Goubau line filled with nonlinear medium: Numerical study of TM-polarized waves
2015 (English)In: Proceedings of the 2015 International Conference on Electromagnetics in Advanced Applications: ICEAA 2015, IEEE Press, 2015, 1572-1575 p.Conference paper (Refereed)Text
The propagation of monochromatic electromagnetic TM waves in the Goubau line (conducting cylinder covered by a concentric dielectric layer) filled with nonlinear inhomogeneous medium is considered. Two types of nonlinearity are studied. A physical problem is reduced to solving a nonlinear transmission eigenvalue problem for a system of ordinary differential equations. Eigenvalues of the problem correspond to propagation constants of the waveguide. A method is proposed for finding approximate eigenvalues of the nonlinear problem based on solving an auxiliary Cauchy problem (by the shooting method). The existence of eigenvalues that correspond to a new propagation regime is predicted. A comparison with the linear case is given.
Place, publisher, year, edition, pages
IEEE Press, 2015. 1572-1575 p.
Dielectrics, Eigenvalues and eigenfunctions, Electromagnetic waveguides, Mathematical model, Nonhomogeneous media, Permittivity, Propagation constant
Electrical Engineering, Electronic Engineering, Information Engineering
IdentifiersURN: urn:nbn:se:hig:diva-21270DOI: 10.1109/ICEAA.2015.7297390ISI: 000378428800311ScopusID: 2-s2.0-84955470610ISBN: 978-147997806-9OAI: oai:DiVA.org:hig-21270DiVA: diva2:905697
17th International Conference on Electromagnetics in Advanced Applications, ICEAA 2015, 7-11 September 2015, Torino, Italy
Article number: 72973902016-02-232016-02-232016-08-17Bibliographically approved