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Nonlinear goubau line: Numerical study of te-polarized waves
University of Gävle, Faculty of Engineering and Sustainable Development, Department of Electronics, Mathematics and Natural Sciences.
2015 (English)In: PIERS 2015 Prague: Progress in Electromagnetics Research Symposium : Proceedings, Cambridge, MA: The Electromagnetics Academy , 2015, 1513-1517 p.Conference paper (Refereed)
Abstract [en]

The propagation of monochromatic electromagnetic TE 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 an ordinary differential equation. 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
Cambridge, MA: The Electromagnetics Academy , 2015. 1513-1517 p.
Keyword [en]
Differential equations, Eigenvalues and eigenfunctions, Nonlinear equations, Ordinary differential equations, Conducting cylinder, Dielectric layer, Nonlinear inhomogeneous medium, Nonlinear problems, Nonlinear transmission, Propagation constant, Propagation regimes, Shooting methods, Problem solving
National Category
Computational Mathematics
URN: urn:nbn:se:hig:diva-20775ScopusID: 2-s2.0-84947206203ISBN: 978-1-934142-30-1OAI: oai:DiVA.org:hig-20775DiVA: diva2:876450
Progress in Electromagnetics Research Symposium, 6-9 July 2015, Prague, Czech Republic
Available from: 2015-12-03 Created: 2015-12-03 Last updated: 2016-08-17Bibliographically approved

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Shestopalov, Yury V.
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