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Numerical analysis of electromagnetic wave propagation in metal-dielectric waveguides filled with nonlinear medium
Penza State University, Penza, Russia.
University of Gävle, Faculty of Engineering and Sustainable Development, Department of Electronics, Mathematics and Natural Sciences, Mathematics.
2016 (English)In: 2016 Progress In Electromagnetics Research Symposium, PIERS 2016 - Proceedings, 2016, 222-226 p., 7734297Conference paper (Refereed)
Abstract [en]

The propagation of monochromatic electromagnetic waves in metal-dielectric waveguides of simple geometry (circular cylindrical) filled with nonlinear inhomogeneous medium is considered. The Kerr nonlinearity is studied. A physical problem is reduced to solving a nonlinear transmission eigenvalue problem for a system of ordinary differential equations. Eigenvalues of the problem correspond to propagation constants of the waveguide. A method is proposed for finding approximate eigenvalues of the nonlinear problem based on solving an auxiliary Cauchy problem (by the shooting method). The existence of eigenvalues that correspond to a new propagation regime is predicted. A comparison with the linear case is given. © 2016 IEEE.

Place, publisher, year, edition, pages
2016. 222-226 p., 7734297
Keyword [en]
Circular waveguides; Dielectric waveguides; Differential equations; Eigenvalues and eigenfunctions; Electromagnetic wave propagation; Electromagnetic waves; Nonlinear equations; Ordinary differential equations; Waveguides, Metal-dielectric waveguide; Nonlinear inhomogeneous medium; Nonlinear problems; Nonlinear transmission; Propagation constant; Propagation regimes; Simple geometries; System of ordinary differential equations, Problem solving
National Category
Mathematics
Identifiers
URN: urn:nbn:se:hig:diva-23270DOI: 10.1109/PIERS.2016.7734297ScopusID: 2-s2.0-85006778867ISBN: 978-150906093-1 OAI: oai:DiVA.org:hig-23270DiVA: diva2:1063669
Conference
2016 Progress In Electromagnetics Research Symposium, PIERS 2016, 8-11 August 2016, Shanghai, China
Available from: 2017-01-10 Created: 2017-01-10 Last updated: 2017-01-10Bibliographically approved

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CiteExportLink to record
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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
  • rtf