Dynamics and instabilities in long SRS fibre lasers with linear and ring cavities

We report results of numerical simulation of the nonlinear dynamics of SRS fibre lasers with linear and ring cavity configurations and of the specific features of manifestation of instabilities of steady-state lasing in fibres with length-periodic modulation of dispersion. The simulation is performed within the approach based on solving transport equations. The dynamics of the SRS laser with linear configuration is found to depend strongly on the coupling of counterpropagating waves at the fibre end faces and radically changes in the presence of reflections at the left or right end faces under asymmetric pumping. The existence of signal beatings in the absence of nonreciprocity (rotation) of the cavity and the presence of coupling between counterpropagating waves is demonstrated for the ring laser. A specific feature of instabilities of the propagation regime of a constant-intensity signal in a fibre with a group-velocity dispersion periodically modulated over length is their occurrence at an arbitrary dispersion sign.