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On the existence of the nonlinear leaky TE-polarized waves in a metal–dielectric cylindrical waveguide
University of Gävle, Faculty of Engineering and Sustainable Development, Department of Electrical Engineering, Mathematics and Science, Mathematics.
Department of Mathematics and Supercomputing, Penza State University, Krasnaya Str. 40, Penza, 440026, Russia.
2019 (English)In: Wave motion, ISSN 0165-2125, E-ISSN 1878-433X, Vol. 91, article id 102378Article in journal (Refereed) Published
Abstract [en]

We consider propagation of leaky waves in the Goubau line (a perfectly conducting cylinder covered by a concentric dielectric layer) filled with nonlinear inhomogeneous medium. The problem is reduced to the analysis of a nonlinear integral equation with a kernel in the form of the Green’s function of an auxiliary boundary value problem on an interval. The existence of propagating nonlinear leaky waves for the chosen nonlinearity (Kerr law) is proved using the method of contraction. Conditions under which a finite number of waves can propagate are obtained and the intervals of localization of the corresponding propagation constants are determined. For the numerical solution, a method based on solving an auxiliary Cauchy problem (a version of the shooting method) is proposed. In numerical experiments, two types of nonlinearities are considered and compared: Kerr nonlinearity and nonlinearity with saturation. New propagation regimes are discovered.

Place, publisher, year, edition, pages
2019. Vol. 91, article id 102378
Keywords [en]
Goubau line, Leaky TE waves, Nonhomogeneous dielectric waveguide, Nonlinear permittivity, Numerical method
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:hig:diva-30786DOI: 10.1016/j.wavemoti.2019.102378ISI: 000491616700005Scopus ID: 2-s2.0-85068461223OAI: oai:DiVA.org:hig-30786DiVA, id: diva2:1360517
Available from: 2019-10-14 Created: 2019-10-14 Last updated: 2019-11-26Bibliographically approved

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Shestopalov, YurySmolkin, Eugene

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CiteExportLink to record
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  • nn-NB
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  • Other locale
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Output format
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