Controlling the likelihood of rogue waves in an optically injected semiconductor laser via direct current modulation

Extreme and rare events are nowadays the object of intensive research. Rogue waves are extreme waves that appear suddenly in many natural systems, even in apparently calm situations. Here we study numerically the rogue wave dynamics in an optically injected semiconductor laser with external periodic forcing that is implemented via direct modulation of the laser pump current. In the region of optical injection parameters where the laser intensity is chaotic and occasional ultrahigh pulses occur, our aim is to control the system by applying a weak modulation. We find that for an adequate range of frequency and amplitude parameters, the modulation can completely suppress the extreme pulses. We also show that the interplay between modulation and an external source of noise can significantly modify their probability of occurrence. These results can motivate a range of experimental and theoretical investigations in other natural systems. © 2014 American Physical Society.This research was supported in part by the Spanish Ministerio de Ciencia e Innovación through projects FIS2012-37655-C02-01 and FIS2011-29734-C02-01, the Air Force Office Scientific Research through project FA-8655-10-1-3075, and by the Agència de Gestió d'Ajuts Universitaris i de Recerca (AGAUR), Generalitat de Catalunya, through project 2009 SGR 1168. C.M. also acknowledges the ICREA foundation for financial support. J.Z.M. acknowledges the support by Ministerio de Economia y Competitividad (Spain) under the INTENSE @COSYP project FIS2012-30634.Peer Reviewe