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Stokes--Anti-Stokes Gain Suppression In The Transient Regime

Analytic and numerical solutions are presented of the equations describing the propagation of several pulses of different frequencies through a Raman medium. The transient case is treated, and the analysis includes Stokes, pump, and anti-Stokes frequency components. An analytic solution is found that describes the phenomenon of gain suppression in the case of perfect phase matching, Ak=0. For nonzero values of Ak, numerical solutions show that the transient gain coefficient follows a scaling rule analogous to the result known from the steady-state limit. Stokes amplification is suppressed for Ak=0 but reappears rapidly in the transient case as phase matching is lost.