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Reduced volume integral formulations for an open waveguide based on the cylindrical vector wave expansion
Linnéuniversitetet, Fakulteten för teknik (FTK), Institutionen för fysik och elektroteknik (IFE).ORCID-id: 0000-0002-7018-6248
Linnéuniversitetet, Fakulteten för teknik (FTK), Institutionen för fysik och elektroteknik (IFE).
Linnéuniversitetet, Fakulteten för teknik (FTK), Institutionen för matematik (MA).
2013 (engelsk)Inngår i: PIERS 2013 Stockholm: Progress in Electromagnetics Research Symposium : Proceedings, Electromagnetics Academy , 2013, s. 633-637Konferansepaper, Publicerat paper (Fagfellevurdert)
Abstract [en]

A Fourier representation of the electric field volume integral equation for an open and cylindrically symmetrical waveguide is given in this paper. The waveguide material is assumed to be isotropic, non-magnetic and with an arbitrary radial variation in the relative permittivity. The Fourier representation yields a system of one-dimensional integral equations, one system for each azimuthal index and where the Fourier variable for the longitudinal direction plays the role of a spectral parameter. The integral equation is of the second kind and has a kernel that is generally discontinuous on the diagonal and singular at the origin. In the axial symmetric case, it can readily be shown that the elements of the matrix kernel belong to an L2-space, and hence that the integral operator is compact and the analytic Fredholm theorem is applicable.

sted, utgiver, år, opplag, sider
Electromagnetics Academy , 2013. s. 633-637
Serie
Progress in Electromagnetics Research Symposium, ISSN 1559-9450
HSV kategori
Forskningsprogram
Naturvetenskap, Fysik; Naturvetenskap, Matematik
Identifikatorer
URN: urn:nbn:se:lnu:diva-59326ISI: 000361384200132Scopus ID: 2-s2.0-84884756886ISBN: 9781934142264 (tryckt)OAI: oai:DiVA.org:lnu-59326DiVA, id: diva2:1093642
Konferanse
Progress in Electromagnetics Research Symposium, PIERS 2013 Stockholm, 12 August 2013 through 15 August 2013, Stockholm
Tilgjengelig fra: 2017-05-08 Laget: 2017-05-08 Sist oppdatert: 2018-05-17bibliografisk kontrollert

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