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The azimuthal symmetric hybrid waves in nonlinear cylindrical waveguide
University of Gävle, Faculty of Engineering and Sustainable Development, Department of Electronics, Mathematics and Natural Sciences, Mathematics.ORCID iD: 0000-0003-0168-0282
2017 (English)In: Progress in Electromagnetics Research Symposium, Electromagnetics Academy , 2017, p. 348-353Conference paper, Published paper (Refereed)
Abstract [en]

The propagation of monochromatic nonlinear symmetric hybrid waves in a cylindrical nonlinear dielectric waveguide is considered. The physical problem is reduced to solving a transmission eigenvalue problem for a system of ordinary differential equations. Spectral parameters of the problem are propagation constants of the waveguide. Numerical results are found with the modification of the shooting method. The method allows us to determine approximate eigenvalues with any prescribed accuracy. The comparison with known exact solutions (for particular values of parameters) are made. The approach described in this paper can be applied to other problems, e.g., to multilayered inhomogeneous waveguides.

Place, publisher, year, edition, pages
Electromagnetics Academy , 2017. p. 348-353
Keywords [en]
Eigenvalues and eigenfunctions, Numerical methods, Ordinary differential equations, Inhomogeneous waveguides, Nonlinear dielectric, Numerical results, Propagation constant, Shooting methods, Spectral parameters, System of ordinary differential equations, Transmission eigenvalue, Waveguides
National Category
Mathematics
Identifiers
URN: urn:nbn:se:hig:diva-26727DOI: 10.1109/PIERS.2017.8261763ISI: 000427596700064Scopus ID: 2-s2.0-85044920341ISBN: 9781509062690 (electronic)ISBN: 978-1-5090-6270-6 (print)OAI: oai:DiVA.org:hig-26727DiVA, id: diva2:1212986
Conference
2017 Progress In Electromagnetics Research Symposium - Spring, PIERS 2017, 22-25 May 2017, St. Petersburg, Russian Federation
Projects
Project Largescale
Funder
Swedish InstituteAvailable from: 2018-06-04 Created: 2018-06-04 Last updated: 2018-06-04Bibliographically approved

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Smolkin, Eugene

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CiteExportLink to record
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Citation style
  • apa
  • harvard-cite-them-right
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • sv-SE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • de-DE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf