We report the dependence of Raman gain on the correlation between the
pump and the Stokes waves in a broadband Raman amplifier. Experimental
ly, the Raman correlation function is obtained by measurement of the S
tokes output energy as a function of pump delay. When the Stokes wave
precedes the pump, the Stokes output is larger than in the opposite ca
se. The correlation function becomes more asymmetric as the pump energ
y increases. We propose that this asymmetry is caused by the nonlinear
Raman dispersion. Using a multimode model, we perform numerical simul
ations to confirm this idea. The results of the simulations agree well
with the experimental data. (C) 1995 Optical Society of America