We demonstrate a way to generate two-dimensional rogue waves in two types of broad area nonlinear optical systems subject to time-delayed feedback: in the generic Lugiato-Lefever model and in the model of a broad-area surface-emitting laser with saturable absorber. 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 delay 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, appears for sufficiently strong feedback. The generality of our analysis suggests that the feedback induced instability leading to the spontaneous formation of two-dimensional rogue waves is a universal phenomenon.
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Two-dimensional dissipative rogue waves due to time-delayed feedback in cavity nonlinear optics
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January 2017
Research Article|
January 25 2017
Two-dimensional dissipative rogue waves due to time-delayed feedback in cavity nonlinear optics
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Mustapha Tlidi;
Mustapha Tlidi
1Faculté des Sciences, Optique Nonlinéaire Thérorique,
Université libre de B ruxelles (U.L.B.)
, C.P. 231, Campus Plaine, B-1050 Bruxelles, Belgium
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Krassimir Panajotov
Krassimir Panajotov
2Department of Applied Physics and Photonics (IR-TONA),
Vrije Universiteit Brussels
, Pleinlaan 2, B-1050 Brussels, Belgium
3
Institute of Solid State Physics
, 72 Tzarigradsko Chaussee Blvd., 1784 Sofia, Bulgaria
Search for other works by this author on:
Mustapha Tlidi
1
Krassimir Panajotov
2,3
1Faculté des Sciences, Optique Nonlinéaire Thérorique,
Université libre de B ruxelles (U.L.B.)
, C.P. 231, Campus Plaine, B-1050 Bruxelles, Belgium
2Department of Applied Physics and Photonics (IR-TONA),
Vrije Universiteit Brussels
, Pleinlaan 2, B-1050 Brussels, Belgium
3
Institute of Solid State Physics
, 72 Tzarigradsko Chaussee Blvd., 1784 Sofia, Bulgaria
Chaos 27, 013119 (2017)
Article history
Received:
November 17 2016
Accepted:
January 11 2017
Citation
Mustapha Tlidi, Krassimir Panajotov; Two-dimensional dissipative rogue waves due to time-delayed feedback in cavity nonlinear optics. Chaos 1 January 2017; 27 (1): 013119. https://doi.org/10.1063/1.4974852
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