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Two-dimensional dissipative rogue waves due to time-delayed feedback in cavity nonlinear optics
Mustapha Tlidi1, Krassimir Panajotov2
1Faculté des Sciences, Optique Nonlinéaire Thérorique, Université libre de B ruxelles (U.L.B.), C.P. 231, Campus Plaine, B-1050 Bruxelles, Belgium.
Chaos (Woodbury, N.Y.)
|February 3, 2017
Summary
We show how time-delayed feedback can spontaneously generate two-dimensional rogue waves in nonlinear optical systems. This feedback controls the formation of these extreme waves, a phenomenon observed in multiple models.
Area of Science:
- Nonlinear optics
- Optical physics
- Wave phenomena
Background:
- Broad area optical systems typically exhibit stationary spatial pulses without feedback.
- Rogue waves are extreme amplitude events with significant implications in various physical systems.
- Understanding the mechanisms for rogue wave generation is crucial for controlling nonlinear optical phenomena.
Purpose of the Study:
- To demonstrate the generation of two-dimensional rogue waves in nonlinear optical systems using time-delayed feedback.
- To investigate the role of delayed feedback in inducing spontaneous rogue wave formation.
- To analyze the characteristics and universality of feedback-induced rogue waves.
Main Methods:
- Simulations of the Lugiato-Lefever model with time-delayed feedback.
- Modeling of a broad-area surface-emitting laser with saturable absorber and time-delayed feedback.
- Statistical analysis of pulse height distributions to identify rogue wave signatures.
Main Results:
- Time-delayed feedback induces spontaneous formation of two-dimensional rogue waves.
- In the absence of feedback, spatial pulses remain stationary.
- Sufficiently strong feedback leads to long-tailed probability distributions, a signature of rogue waves.
- Rogue wave formation is controllable via the delay feedback parameter.
Conclusions:
- Time-delayed feedback is a viable mechanism for generating and controlling two-dimensional rogue waves.
- The spontaneous formation of rogue waves via feedback instability appears to be a universal phenomenon in the studied systems.
- This research offers insights into the fundamental physics of extreme wave events in nonlinear optics.
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