Nonlinear coupled TE-TM waves in Goubau line
2016 (English)In: Proceedings of the 2016 18th International Conference on Electromagnetics in Advanced Applications, ICEAA 2016, 2016, 356-359 p., 7731397Conference paper (Refereed)
Nonlinear coupled electromagnetic TE-TM wave propagation in the Goubau line (a conducting cylinder covered by a concentric dielectric layer) filled with nonlinear inhomogeneous medium is considered. Nonlinearity inside the GL is described by the Kerr law. The physical problem is reduced to a nonlinear two-parameter eigenvalue problem for a system of (nonlinear) ordinary differential equations. For the numerical solution, a method based on solving an auxiliary Cauchy problem (the shooting method) is proposed. The coupled TE-TM waves propagating in GL are determined numerically. Whether these mathematically predicted propagation regime really exist is a hypothesis that can be proved or disproved in an experiment.
Place, publisher, year, edition, pages
2016. 356-359 p., 7731397
Differential equations; Eigenvalues and eigenfunctions; Numerical methods; Ordinary differential equations; Wave propagation, Cauchy problems; Conducting cylinder; Dielectric layer; Nonlinear inhomogeneous medium; Numerical solution; Propagation regimes; Shooting methods; Two-parameter eigenvalue problem, Nonlinear equations
IdentifiersURN: urn:nbn:se:hig:diva-23292DOI: 10.1109/ICEAA.2016.7731397ScopusID: 2-s2.0-85007371718OAI: oai:DiVA.org:hig-23292DiVA: diva2:1064269
18th International Conference on Electromagnetics in Advanced Applications, ICEAA 2016, 19-23 September 2016, Cairns, Australia