Parametric Modulation Instability in Dual Polarization Driven Passive Fiber Cavities Induced by Periodic Polarization Rotation

We investigate theoretically and numerically the generation of parametric modulation instability in a cavity made of a highly birefringence polarization maintaining fiber with periodic rotation of the intracavity light field through a Faraday rotator. We developed a model based on a two couple nonlinear Schrödinger equations describing the propagation of the linearly polarized components along the principal axes of the fiber and boundary conditions accounting for the coupler and the periodic rotation of the polarization state of the intracavity field. Analytical predictions obtained with a linear stability analysis and Floquet theory, are validated by numerical simulations, and generation of new parametric MI branches, with regards to the scalar case, is highlighted.