Numerical study of multilayered nonlinear inhomogeneous waveguides in the case of TM polarization
2016 (English)In: 2016 URSI International Symposium on Electromagnetic Theory (EMTS), IEEE conference proceedings, 2016, 247-250 p.Conference paper (Refereed)
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 Î±. 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.
URSI International Symposium on Electromagnetic Theory, ISSN 2163-405X
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
IdentifiersURN: 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
2016 URSI International Symposium on Electromagnetic Theory (EMTS), 14-18 August 2016, Espoo, Finland
Available through IEEE Xplore digital library : Conference Publications2016-11-082016-11-082017-01-10Bibliographically approved