Tomographic Description of Stimulated Brillouin Scattering of Light

The process of stimulated Brillouin scattering is described by the twodimensional oscillator model. Photons of the Stokes mode are described by one mode of the oscillator, and acoustic phonons are described by the other mode. The interaction of photons and acoustic phonons is assumed to be quadratic in the creation and annihilation operators of photons and phonons. The laser is considered as a classical light source and its depletion is neglected. New timedependent integrals of motion and the photon–phonon probability distribution function are found. The mean Stokes photon number and the mean acoustic phonon number are expressed as functions of the medium parameters (initial dispersions) and the interaction parameter (coupling constant). The classical propagator for stimulated Brillouin scattering and tomograms of the photon and phonon states are investigated within the framework of the symplectictomography scheme.