Deterministic Optical Rogue Waves and Chaotic Dynamics

José R. Rios Leite

Short Abstract
Rare and irregular extreme events can occur in many different systems in nature. A typical example is rogue waves observed in the oceans, where waves higher than 30 meters are more or less common phenomena. This fact is in contradiction with Gaussian models often used to describe fluctuations of the wave height in the sea [M. S. Longuet-Higgins, Phil. Trans. Roy. Soc. A 249, 321 (1957) ]. The understanding of the generation of rare extreme events within optical dynamical systems [D. R. Solli, C. Ropers, P. Koonath, B. Jalali, Nature 450, 1054 (2007)] is interesting for itself and can allow to identify mechanisms to control or suppress the occurrence of such events.

We [C. Bonatto, M. Feyereisen, S. Barland, M. Giudici, C. Masoller, J. R. Rios Leite, and J. R. Tredicce, Phys. Rev. Lett. 107, 053901 (2011) ] investigate, both theoretically and experimentally, the appearance of rare giant pulses in a semiconductor laser subject to optical injection. Experimental characterization of the parameter region where the equivalent to rogue waves was done and compared with numerical results from the simplest rate- equation model. It is shown that the sporadic large intensity events can be understood as a result of a deterministic non-linear process [3]. Such view is consistent with the fact that Chaos in Dynamical Systems is well known to explain a wide range of phenomena having erratic behaviour without the need to appeal for the presence of stochastic noise [Chaos in Dynamical Systems, E. Ott, Cambridge University Press Second Ed. (2002)].

Collaborators: C. Bonatto1[1], M. Feyereisen[2], S. Barland[2], M. Giudici[2], C. Masoller[1], J. R. Rios Leite[3], J. R. Tredicce [2]

1 Departament de Fisica i Enginyeria Nuclear, Universitat Politecnica de Catalunya, Colom 11, E-08222 Terrassa, Barcelona, Spain,
2. Univ. Nice Sophia Antipolis, CNRS UMR 6618, Inst. Nonlineaire Nice, F-06560 Valbonne, France,
3. Departamento de Física, Universidade Federal de Pernambuco, 50670-901, Recife, Brazil