Capillary rogue waves

Abstract

We report the first observation of extreme wave events (rogue waves) in parametrically driven capillary waves. Rogue waves are observed above a certain threshold in forcing. Above this threshold, frequency spectra broaden and develop exponential tails. For the first time we present evidence of strong four-wave coupling in non-linear waves (high tricoherence), which points to modulation instability as the main mechanism in rogue waves. The generation of rogue waves is identified as the onset of a distinct tail in the probability density function of the wave heights. Their probability is higher than expected from the measured wave background.

4 pages, 5 figures

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• Modulation instability, Akhmediev Breathers and continuous wave supercontinuum generation
• Observation of an Inverse Energy Cascade in Developed Acoustic Turbulence in Superfluid Helium
• Phase randomization of three-wave interactions in capillary waves

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