Electromagnetic Guided Waves in a Lossless Cubic-Quintic Nonlinear Waveguide

Abstract

Paper focuses on the problem of transverse-electric wave propagation in a lossless cubic-quintic nonlinear waveguide. Using an original tool, we study the problem in detail avoiding the use of special functions. It is shown that a waveguide filled with cubic-quintic nonlinear medium supports infinitely many guided waves in the focusing case. The found solutions are split into a finite number of waves having linear counterparts and an infinite number of waves that stay away from any solution to the corresponding linear problem.