Femtosecond Pulse Propagation in Optical Fibers under Higher Order Effects: A Moment Method Approach
Fessomon Koki
International Chair of Mathematical Physics and Applications (ICMPA-Unesco Chair), University of Abomey-Calavi, Benin.
Gaston Edah
D´epartement de Physique, Faculte des Sciences et Techniques, University of Abomey-Calavi, Benin.
GaEtan Djossou
International Chair of Mathematical Physics and Applications (ICMPA-Unesco Chair), University of Abomey-Calavi, Benin.
Ezivi Baloitcha
International Chair of Mathematical Physics and Applications (ICMPA-Unesco Chair), University of Abomey-Calavi, Benin and D´epartement de Physique, Facult´e des Sciences et Techniques, University of Abomey-Calavi, Benin.
Minadohona Maxime Capo-Chichi *
Laboratory of Radiations Physics, Facult ´e des Sciences et Techniques, University of Abomey-Calavi, Benin.
*Author to whom correspondence should be addressed.
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.
Keywords: Optical soliton, moment method, higher order nonlinear Schr¨odinger equation, nonlinear optical phenomena