  We present a numerical study of the pulses displayed by a semiconductor laser
with optical feedback in the short cavity regime, such that the external cavity
round trip time is smaller than the laser relaxation oscillation period. For
certain parameters there are occasional pulses, which are high enough to be
considered extreme events. We characterize the bifurcation scenario that gives
rise to such extreme pulses and study the influence of noise. We demonstrate
intermittency when the extreme pulses appear and hysteresis when the attractor
that sustains these pulses is destroyed. We also show that this scenario is
robust under the inclusion of noise.
