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Reduced volume integral formulations for an open waveguide based on the cylindrical vector wave expansion
Linnaeus University, Faculty of Technology, Department of Physics and Electrical Engineering.ORCID iD: 0000-0002-7018-6248
Linnaeus University, Faculty of Technology, Department of Physics and Electrical Engineering.
Linnaeus University, Faculty of Technology, Department of Mathematics.
2013 (English)In: PIERS 2013 Stockholm: Progress in Electromagnetics Research Symposium : Proceedings, Electromagnetics Academy , 2013, 633-637 p.Conference paper (Refereed)
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.

Place, publisher, year, edition, pages
Electromagnetics Academy , 2013. 633-637 p.
Series
Progress in Electromagnetics Research Symposium, ISSN 1559-9450
National Category
Physical Sciences Mathematics
Research subject
Natural Science, Physics; Natural Science, Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-59326ScopusID: 2-s2.0-84884756886ISBN: 9781934142264 OAI: oai:DiVA.org:lnu-59326DiVA: diva2:1093642
Conference
Progress in Electromagnetics Research Symposium, PIERS 2013 Stockholm, 12 August 2013 through 15 August 2013, Stockholm
Available from: 2017-05-08 Created: 2017-05-08 Last updated: 2017-05-10Bibliographically approved

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Nordebo, SvenIoannidis, Andreas D.Nilsson, Börje
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CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf