Numerical analysis of electromagnetic wave propagation in metal-dielectric waveguides filled with nonlinear medium
2016 (English)In: 2016 Progress In Electromagnetics Research Symposium, PIERS 2016 - Proceedings, 2016, 222-226 p., 7734297Conference paper (Refereed)
The propagation of monochromatic electromagnetic waves in metal-dielectric waveguides of simple geometry (circular cylindrical) filled with nonlinear inhomogeneous medium is considered. The Kerr nonlinearity is 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. Â© 2016 IEEE.
Place, publisher, year, edition, pages
2016. 222-226 p., 7734297
Circular waveguides; Dielectric waveguides; Differential equations; Eigenvalues and eigenfunctions; Electromagnetic wave propagation; Electromagnetic waves; Nonlinear equations; Ordinary differential equations; Waveguides, Metal-dielectric waveguide; Nonlinear inhomogeneous medium; Nonlinear problems; Nonlinear transmission; Propagation constant; Propagation regimes; Simple geometries; System of ordinary differential equations, Problem solving
IdentifiersURN: urn:nbn:se:hig:diva-23270DOI: 10.1109/PIERS.2016.7734297ScopusID: 2-s2.0-85006778867ISBN: 978-150906093-1 OAI: oai:DiVA.org:hig-23270DiVA: diva2:1063669
2016 Progress In Electromagnetics Research Symposium, PIERS 2016, 8-11 August 2016, Shanghai, China