Repositorio de producción científica de la Universidad de Sevilla

Soliton dynamics in optical fibers using the generalized traveling-wave method

 

Advanced Search
 
Opened Access Soliton dynamics in optical fibers using the generalized traveling-wave method
Cites

Show item statistics
Icon
Export to
Author: Quintero, Niurka R.
Mertens, Franz G.
Efimov, Anatoly
Bishop, Alan R.
Department: Universidad de Sevilla. Departamento de Física Aplicada I
Date: 2016-04-21
Published in: Physical Review E, 93 (4), 042214-1-042214-8.
Document type: Article
Abstract: The generalized traveling wave method (GTWM) is applied to the nonlinear Schrödinger (NLS) equation with general perturbations in order to obtain the equations of motion for an ansatz with six collective coordinates, namely the soliton position, the amplitude, the inverse of the soliton width, the velocity, the chirp, and the phase. The advantage of the new ansatz is that it yields three pairs of canonically conjugated coordinates and momenta that all are well-behaved. The new ansatz is applied to model the dynamics of a soliton in a dispersion-shifted optical fiber described by the generalized NLS, including dissipation, higher-order dispersion, Raman scattering, and self-steepening perturbations. It is shown that the GTWM is equivalent to the modified method of moments, which considers the time variation of the norm, the first and the second moment of the norm, the momentum, the first moment of the momentum, and the energy for the perturbed NLS equation.
Cite: Quintero, N.R., Mertens, F.G., Efimov, A. y Bishop, A.R. (2016). Soliton dynamics in optical fibers using the generalized traveling-wave method. Physical Review E, 93 (4), 042214-1-042214-8.
Size: 796.2Kb
Format: PDF

URI: https://hdl.handle.net/11441/80123

DOI: 10.1103/PhysRevE.93.042214

This work is under a Creative Commons License: 
Attribution-NonCommercial-NoDerivatives 4.0 Internacional

This item appears in the following Collection(s)