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On absence of sources at infinity and uniqueness for waveguide solutions
Linnaeus University, Faculty of Technology, Department of Mathematics. (Vågor och signaler)
Hellenic Naval Academy, Greece.
Linnaeus University, Faculty of Technology, Department of Physics and Electrical Engineering. (Vågor och signaler)
Linnaeus University, Faculty of Technology, Department of Physics and Electrical Engineering. (Vågor och Signaler)ORCID iD: 0000-0002-7018-6248
2016 (English)In: Proceedings of the 2016 18th International Conference on Electromagnetics in Advanced Applications, ICEEA 2016, IEEE Press, 2016, 780-783 p.Conference paper (Refereed)
Abstract [en]

This paper discusses criteria for establishing uniqueness of wave propagation problems. Causality, or passivity that implies causality, is adopted as the fundamental principle. It is stressed that radiation conditions are not applicable for waveguide modes that carry no active power. The Jones' criteria for causality in the frequency domain, which covers the convectively unstable case, are presented and analysed, the vanishing absorption principle, VAP, in particular. It is proposed to use L2 for a lossy medium but a weighted L2 for the lossless case.

Place, publisher, year, edition, pages
IEEE Press, 2016. 780-783 p.
National Category
Mathematical Analysis
Research subject
Mathematics, Applied Mathematics; Physics, Waves and Signals
Identifiers
URN: urn:nbn:se:lnu:diva-60614DOI: 10.1109/ICEAA.2016.7731515ISBN: 978-1-4673-9811-4 (electronic)ISBN: 978-1-4673-9810-7 (print)OAI: oai:DiVA.org:lnu-60614DiVA: diva2:1073117
Conference
2016 18th International Conference on Electromagnetics in Advanced Applications, ICEEA, 19-23 Sept. 2016
Available from: 2017-02-09 Created: 2017-02-09 Last updated: 2017-03-15Bibliographically approved

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Nilsson, BörjeIvanenko, YevhenNordebo, Sven
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CiteExportLink to record
Permanent link

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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
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  • text
  • asciidoc
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