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Eigenwaves in Waveguides with Dielectric Inclusions : Spectrum
Karlstad University, Karlstad, Sweden.
Penza State University, Penza, Ryssland.
2014 (English)In: Applicable Analysis, ISSN 0003-6811, E-ISSN 1563-504X, Vol. 93, no 2, 408-427 p.Article in journal (Refereed) Published
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 formulate the definition of eigenwaves and associated waves using the system of eigenvectors and associated vectors of the pencil and prove that the spectrum of normal waves forms a non-empty set of isolated points localized in a strip with at most finitely many real points.

Place, publisher, year, edition, pages
2014. Vol. 93, no 2, 408-427 p.
Keyword [en]
eigenwave, waveguide, pencil, spectrum, completeness, basis
National Category
Mathematical Analysis
Identifiers
URN: urn:nbn:se:hig:diva-18040DOI: 10.1080/00036811.2013.778980ISI: 000331601900012Scopus ID: 2-s2.0-84894345937OAI: oai:DiVA.org:hig-18040DiVA: diva2:765323
Funder
Swedish Institute
Note

Även finansierat av:

- Russian Foundation for Basic Research Grant no: 11-07-00330-a / 12-07-97010-p-a- Ministry of Education and Science of the Russian Federation  Grant no: 14.B37.21.1950

Available from: 2014-11-22 Created: 2014-11-22 Last updated: 2016-11-28Bibliographically approved

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CiteExportLink to record
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Citation style
  • apa
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Language
  • sv-SE
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  • nn-NB
  • de-DE
  • Other locale
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Output format
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  • asciidoc
  • rtf