Generation of acoustic rogue waves in dusty plasmas through three-dimensional particle focusing by distorted waveforms

Abstract

Rogue waves have been observed in fluids and other wave contexts. Experiments now show the formation of 3D acoustic rogue waves in dusty plasmas; they result from wave–particle interactions driving the dust particles into high-amplitude dynamics. Rogue waves—rare uncertainly emerging localized events with large amplitudes—have been experimentally observed in many nonlinear wave phenomena, such as water waves1,2,3,4,5,6, optical waves7,8, second sound in superfluid He II (ref. 9) and ion acoustic waves in plasmas10. Past studies have mainly focused on one-dimensional (1D) wave behaviour through modulation instabilities1,3,4,5,7,11, and to a lesser extent on higher-dimensional behaviour5,6,8,11,12. The question whether rogue waves also exist in nonlinear 3D acoustic-type plasma waves, the kinetic origin of their formation and their correlation with surrounding 3D waveforms are unexplored fundamental issues. Here we report the direct experimental observation of dust acoustic rogue waves in dusty plasmas and construct a picture of 3D particle focusing by the surrounding tilted and ruptured wave crests, associated with the higher probability of low-amplitude holes for rogue-wave generation.