Dispersion Management of Propagating Waveguide Modes on the Water Surface

Shenhe Fu, Jianying Zhou, Yongyao Li, Lev Shemer, Ady Arie

Research output: Contribution to journalArticlepeer-review

Abstract

We report on the theoretical and experimental study of the generation of propagating waveguide modes on the water surface. These propagating modes are modulated in the transverse direction in a manner that satisfies boundary conditions on the walls of the water tank. It is shown that the propagating modes possess both anomalous and normal dispersion regimes, in contrast to the extensively studied zero mode that, in the case of deep water, only has normal dispersion with a fixed frequency independent dispersion coefficient. Importantly, by using a carrier frequency at which the group velocity dispersion crosses zero, a linear nonspreading and shape-preserving wave packet is observed. By increasing the wave steepness, nonlinear effects become pronounced, thereby enabling the first observation of linearly chirped parabolic water wave pulses in the anomalous dispersion regime. This parabolic wave maintains its linear frequency chirp and does not experience wave breaking during propagation.

Original languageEnglish
Article number144501
JournalPhysical Review Letters
Volume118
Issue number14
DOIs
StatePublished - 5 Apr 2017

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