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arXiv · 1406.0051

Geometric phases of water waves

Francesco Fedele
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Abstract

Recently, Banner et al. (2014) highlighted a new fundamental property of open ocean wave groups, the so-called crest slowdown. For linear narrowband waves, this is related to the geometric and dynamical phase velocities $U_d$ and $U_g$ associated with the parallel transport through the principal fiber bundle of the wave motion with $\mathit{U}(1)$ symmetry. The theoretical predictions are shown to be in fair agreement with ocean field observations, from which the average crest speed $c=U_d+U_g$ with $c/U_d\approx0.8$ and $U_{g}/U_d\approx-0.2$.

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Francesco Fedele. 2014-08-08. Geometric phases of water waves. https://doi.org/10.1209/0295-5075%2F107%2F69001

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