On the existence of non-polarized azimuthal-symmetric electromagnetic waves in circular metal-dielectric waveguide filled with nonlinear radially inhomogeneous medium

Abstract

Propagation of monochromatic nonlinear symmetric hybrid waves in a cylindrical nonlinear inhomogeneous metal–dielectric waveguide is considered. The physical problem is reduced to solving a transmission eigenvalue problem for a system of ordinary differential equations where spectral parameters are the wave propagation constants. The setting under study is reduced to a new type of nonlinear eigenvalue problem. An analytical method for solving this problem is elaborated. 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.

Keywords:

• Goubau line
• non-polarized azimuthal-symmetric electromagnetic waves
• Kerr nonlinearity
• nonlinear inhomogeneous waveguide
• Maxwell’s equations
• two-parameter eigenvalue problem
• numerical method

Notes

No potential conflict of interest was reported by the authors.

Additional information

Funding

This study is supported by the Ministry of Education and Science of the Russian Federation [grant number 1.894.2017/4.6].