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Numerical study of multilayered nonlinear inhomogeneous waveguides in the case of TM 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 URSI International Symposium on Electromagnetic Theory (EMTS), IEEE conference proceedings, 2016, 247-250 p.Conference paper (Refereed)
Abstract [en]

We consider propagation of surface TM waves in a circular dielectric waveguide filled with nonlinear (Kerr nonlinearity) 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
IEEE conference proceedings, 2016. 247-250 p.
Series
URSI International Symposium on Electromagnetic Theory, ISSN 2163-405X
Keyword [en]
Differential equations; Eigenvalues and eigenfunctions; Electric fields; 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
Mathematics
Identifiers
URN: urn:nbn:se:hig:diva-22708DOI: 10.1109/URSI-EMTS.2016.7571365ISI: 000389770800071ScopusID: 2-s2.0-84992166516ISBN: 978-1-5090-2502-2ISBN: 978-1-5090-2503-9OAI: oai:DiVA.org:hig-22708DiVA: diva2:1045138
Conference
2016 URSI International Symposium on Electromagnetic Theory (EMTS), 14-18 August 2016, Espoo, Finland
Note

Available through IEEE Xplore digital library : Conference Publications

Available from: 2016-11-08 Created: 2016-11-08 Last updated: 2017-01-10Bibliographically approved

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Smolkin, EugeneShestopalov, Yury
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