Waves, Solitons and Turbulence in Optical Systems - Abstract

Tlidi, Mustapha

Localized structures ad rogues waves in cavity nonlinear optics

We demonstrate a way to control rogue waves in a broad area nonlinear optical systems subjected to a delayed feedback. The delayed feedback is found to induce a spontaneous formation of rogue waves. In the absence of delayed feedback, spatial pulses are stationary. The rogue waves are exited and controlled by the feedback. We characterize their formation by computing the probability distribution of the pulse height. The long-tailed statistical contribution which is often considered as a signature of the presence of rogue waves appear for sufficiently strong feedback. The generality of our analysis suggests that the instability leading to the spontaneous formation of rogue waves in a controllable way is an universal phenomenon.