Soliton and rogue wave statistics in supercontinuum generation in photonic crystal fibre with two zero dispersion wavelengths

Bertrand Kibler (1) , Christophe Finot (1) , John M. Dudley (2)

1 ICB - Laboratoire Interdisciplinaire Carnot de Bourgogne
2 FEMTO-ST - Franche-Comté Électronique Mécanique, Thermique et Optique - Sciences et Technologies (UMR 6174)

Stochastic numerical simulations are used to study the statistical properties of supercontinuum spectra generated in photonic crystal fibre with two zero dispersion wavelengths. For picosecond pulse excitation, we examine how the statistical properties of solitons generated on the long wavelength edge of the supercontinuum (``optical rogue waves") are modified by energy transfer to dispersive waves across the second zero dispersion wavelength. The soliton statistics (characterized in terms of peak power, wavelength and pulse duration) are shown to be strongly modified by the mechanism of dispersive wave generation, with the detailed form of the probability distribution depending strongly on input pulse energy.

Domaines: Optique [physics.optics]

Bertrand Kibler, Christophe Finot, John M. Dudley. Soliton and rogue wave statistics in supercontinuum generation in photonic crystal fibre with two zero dispersion wavelengths. The European Physical Journal. Special Topics, 2009, 173 (1), pp.289-295. ⟨10.1140/epjst/e2009-01081-y⟩. ⟨hal-00408633⟩