The interplay of such cornerstones of modern nonlinear fiber optics as a
nonlinearity, stochasticity and polarization leads to variety of the noise
induced instabilities including polarization attraction and escape phenomena
harnessing of which is a key to unlocking the fiber optic systems
specifications required in high resolution spectroscopy, metrology, biomedicine
and telecommunications. Here, by using direct stochastic modeling, the mapping
of interplay of the Raman scattering-based nonlinearity, the random
birefringence of a fiber, and the pump-to-signal intensity noise transfer has
been done in terms of the fiber Raman amplifier parameters, namely polarization
mode dispersion, the relative intensity noise of the pump laser, fiber length,
and the signal power. The obtained results reveal conditions for emergence of
the random birefringence-induced resonance-like enhancement of the gain
fluctuations (stochastic anti-resonance) accompanied by pulse broadening and
rare events in the form of low power output signals having probability heavily
deviated from the Gaussian distribution.Comment: 22 pages, 15 figure