Nonlinearized nonlinear electromagnetic guided waves in a circle cylindrical waveguide filled with nonlinear dielectric medium

We consider a problem of propagation of monochromatic electromagnetic waves in a circle cylindrical waveguide filled with nonlinear dielectric medium. The permittivity of the waveguide is described by the Kerr law, which is one of the most important nonlinear dependence in nonlinear optics. In order to find guided waves we develop an original mathematical approach that allows us to prove existence of infinitely many guided waves. In addition, we prove that only a finite number of the founded nonlinear guided waves have linear counterparts; the others are nonlinearizable solutions. Numerical results are also presented. (c) 2023 Elsevier Inc. All rights reserved.

Automated summary

This paper investigates the propagation of monochromatic electromagnetic waves in a circular cylindrical waveguide filled with nonlinear dielectric medium. The waveguide's permittivity is described by the Kerr law, which is a significant nonlinear dependence in nonlinear optics. To identify guided waves, the authors develop an original mathematical approach that proves the existence of infinitely many guided waves. Moreover, they demonstrate that only a finite number of the discovered nonlinear guided waves have linear counterparts, and the rest are non-linearizable solutions. Numerical results are also presented.