Propagation of TE waves in a double-layer nonlinear inhomogeneous cylindrical waveguide

Abstract

The problem of propagation of monochromatic electromagnetic TE waves in a double-layer cylindrical dielectric waveguide filled with nonlinear inhomogeneous medium is considered. The physical problem is reduced to solving a nonlinear transmission eigenvalue problem for ordinary differential equation. Eigenvalues of the problem are the propagation constants of the waveguide. The paper proposes a method to determine approximate eigenvalues of the nonlinear problem. This method is based on solving an auxiliary Cauchy problem (the shooting method). Existence of the eigenvalues, which correspond to a new propagation regime, is predicted. A comparison with the linear case is given.

Nonlinear Propagation of Leaky Te-Polarized Electromagnetic Waves in a Metamaterial Goubau Line

“…A background study concerning nonlinear guided waves in media with Kerr and Kerr-like nonlinearities can be found in [14,15,20,24]. In papers [16,17,18,19,21,22] numerical study in layered nonlinear dielectric and metal-dielectric waveguides is performed. Numerical results are obtained with the help of a version of the shooting method (see e.g.…”