On statistical effects on stimulated Raman cross-talk

We provide a statistical model that accounts for the effects of dispersion on stimulated Raman scattering cross-talk in wavelength division multiplexed systems with random initial binary data. When either the input power is not too large or the number of channels involved is moderate or the transmission distance is small, channels are found to follow a Binomial probability distribution that is the same for channels symmetric with respect to the middle one. This distribution can be approximated by a Gaussian when the number of channels is not too small. Our model works for any fibre dispersion or number of channels