Stochastic nonlinear Schrödinger equations in fiber optics
Seminar Room 1, Newton Institute
We will describe in this talk mathematical results concerning stochastic PDEs based on nonlinear Schrödinger equations which model the evolution of the complex envelope of a light beam propagating in an optic fiber.
The first model is concerned with the case of "dispersion managed fibers", and gives rise to a white noise coefficient in front of the dispersion. We will in particular show that this model is the diffusion-approximation limit of a more regular model. The second one is a coupled system of stochastic NLS equations, in which
the stochastic perturbations describe the random effect of birefringence.