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Quantum Mechanical and Optical Analogies in Surface Gravity Water Waves

1
Raymond and Beverly Sackler School of Physics & Astronomy, Faculty of Exact Sciences, Tel Aviv University, Tel Aviv 69978, Israel
2
Department of Physical Electronics, Faculty of Engineering, Tel-Aviv University, Tel-Aviv 69978, Israel
3
Department of Optoelectronic Engineering, Jinan University, Guangzhou 510632, China
4
School of Mechanical Engineering, Faculty of Engineering, Tel-Aviv University, Tel-Aviv 69978, Israel
*
Author to whom correspondence should be addressed.
Fluids 2019, 4(2), 96; https://doi.org/10.3390/fluids4020096
Received: 14 February 2019 / Revised: 1 April 2019 / Accepted: 26 April 2019 / Published: 27 May 2019
(This article belongs to the Special Issue Nonlinear Wave Hydrodynamics)
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Abstract

We present the theoretical models and review the most recent results of a class of experiments in the field of surface gravity waves. These experiments serve as demonstration of an analogy to a broad variety of phenomena in optics and quantum mechanics. In particular, experiments involving Airy water-wave packets were carried out. The Airy wave packets have attracted tremendous attention in optics and quantum mechanics owing to their unique properties, spanning from an ability to propagate along parabolic trajectories without spreading, and to accumulating a phase that scales with the cubic power of time. Non-dispersive Cosine-Gauss wave packets and self-similar Hermite-Gauss wave packets, also well known in the field of optics and quantum mechanics, were recently studied using surface gravity waves as well. These wave packets demonstrated self-healing properties in water wave pulses as well, preserving their width despite being dispersive. Finally, this new approach also allows to observe diffractive focusing from a temporal slit with finite width. View Full-Text
Keywords: surface gravity water waves; nonlinear schrodinger equation; cubic phase; airy wavepacket surface gravity water waves; nonlinear schrodinger equation; cubic phase; airy wavepacket
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Rozenman, G.G.; Fu, S.; Arie, A.; Shemer, L. Quantum Mechanical and Optical Analogies in Surface Gravity Water Waves. Fluids 2019, 4, 96.

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