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Nonlinear coupled TE-TM waves in Goubau line
University of Gävle, Faculty of Engineering and Sustainable Development, Department of Electronics, Mathematics and Natural Sciences, Mathematics.
University of Gävle, Faculty of Engineering and Sustainable Development, Department of Electronics, Mathematics and Natural Sciences, Mathematics.
2016 (English)In: Proceedings of the 2016 18th International Conference on Electromagnetics in Advanced Applications, ICEAA 2016, 2016, 356-359 p., 7731397Conference paper, (Refereed)
Abstract [en]

Nonlinear coupled electromagnetic TE-TM wave propagation in the Goubau line (a conducting cylinder covered by a concentric dielectric layer) filled with nonlinear inhomogeneous medium is considered. Nonlinearity inside the GL is described by the Kerr law. The physical problem is reduced to a nonlinear two-parameter eigenvalue problem for a system of (nonlinear) ordinary differential equations. For the numerical solution, a method based on solving an auxiliary Cauchy problem (the shooting method) is proposed. The coupled TE-TM waves propagating in GL are determined numerically. Whether these mathematically predicted propagation regime really exist is a hypothesis that can be proved or disproved in an experiment.

Place, publisher, year, edition, pages
2016. 356-359 p., 7731397
Keyword [en]
Differential equations; Eigenvalues and eigenfunctions; Numerical methods; Ordinary differential equations; Wave propagation, Cauchy problems; Conducting cylinder; Dielectric layer; Nonlinear inhomogeneous medium; Numerical solution; Propagation regimes; Shooting methods; Two-parameter eigenvalue problem, Nonlinear equations
National Category
Mathematics
Identifiers
URN: urn:nbn:se:hig:diva-23292DOI: 10.1109/ICEAA.2016.7731397Scopus ID: 2-s2.0-85007371718OAI: oai:DiVA.org:hig-23292DiVA: diva2:1064269
Conference
18th International Conference on Electromagnetics in Advanced Applications, ICEAA 2016, 19-23 September 2016, Cairns, Australia
Available from: 2017-01-12 Created: 2017-01-12 Last updated: 2017-02-06Bibliographically approved

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CiteExportLink to record
Permanent link

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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
  • html
  • text
  • asciidoc
  • rtf