Abstract
We develop a theoretical model for a unidirectional ring laser consisting of an isotropic active medium inside a cavity containing a birefringent Kerr cell. We analyze the dynamical behavior of the system as we modulate the voltage applied to the Kerr cell. We discuss the bifurcation diagram and we study the regions of control parameter space where it becomes possible to observe and predict extreme events.
Highlights
Lasers have been used as test benches for nonlinear dynamics in many different configurations, some of them requiring a complicated set up or involving a very large number of degrees of freedom
Lasers with a modulated parameter are able to display a large variety of dynamical regimes [1,2,3,4]
Period doubling transition to chaos [2,3,4], intermittency, crisis of chaotic attractors [5,6,7], and optical rogue waves [8,9,10] are among possible observed phenomena
Summary
Lasers have been used as test benches for nonlinear dynamics in many different configurations, some of them requiring a complicated set up or involving a very large number of degrees of freedom. Period doubling transition to chaos [2,3,4], intermittency, crisis of chaotic attractors [5,6,7], and optical rogue waves [8,9,10] are among possible observed phenomena. Modulation of cavity losses [3], cavity length [4], and pump rate [11] have been reported as mechanisms generating chaotic behavior in Class B lasers. Optical rogue waves are high intensity pulses much larger than average and rare events [8,9,10, 12,13,14,15,16,17]. The analysis of the physical mechanism at the origin of extreme events remains difficult in those experiments and models
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