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Numerical study of multilayered nonlinear inhomogeneous waveguides in the case of TE polarization
University of Gävle, Faculty of Engineering and Sustainable Development, Department of Electronics, Mathematics and Natural Sciences.ORCID iD: 0000-0003-0168-0282
University of Gävle, Faculty of Engineering and Sustainable Development, Department of Electronics, Mathematics and Natural Sciences.
2016 (English)In: 2016 10th European Conference on Antennas and Propagation: EuCAP 2016, Institute of Electrical and Electronics Engineers (IEEE), 2016, 7481782Conference paper (Refereed)Text
Abstract [en]

We consider propagation of surface TE waves in a circular dielectric waveguide filled with nonlinear (Kerr non-linearity) 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
Institute of Electrical and Electronics Engineers (IEEE), 2016. 7481782
Keyword [en]
Differential equations, Eigenvalues and eigenfunctions, 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
Electrical Engineering, Electronic Engineering, Information Engineering
Identifiers
URN: urn:nbn:se:hig:diva-22239DOI: 10.1109/EuCAP.2016.7481782ScopusID: 2-s2.0-84979209104OAI: oai:DiVA.org:hig-22239DiVA: diva2:953360
Conference
10th European Conference on Antennas and Propagation, EuCAP 2016, 10-15 April 2016, Davos, Switzerland
Available from: 2016-08-17 Created: 2016-08-17 Last updated: 2016-12-09Bibliographically approved

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Smolkin, EugeneShestopalov, Yury
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