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Mathematical Aspects of the Theory of Wave Propagation in Metal-Dielectric Waveguides
University of Gävle, Faculty of Engineering and Sustainable Development, Department of Electronics, Mathematics and Natural Sciences. (Matematik)
Penza State University, Penza, Ryssland.
Moscow State Technical University of Radio Engineering, Electronics and Automation, Moscow, Russia.
2014 (English)In: General Assembly and Scientific Symposium (URSI GASS), 2014 XXXIth URSI: Beijing, China,  August 16–23, 2014, IEEE Press, 2014Conference paper, Published paper (Refereed)
Abstract [en]

We consider fundamental issues of the mathematical theory of the wave propagation in waveguides with inclusions. Analysis is performed in terms of a boundary eigenvalue problem for the Maxwell equations which is reduced to an eigenvalue problem for an operator pencil. We prove that the spectrum of normal waves forms a nonempty set of isolated points localized in a strip with at most finitely many real points. We show the importance of these results for the theory of wave propagation in open guiding structures and consider in more detail the surface wave spectrum of the Goubau line.

Place, publisher, year, edition, pages
IEEE Press, 2014.
Keyword [en]
Maxwell equations, dielectric waveguides, eigenvalues and eigenfunctions, electromagnetic wave propagation, waveguide theory
National Category
Other Mathematics
Identifiers
URN: urn:nbn:se:hig:diva-18052DOI: 10.1109/URSIGASS.2014.6929202ISI: 000366628700218Scopus ID: 2-s2.0-84919754045OAI: oai:DiVA.org:hig-18052DiVA: diva2:765338
Conference
XXXI General Assembly of the International Union of Radio Science (URSI GASS 2014), August 16–23, 2014, Beijing, China
Available from: 2014-11-22 Created: 2014-11-22 Last updated: 2016-07-04Bibliographically approved

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CiteExportLink to record
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Citation style
  • apa
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  • ieee
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  • sv-SE
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  • en-US
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  • nn-NB
  • de-DE
  • Other locale
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Output format
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