New propagation regimes of TM waves in a waveguide filled with a nonlinear dielectric metamaterial
2019 (English)In: 2019 URSI International Symposium on Electromagnetic Theory, EMTS 2019, IEEE , 2019Conference paper, Published paper (Refereed)
Abstract [en]
We consider propagation of surface TM 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 surface waves. 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 , 2019.
Series
URSI International Symposium on Electromagnetic Theory, ISSN 2163-405X
Keywords [en]
Dielectric waveguides, Eigenvalues and eigenfunctions, Electric fields, Metamaterials, Numerical methods, Ordinary differential equations, Surface waves, Kerr nonlinearity, Metal-dielectric waveguide, Metamaterial medium, Nonlinear dielectric, Nonlinear transmission, Numerical solution, Propagation constant, Propagation regimes, Nonlinear equations
National Category
Mathematics
Identifiers
URN: urn:nbn:se:hig:diva-31563DOI: 10.23919/URSI-EMTS.2019.8931548ISI: 000526054600113Scopus ID: 2-s2.0-85077957237ISBN: 9781946815064 (electronic)OAI: oai:DiVA.org:hig-31563DiVA, id: diva2:1388629
Conference
2019 URSI International Symposium on Electromagnetic Theory (EMTS), 27-31 May, SanDiego, USA
Note
We gratefully acknowledge the support of the University of Gavle and the Swedish Institute within the frames of the project Largescale. The research of Eugene Smolkin and Maxim Snegur is supported by the Ministry of Education and Science of the Russian Federation, Project No. 1.894.2017/4.6.
2020-01-272020-01-272022-09-15Bibliographically approved