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Raman pulse walk-off in single-mode fibers: an exact analysis

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Abstract

Generation and amplification of Stokes radiation in a single-mode fiber is investigated theoretically by a two-wavelength model that accounts for spontaneous scattering, pump depletion, walk-off owing to group-velocity dispersion, and phase modulation. The model is solved exactly for arbitrary initial pump and Stokes waveforms at the fiber input. The solution is evaluated for the case of Stokes generation from spontaneous scattering and for the amplification of an injected Stokes pulse when the fiber is pumped by 100-psec pulses under complete walk-off conditions. In the former case, it is found that the peak Stokes output power is bounded by the input pump waveform, and, in the latter, that the amplified Stokes pulse shape is insensitive to the precise shape of the pump pulse. Further characteristics of the interaction are extracted from the solution.

© 1989 Optical Society of America

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