### Stochastic nonlinear Schrödinger equations in fiber optics

**de Bouard, A ***(CMAP)*

Monday 04 January 2010, 15:30-16:30

Seminar Room 1, Newton Institute

#### Abstract

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.

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