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Numerical study of multilayered nonlinear inhomogeneous waveguides in the case of TE polarization
Högskolan i Gävle, Akademin för teknik och miljö, Avdelningen för elektronik, matematik och naturvetenskap, Matematik.ORCID-id: 0000-0003-0168-0282
Högskolan i Gävle, Akademin för teknik och miljö, Avdelningen för elektronik, matematik och naturvetenskap, Matematik.
2016 (engelsk)Inngår i: 2016 10th European Conference on Antennas and Propagation: EuCAP 2016, Institute of Electrical and Electronics Engineers (IEEE), 2016, artikkel-id 7481782Konferansepaper, Publicerat paper (Fagfellevurdert)
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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.

sted, utgiver, år, opplag, sider
Institute of Electrical and Electronics Engineers (IEEE), 2016. artikkel-id 7481782
Serie
Proceedings of the European Conference on Antennas and Propagation, ISSN 2164-3342
Emneord [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
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Identifikatorer
URN: urn:nbn:se:hig:diva-22239DOI: 10.1109/EuCAP.2016.7481782ISI: 000400784902204Scopus ID: 2-s2.0-84979209104ISBN: 978-8-8907-0186-3 (tryckt)OAI: oai:DiVA.org:hig-22239DiVA, id: diva2:953360
Konferanse
10th European Conference on Antennas and Propagation, EuCAP 2016, 10-15 April 2016, Davos, Switzerland
Tilgjengelig fra: 2016-08-17 Laget: 2016-08-17 Sist oppdatert: 2018-12-03bibliografisk kontrollert

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Smolkin, EugeneShestopalov, Yury

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