Abstract
We calculate the probability distribution for the population of the final state in transient off-resonant Raman scattering. We find that in the limit of large numbers of Stokes photons, the distribution is essentially exponential implying that the most probable value for the final state population is near zero. This is the same form as the Stokes pulse energy statistics, which has already been discussed in the literature. Further we discuss the meaning of the correlation length and we define a normalized spatial population correlation function. This function can be measured and contains new information about the scattering process.
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