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We investigate the evolution of coherence property of noise-seeded Stokeswave in short (< 1 ps) and long pulse (> 1 ps) regimes. Nonlinear equationsexpressing the evolution of pump and Stokes wave are solved numerically forboth the regions. The simulations include quantum noise by incorporating noiseseed in the pump field where one photon per mode with random phase. Thespectral phase fluctuations of the Stokes wave for both the regions, arecharacterized by performing multiple simulations and finally, the degrees offirst-order mutual coherence are calculated as a function of wavelength fordifferent conditions. Our statistical analysis proclaim that noise-seededstimulated Raman process, which plays the role in degradation of coherence inshort pulse region, exhibits strong phase synchronization in long pulse regime.The manifestation of phase synchronization occurs by the transition of theStokes wave from incoherent to coherent spectra in long pulse regime.

Phase Synchronization of Stimulated Raman Process in Optical Fiber For Long Pulse Regime