Some results on a coupled Schrödinger equation driven by random forces

Speaker: Dr. Maxime Gazeau

Affiliation: University of Toronto

The coupled Schrödinger equation was derived in nonlinear optics to model the light propagation in optical fibers. Random forces were then added to take into account a new physical phenomena known as the birefringence.

After stating the domain of validity of the equation and making some assumptions, I will explain how to derive an asymptotic dynamics given by a stochastic partial differential equation driven by three Brownian motions.  I will also give some numerical results and illustrations related to this equation