Manipulation of light in a generalized coupled Nonlinear Schrodinger equation

Abstract

We investigate a generalized coupled nonlinear Schrodinger (GCNLS) equation containing Self-Phase Modulation (SPM), Cross-Phase Modulation (XPM) and Four Wave Mixing (FWM) describing the propagation of electromagnetic radiation through an optical fibre and generate the associated Lax-pair. We then construct bright solitons employing gauge transformation approach. The collisional dynamics of bright solitons indicates that it is not only possible to manipulate intensity (energy) between the two modes (optical beams), but also within a given mode unlike the Manakov model which does not have the same freedom. The freedom to manipulate intensity (energy) in a given mode or between two modes arises due to a suitable combination of SPM, XPM and FWM.While SPM and XPM are controlled by an arbitrary real parameter each, FWM is governed by two arbitrary complex parameters. The above model may have wider ramifications in nonlinear optics and Bose-Einstein Condensates (BECs).

arXiv commentCommunications in Nonlinear Science and Numerical Simulation, In Press

References in corpus (4)

• Inelastic Collision and Switching of Coupled Bright Solitons in Optical Fibers
• Painlevé analysis of the coupled nonlinear Schrödinger equation for polarized optical waves in an isotropic medium
• Rotation of the Trajectories of Bright soliton and Realignment of Intensity Distribution in the Coupled Nonlinear Schrodinger Equation
• An Analytical Window into the World of Ultracold Atoms