Evolution of a Gaussian pulse in negative index Kerr medium about threshold intensity: A numerical simulation

Abstract

Temporal evolution of a pico-sec Gaussian pulse is numerically simulated in a representative intensity dependent negative index Kerr medium about a threshold intensity to study the effect of Kerr non-linearity on a propagating pulse, using the non-linear Schroedinger equation solved by split step Fourier method. Results are obtained for both dispersive and non-dispersive cases, that show the pulse to bear characteristics of a fundamental soliton. Moreover, the speed of the soliton i.e., the group velocity may be controlled by tuning the intensity of the pulse around the threshold. Overall, the analysis indicates prospect of an intensity dependent non-linear transmission material with the provision to control transmission speed through intensity tuning.