Geometric phases of water waves
School of Civil and Environmental Engineering, School of Electrical and Computer Engineering, Georgia Institute of Technology - Atlanta 30332, GA, USA
Received: 29 May 2014
Accepted: 29 August 2014
Recently, Banner et al. (Phys. Rev. Lett., 112 (2014) 114502) highlighted a new fundamental property of open ocean wave groups, the so-called crest slowdown. For linear narrow-band waves, this is related to the geometric and dynamical phase velocities Ud and Ug associated with the parallel transport through the principal fiber bundle of the wave dynamics with U(1) symmetry. The theoretical predictions are shown to be in fair agreement with ocean field observations, from which the average crest speed with and .
PACS: 92.10.Hm – Ocean waves and oscillations / 02.40.Dr – Euclidean and projective geometries / 03.65.Vf – Phases: geometric; dynamic or topological
© EPLA, 2014