Abstract

The question of the cumulative effect of multiple pulses on the Raman threshold for a pulse train has recently attracted some experimental attention.¹ Although this problem can be modeled in a straightforward manner by integrating the transient equations for Raman scattering,² the temporal resolution required to view the development of the individual pulses in the case of short pulses compared to the interpulse period may be prohibitive if the conversion reaches steady state only after many pulses. By making a physical argument as to the meaning of the quasisteady-state regime in transient stimulated Raman scattering, we are able to develop a method for easily calculating the pump-Stokes conversion by examining only a single pulse in a train which has reached equilibrium. The medium polarization at the beginning of the pulse is solved self-consistently assuming periodic boundary conditions and uses as an initial condition in the integration.

© 1987 Optical Society of America