The Third Harmonic Generation in E-Plane Waveguide on an Inhomogeneous Film with Cubic Nonlinearity

Abstract

In this paper we consider an E-plane waveguide loaded by transversally inhomogeneous nonlinear film. Effects of the third harmonic generation are theoretically investigated. System of nonlinear equations for amplitudes of space-time harmonics is obtained. Phenomenon of resonant increasing of amplitude of the third harmonic caused by combination of film nonlinearity and its transversal inhomogeneity is investigated. Strong hysteresis phenomena are observed when amplitude or frequency of incident wave changes