Radiative asymptotic behavior of stimulated Raman scattering

This paper uses an integrable model to study an asymptotic solution describing the transformation of energy occurring in stimulated Raman scattering. The model allows for motion of populations and for the nonlinear Stark effect. Initial conditions leading to a radiative solution are discussed. The boundary conditions reflect the injection into the medium of high-power pulses of constant-amplitude pump and Stokes fields. It is shown that the radiative asymptotic behavior of this problem in the limit of weak medium excitation and in the limit of rapidly varying intense fields is determined by the kernels of Marchenko equations that are proportional to functions depending only on a self-similar variable. Analytic solutions are found for these cases. Detailed numerical calculations carried out for weak fields corroborate the analytic results. The role of the soliton part of the continuous spectrum of the problem is also studied. It is found that a high-power soliton of the Stokes field can be generated at the leading edge of a wave packet. Zh. éksp. Teor. Fiz. 115, 1168–1195 (April 1999)