Solution to the Klein-Gordon equation for the study of time-domain waveguide fields and accompanying energetic processes

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dc.authoridTretyakov, Oleg -- 0000-0002-4397-5495
dc.contributor.authorAkgün, Özlem
dc.contributor.authorTretyakov, Oleg A.
dc.date.accessioned13.07.201910:50:10
dc.date.accessioned2019-07-29T19:27:26Z
dc.date.available13.07.201910:50:10
dc.date.available2019-07-29T19:27:26Z
dc.date.issued2015
dc.departmentMühendislik Fakültesi
dc.description.abstractIn electromagnetics, power flow and energy densities are associated with time-varying electromagnetic fields. For time-harmonic waves, such quadratic characteristics are derived using the complex-valued spatial forms of field vectors resulting in time-averaged power flow and energy densities. Hence, the opportunity to study dynamic processes of the quadratic characteristics is lost in the time-harmonic electromagnetics. To overcome this drawback, the authors consider the problem of a waveform propagation in a hollow waveguide via solving the system of Maxwell's equations with time derivative in an energetic space of 'real-valued' functions. The transverse electric and transverse magnetic modal field components are presented as the products of modal basis elements and the modal amplitudes. The vector basis elements are obtained with required physical dimensions, volt per metre and ampere per metre. Thereby, the modal amplitudes are dimension-free scalar functions. The system of evolutionary equations for the modal amplitudes is derived and solved explicitly. The Klein-Gordon equation (KGE) plays a central role herein. A novel set of real-valued solutions to the KGE is obtained and applied for analysis of the energetic processes pertinent to the time-domain signal propagation. The velocity of transportation of the modal field energy is obtained and energetic exchange between the transverse and longitudinal field components is discussed.
dc.identifier.doi10.1049/iet-map.2014.0512
dc.identifier.endpage1344en_US
dc.identifier.issn1751-8725
dc.identifier.issn1751-8733
dc.identifier.issue12en_US
dc.identifier.scopusqualityQ2
dc.identifier.startpage1337en_US
dc.identifier.urihttps://doi.org/10.1049/iet-map.2014.0512
dc.identifier.urihttps://hdl.handle.net/20.500.12451/5861
dc.identifier.volume9en_US
dc.identifier.wosWOS:000360823500015
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherINST ENGINEERING TECHNOLOGY-IET
dc.relation.ispartofIET MICROWAVES ANTENNAS & PROPAGATION
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/embargoedAccess
dc.titleSolution to the Klein-Gordon equation for the study of time-domain waveguide fields and accompanying energetic processes
dc.typeArticle

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