R. Schulz et H. Harde, PULSE GENERATION IN BIREFRINGENT OPTICAL FIBERS BY 4-WAVE-MIXING AND RAMAN-SCATTERING, Journal of the Optical Society of America. B, Optical physics, 12(7), 1995, pp. 1279-1286
Pulse generation in birefringent fibers by four-wave mixing in the pre
sence of Raman scattering is theoretically modeled by a set of coupled
nonlinear Schrodinger equations that are solved numerically. We discu
ss phase matching in the positive group-velocity dispersion regime for
the split-pump configuration, which places the parametric frequency s
hift within the Raman band, and derive the combined initial gain. It:
is found that for shorter fiber lengths the symmetry-breaking roles of
Raman-Stokes gain and Raman-anti-Stokes loss is balanced by four-wave
mixing, resulting in a common effective power, gain for both componen
ts. The importance of the relative phase of the four participating pul
ses as a switching parameter for the direction of the energy flow is d
emonstrated. It is further shown that, as a result of pulse walk-off,
Raman scattering becomes the dominant process for longer fiber lengths
. Theoretical results are compared with experimental cross-correlation
pulse shapes.