Pairwise interactions of optical pulses lead to the creation of four-wave mixing products in the presence of periodic damping and amplification. In this talk, we give an overview of the analysis of how these four-wave mixing products are affected by small to moderate random dispersion. The analysis is fairly general, but is typically applied to sech-type and/or Gaussian-type input pulses. We use a reduced ODE model for the FWM product growth to show that these FWM products decrease as a function of the noise strength, $\bar{D}$. This work shows that weak random dispersion can effectively mitigate the deleterious effects of
four-wave mixing in certain optical fiber systems.

Keywords:

Resonance condition; noise strength; Norm (L2) of the four-wave mixing.

Lecture #13338

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