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Goubau line filled with nonlinear medium: Numerical study of TM-polarized waves
University of Gävle, Faculty of Engineering and Sustainable Development, Department of Electronics, Mathematics and Natural Sciences.ORCID iD: 0000-0003-0168-0282
2015 (English)In: Proceedings of the 2015 International Conference on Electromagnetics in Advanced Applications: ICEAA 2015, IEEE Press, 2015, 1572-1575 p.Conference paper, Published paper (Refereed)
Resource type
Text
Abstract [en]

The propagation of monochromatic electromagnetic TM waves in the Goubau line (conducting cylinder covered by a concentric dielectric layer) filled with nonlinear inhomogeneous medium is considered. Two types of nonlinearity are 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.

Place, publisher, year, edition, pages
IEEE Press, 2015. 1572-1575 p.
Keyword [en]
Dielectrics, Eigenvalues and eigenfunctions, Electromagnetic waveguides, Mathematical model, Nonhomogeneous media, Permittivity, Propagation constant
National Category
Electrical Engineering, Electronic Engineering, Information Engineering
Identifiers
URN: urn:nbn:se:hig:diva-21270DOI: 10.1109/ICEAA.2015.7297390ISI: 000378428800311Scopus ID: 2-s2.0-84955470610ISBN: 978-147997806-9 (print)OAI: oai:DiVA.org:hig-21270DiVA: diva2:905697
Conference
17th International Conference on Electromagnetics in Advanced Applications, ICEAA 2015, 7-11 September 2015, Torino, Italy
Note

Article number: 7297390

Available from: 2016-02-23 Created: 2016-02-23 Last updated: 2016-08-17Bibliographically 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