Spatial and temporal evolution of transient stimulated-Brillouins-cattering slow-light pulse in an optical fiber

Slow-light technology via stimulated Brillouin scattering (SBS) in an optical fiber has attracted a lot of attention owing to its flexible gain spectrum tailoring capacity, good compatibility with existing telecommunication systems, and great application for photonic switchers and routers in ultra-high-speed photonic networks. In this paper we present a general theoretical model for analyzing the dynamic behavior of the nonlinear interactions of the transient SBS process based on the three-wave coupled-amplitude equations for the pump, Stokes and acoustic waves. Spatial and temporal evolution of a generating slow-light pulse with the duration of sub-nanosecond under double broadband pump case is accurately simulated owing to the fact that our model includes the second-order derivative of the acoustic field. We conclude that the origin of the pulse broadening and distortion can be explained in terms of the temporal decay of the induced acoustic field.