On the quantum theory of stimulated Raman scattering

A fully quantum mechanical density-matrix formalism of stimulated Raman scattering is presented. The effects of atomic motion, non-linear parameters and loss are included. The equations are solved to fourth-order in atom-field coupling constant. The steady-state Stokes-photon distribution is studied. A study of an approximate time-dependent case is also discussed. The results show that only a fraction of incident pump photons can be converted to Stokes photons.