Manipulation of light in a generalized coupled Nonlinear Schrodinger equation

TL;DR

This paper explores a generalized coupled nonlinear Schrödinger equation with SPM, XPM, and FWM, demonstrating how to manipulate light intensity in optical fibers and BECs through soliton interactions.

Contribution

It introduces a generalized model with controllable parameters allowing flexible manipulation of soliton energy distribution, unlike traditional models.

Findings

Constructed bright solitons using gauge transformation

Demonstrated energy manipulation between and within modes

Potential applications in nonlinear optics and BECs

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).