Nonlinear Dynamics in Semiconductor Lasers - Abstract
Gurevich, Svetlana
Recently, the existence of robust three-dimensional light bullets (LBs) was predicted theoretically in the output of a laser coupled to a distant saturable absorber. We analyze the stability and the range of existence of these dissipative localized structures and provide realistic parameter sets for their observation. We first approximate the three-dimensional problem by a reduced equation governing the dynamics of the transverse profile. This effective theory allows us to perform a detailed multiparameter bifurcation study and to identify the different mechanisms of possible spatial instabilities. It is found that the LBs experience dominantly either homogeneous oscillation or symmetry-breaking transversal wave radiation. In addition, we study the temporal instabilities of LBs. For large yet realistic values of the linewidth enhancement factor, we disclose the existence of secondary dynamical instabilities where the pulses develop regular and subsequent irregular temporal oscillations. Finally, by a detailed bifurcation analysis we show that additional solution branches that consist in multi-pulse solutions exist.