Evidence of the universal dynamics of rogue waves

Abstract

Light manifests extreme localized waves with long-tail statistics that seem analogous to the still little understood rogue waves in oceans, and optical setups promise to become laboratory test-beds for their investigation. However, to date there is no evidence that optical extreme events share the dynamics of their oceanic counterparts, and this greatly limits our ability to study rogue wave predictability using light. Using the Grassberger-Procaccia embedding method, we here demonstrate that optical spatial rogue wave data in photorefractive crystals has the same predictability and dynamic features of ocean rogue waves. For scales up to the autocorrelation length, a chaotic and predictable behavior emerges, whereas complexity in the dynamics causes long-range predictability to be limited by the finite size of data sets. The appearance of same dynamics validates the conjecture that rogue waves share universal features across different physical systems, these including their predictability.