Femtosecond Pulse Propagation in Optical Fibers under Higher Order Effects: A Moment Method Approach

Abstract

In this paper, we use the moment method approach to investigate the evolution of pulse parameters in nonlinear medium.The pulse propagation is modelled by higher order nonlinear Schr¨odinger equation (NLSE). The application of moment method leads to variational equations that are be integrated by the fourth order Runge-Kutta method (RK4).The results obtained show the variations of some important parameters of the pulse namely the energy, the pulse position, the frequency shift, the chirp and the width. For this form of the NLSE, the energy and frequency don’t vary.The coefficient of quintic self phase modulation governs the dynamics of the pulse propagation. It reveals the effects of the quintic coefficient α.The moment method is able to study the dynamics of the optical pulse modelled by higher order nonlinear Schrodinger equations.