Four-wave mixing of the fundamental, Stokes and anti-Stokes waves in a single-mode birefringerent fiber: influence of initial conditions on nonlinear dynamics of exchange among the waves.

In this paper, we consider interaction of the fundamental wave polarized both along fast and slow axes of the single-mode birefringerent fiber with Stokes and anti-Stokes waves with orthogonal polarizations 2 ω 0 = ω 1 + ω 2 . The evolution equations can be derived from the wave equation in the slowly varying envelope approximation. For example, we present equation describing dynamics of Stokes wave E1: where Δk is mismatch of the wave vectors.