PUMP-WAVE EFFECTS ON THE PROPAGATION OF NOISY SIGNALS IN NONLINEAR DISPERSIVE MEDIA

Stochastic field propagation in nonlinear dispersive media is studied in the undepleted-pump approximation in both the normal- and the anoma lous-dispersion regimes. A statistical description of modulational ins tability is given in the anomalous-dispersion regime. Nonlinear disper sive effects are present even in the normal-dispersion regime. Analyti cal results are obtained for the evolution of the power spectrum and t he relative intensity noise and are confirmed by numerical simulations . The results are applied to the four-wave mixing of broadband signals in nonlinear dispersive media.