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Numerical study of multilayered nonlinear inhomogeneous waveguides in the case of TE polarization
University of Gävle, Faculty of Engineering and Sustainable Development, Department of Electronics, Mathematics and Natural Sciences, Mathematics.ORCID iD: 0000-0003-0168-0282
University of Gävle, Faculty of Engineering and Sustainable Development, Department of Electronics, Mathematics and Natural Sciences, Mathematics.
2016 (English)In: 2016 10th European Conference on Antennas and Propagation: EuCAP 2016, Institute of Electrical and Electronics Engineers (IEEE), 2016, 7481782Conference paper, Published paper (Refereed)
Resource type
Text
Abstract [en]

We consider propagation of surface TE waves in a circular dielectric waveguide filled with nonlinear (Kerr non-linearity) multilayered inhomogeneous medium. Each layer is characterized by a specific value of the nonlinearity coefficient α. Analysis is reduced to solving a nonlinear transmission eigenvalue problem for an ordinary differential equation; eigenvalues of the problem correspond to propagation constants of the waveguide. For the numerical solution, a method is proposed based on solving an auxiliary Cauchy problem (a version of the shooting method). As a result of comprehensive numerical modeling, new propagation regimes are discovered.

Place, publisher, year, edition, pages
Institute of Electrical and Electronics Engineers (IEEE), 2016. 7481782
Series
Proceedings of the European Conference on Antennas and Propagation, ISSN 2164-3342
Keyword [en]
Differential equations, Eigenvalues and eigenfunctions, Nonlinear equations, Ordinary differential equations, Waveguides, Circular dielectric waveguides, Inhomogeneous medium, Nonlinear inhomogeneous, Nonlinear transmission, Nonlinearity coefficient, Numerical solution, Propagation constant, Propagation regimes, Numerical methods
National Category
Electrical Engineering, Electronic Engineering, Information Engineering
Identifiers
URN: urn:nbn:se:hig:diva-22239DOI: 10.1109/EuCAP.2016.7481782ISI: 00400784902204Scopus ID: 2-s2.0-84979209104ISBN: 978-8-8907-0186-3 (print)OAI: oai:DiVA.org:hig-22239DiVA: diva2:953360
Conference
10th European Conference on Antennas and Propagation, EuCAP 2016, 10-15 April 2016, Davos, Switzerland
Available from: 2016-08-17 Created: 2016-08-17 Last updated: 2017-06-15Bibliographically approved

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CiteExportLink to record
Permanent link

Direct link
Cite
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