The European Physical Journal Special Topics

, Volume 185, Issue 1, pp 135–144

On the statistical interpretation of optical rogue waves


DOI: 10.1140/epjst/e2010-01244-9

Cite this article as:
Erkintalo, M., Genty, G. & Dudley, J. Eur. Phys. J. Spec. Top. (2010) 185: 135. doi:10.1140/epjst/e2010-01244-9


Numerical simulations are used to discuss various aspects of “optical rogue wave” statistics observed in noise-driven fiber supercontinuum generation associated with highly incoherent spectra. In particular, we consider how long wavelength spectral filtering influences the characteristics of the statistical distribution of peak power, and we contrast the statistics of the spectrally filtered SC with the statistics of both the peak power of the most red-shifted soliton in the SC and the maximum peak power across the full temporal field with no spectral selection. For the latter case, we show that the unfiltered statistical distribution can still exhibit a long-tail, but the extreme-events in this case correspond to collisions between solitons of different frequencies. These results confirm the importance of collision dynamics in supercontinuum generation. We also show that the collision-induced events satisfy an extended hydrodynamic definition of “rogue wave” characteristics.

Copyright information

© EDP Sciences and Springer 2010

Authors and Affiliations

  1. 1.Tampere University of Technology, Institute of Physics, Optics LaboratoryTampereFinland
  2. 2.Département d’Optique P.M. Duffieux, Institut FEMTO-ST, UMR 6174, CNRS-Université de Franche-ComtéBesançonFrance