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

## TL;DR

This paper studies the coherence evolution of noise-seeded Stokes waves in optical fibers, revealing a transition from incoherence to coherence in long pulse regimes due to phase synchronization.

## Contribution

It demonstrates that noise-seeded stimulated Raman processes exhibit strong phase synchronization in long pulse regimes, a transition not previously characterized.

## Key findings

- Coherence degrades in short pulses due to noise.
- Long pulses show strong phase synchronization.
- Spectral coherence transitions from incoherent to coherent.

## Abstract

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