Higher Order Coherent Raman Effects

Abstract

With the recently available very intense coherent maser light, interesting higher order coherent Raman effects have been observed in solids, liquids, and gases. Garmire, Pandarese, and Townes have given a phenomenological theory of these higher order coherent Raman effects. In this paper a somewhat more detailed theory of these effects is given. The analysis is based on a perturbation solution of the Boltzmann equation for the density matrix of the Raman active medium. General expressions for all the relevant induced dipole moments and absorbed or emitted Stokes and anti-Stokes radiations in the ordinary or higher order coherent Raman processes are given. These cover a great variety of possible experimental situations. Several specific simple examples are studied in some detail and the results of the phenomenological theory are reproduced from the general results given here.