On the effect of random inhomogeneities in Kerr-media modelled by non-linear Schrodinger equation

TL;DR

This paper investigates how random impurities in optical fibers influence pulse propagation, soliton formation, and signal decay using a nonlinear Schrödinger equation model, providing insights into fiber inhomogeneity effects.

Contribution

It introduces a model incorporating random inhomogeneities into the nonlinear Schrödinger equation to analyze their impact on optical pulse dynamics.

Findings

Impurities affect the number of solitons generated.

Inhomogeneities influence signal intensity decay.

The mean dissipation distance is quantified.

Abstract

We consider propagation of optical pulses under the interplay of dispersion and Kerr non-linearity in optical fibres with impurities distributed at random uniformly on the fibre. By using a model based on the non-linear Schrodinger equation we clarify how such inhomogeneities affect different aspects such as the number of solitons present and the intensity of the signal. We also obtain the mean distance for the signal to dissipate to a given level.