-39-6370-5
dc.type.dcmitypeTexten
dc.type.ontasotVäitöskirjafi
dc.type.ontasotDoctoral dissertationen
dc.contributor.tiedekuntaInformaatioteknologian tiedekuntafi
dc.contributor.yliopistoUniversity of Jyväskyläen
dc.contributor.yliopistoJyväskylän yliopistofi
dc.contributor.oppiaineTietotekniikkafi
dc.relation.issn1456-5390
dc.relation.numberinseries224
dc.rights.accesslevelopenAccessfi
dc.subject.ysosähkömagneettinen säteily
dc.subject.ysosähkömagneettiset kentät
dc.subject.ysosironta
dc.subject.ysoosittaisdifferentiaaliyhtälöt
dc.subject.ysomatriisilaskenta
dc.subject.ysonumeeriset menetelmät


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