Ideal Four Wave Mixing Dynamics in a Nonlinear Schrödinger Equation Fibre System

Anastasiia Sheveleva (1) , Ugo Andral (1) , Bertrand Kibler (1) , Pierre Colman (1) , J.M. Dudley (2) , Christophe Finot (1)

1 ICB - Laboratoire Interdisciplinaire Carnot de Bourgogne
2 FEMTO-ST - Franche-Comté Électronique Mécanique, Thermique et Optique - Sciences et Technologies (UMR 6174)

Near-ideal four wave mixing dynamics are observed in a nonlinear Schrödinger equation system using a new experimental technique associated with iterated sequential initial conditions in optical fiber. This novel approach mitigates against unwanted sideband generation and optical loss, extending the effective propagation distance by two orders of magnitude, allowing Kerr-driven coupling dynamics to be seen over 50 km of optical fiber using only one short fiber segment of 500 m. Our experiments reveal the full dynamical phase space topology in amplitude and phase, showing characteristic features of multiple Fermi-Pasta-Ulam recurrence cycles, stationary wave existence, and the system separatrix boundary. Experiments are shown to be in excellent quantitative agreement with numerical solutions of the canonical differential equation system describing the wave evolution.

Domaines: Optique [physics.optics]

Anastasiia Sheveleva, Ugo Andral, Bertrand Kibler, Pierre Colman, J.M. Dudley, et al.. Ideal Four Wave Mixing Dynamics in a Nonlinear Schrödinger Equation Fibre System. Optica, inPress. ⟨hal-03607327v1⟩