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New Propagation Regimes of TE Waves in a Waveguide filled with a Nonlinear Dielectric Metamaterial
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, Penza, Russia.ORCID iD: 0000-0003-0168-0282
Department of Mathematics and Supercomputing, Penza State University, Penza, Russi.
2019 (English)In: 2019 URSI Asia-Pacific Radio Science Conference (AP-RASC), New Dehli: IEEE, 2019, article id 8738241Conference paper, Published paper (Refereed)
Abstract [en]

We consider propagation of surface TE waves in a circular metal-dielectric waveguide filled with nonlinear (Kerr nonlinearity) metamaterial medium. 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
New Dehli: IEEE, 2019. article id 8738241
Keywords [en]
dielectric waveguides, differential equations, eigenvalues and eigenfunctions, electromagnetic wave propagation, optical metamaterials, optical waveguides, new propagation regimes, TE waves, nonlinear dielectric metamaterial, circular metal-dielectric waveguide, nonlinear metamaterial medium, Kerr nonlinearity, nonlinear transmission eigenvalue problem, ordinary differential equation, eigenvalues, problem correspond, propagation constants, auxiliary Cauchy problem, Electromagnetic waveguides, Dielectrics, Permittivity, Metamaterials, Electromagnetics, Electromagnetic scattering
National Category
Electrical Engineering, Electronic Engineering, Information Engineering Mathematics
Identifiers
URN: urn:nbn:se:hig:diva-30555DOI: 10.23919/URSIAP-RASC.2019.8738241ISI: 000491262700095Scopus ID: 2-s2.0-85068617892ISBN: 978-908-25987-5-9 (electronic)ISBN: 978-908-25987-4-2 (print)ISBN: 978-1-5386-8551-8 (print)OAI: oai:DiVA.org:hig-30555DiVA, id: diva2:1345044
Conference
URSI AP-RASC 2019, 09 - 15 March 2019, New Delhi, India
Available from: 2019-08-22 Created: 2019-08-22 Last updated: 2019-11-25Bibliographically approved

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Shestopalov, YurySmolkin, Eugene

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CiteExportLink to record
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Citation style
  • apa
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  • ieee
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