Multipulse excitability in injected lasers

We show that a single-mode semiconductor laser subject to optical injection, and described by rate equations, can produce excitable multipulses, where the laser emits a certain number of pulses after being triggered from its steady state by a single perturbation. This phenomenon occurs in experimentally accessible regions in parameter space that are bounded by curves of n-homoclinic bifurcations, connecting a saddle to itself only at the n-th return to a neighborhood of the saddle. These regions are organised in what we call `homoclinic teeth' that grow in size and shape with the linewidth enhancement factor.