A nonlinear optical fiber with random birefringence is modeled by a system of nonlinear Schrödinger (NLS) equations with stochastic coupling. An average variational principle is used to obtain the approximate evolution of the parameters describing pulses with NLS-soliton-like shapes. Then, in the diffusion limit, the stochastic problem is reduced to a partial differential equation of the Poincaré sphere. Solutions to this equation give probability densities for the polarization state of a propagating pulse.
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics
- Condensed Matter Physics
- Applied Mathematics