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Numerical study of multilayered nonlinear inhomogeneous waveguides in the case of TM 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 URSI International Symposium on Electromagnetic Theory (EMTS), IEEE conference proceedings, 2016, s. 247-250Konferansepaper, Publicerat paper (Fagfellevurdert)
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.

sted, utgiver, år, opplag, sider
IEEE conference proceedings, 2016. s. 247-250
Serie
URSI International Symposium on Electromagnetic Theory, ISSN 2163-405X
Emneord [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
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Identifikatorer
URN: urn:nbn:se:hig:diva-22708DOI: 10.1109/URSI-EMTS.2016.7571365ISI: 000389770800071Scopus ID: 2-s2.0-84992166516ISBN: 978-1-5090-2502-2 (tryckt)ISBN: 978-1-5090-2503-9 (tryckt)OAI: oai:DiVA.org:hig-22708DiVA, id: diva2:1045138
Konferanse
2016 URSI International Symposium on Electromagnetic Theory (EMTS), 14-18 August 2016, Espoo, Finland
Merknad

Available through IEEE Xplore digital library : Conference Publications

Tilgjengelig fra: 2016-11-08 Laget: 2016-11-08 Sist oppdatert: 2018-03-13bibliografisk kontrollert

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Smolkin, EugeneShestopalov, Yury

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