Photon and phonon statistics of Brillouin scattering

The statistical properties for the couples of modes in Brillouin scattering are derived making use of the coherent state technique. Assuming the initial fields to be coherent, it is shown that periodical antibunching, bunching as well as coherent state behaviour can occur, provided that the anti-Stokes interaction prevails. This is demonstrated with the help of the photocount distributions and their reduced factorial moments.Dedicated to Professor Miroslav Trlifaj on the occasion of his sixtieth birthday.Editorial notice: We regret to record the death of Professor Trlifaj on 10. 2. 1982.The authoress would like to express her sincere thanks to Dr. J. Peina for comments and stimulating discussions.