SOLITONS, COLLAPSES
AND TURBULENCE

Picozzi A.   Randoux S.  

Nonlinear propagation of incoherent waves in single-mode fibers : experiments and theory

We present a theoretical and experimental study of  the nonlinear propagation of partially incoherent optical waves in single mode optical fibers. We revisit the traditional treatment of the wave turbulence theory to provide a statistical kinetic description of the integrable scalar NLS equation. We theoretically and numerically show  the existence of an irreversible evolution toward a statistically stationary state. We report the experimental observation of this peculiar relaxation process of the one dimension NLS equation.