On Natural Modulational Bandwidth of Deep-Water Surface Waves

On Natural Modulational Bandwidth of Deep-Water Surface Waves

We suggest that there exists a natural bandwidth of wave trains, including trains of wind-generated waves with a continuous spectrum, determined by their steepness. Based on laboratory experiments with monochromatic waves, we show that, if no side-band perturbations are imposed, the ratio between th...

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Bibliographic Details
Main Authors: Alexander V. Babanin, Miguel Onorato, Luigi Cavaleri
Format: Article
Language:English
Published: MDPI AG 2019-04-01
Series:Fluids
Subjects:
modulational instability
nonlinear waves
wave groups
Online Access:https://www.mdpi.com/2311-5521/4/2/67
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spelling doaj-170b2676d62f4bf6b546cb66aa904fad2020-11-24T21:26:02ZengMDPI AGFluids2311-55212019-04-01426710.3390/fluids4020067fluids4020067On Natural Modulational Bandwidth of Deep-Water Surface WavesAlexander V. Babanin0Miguel Onorato1Luigi Cavaleri2Department of Infrastructure Engineering, University of Melbourne, Melbourne, Victoria 3010, AustraliaDipartimento di Fisica, Università di Torino and INFN, 10125 Torino, ItalyISMAR, Istituto di Scienze Marine, 30122 Venice, ItalyWe suggest that there exists a natural bandwidth of wave trains, including trains of wind-generated waves with a continuous spectrum, determined by their steepness. Based on laboratory experiments with monochromatic waves, we show that, if no side-band perturbations are imposed, the ratio between the wave steepness and bandwidth is restricted to certain limits. These limits are consistent with field observations of narrow-banded wind-wave spectra if a characteristic width of the spectral peak and average steepness are used. The role of the wind in such modulation is also discussed.https://www.mdpi.com/2311-5521/4/2/67modulational instabilitynonlinear waveswave groups
collection DOAJ
language English
format Article
sources DOAJ
author Alexander V. Babanin
Miguel Onorato
Luigi Cavaleri
spellingShingle Alexander V. Babanin
Miguel Onorato
Luigi Cavaleri
On Natural Modulational Bandwidth of Deep-Water Surface Waves
Fluids
modulational instability
nonlinear waves
wave groups
author_facet Alexander V. Babanin
Miguel Onorato
Luigi Cavaleri
author_sort Alexander V. Babanin
title On Natural Modulational Bandwidth of Deep-Water Surface Waves
title_short On Natural Modulational Bandwidth of Deep-Water Surface Waves
title_full On Natural Modulational Bandwidth of Deep-Water Surface Waves
title_fullStr On Natural Modulational Bandwidth of Deep-Water Surface Waves
title_full_unstemmed On Natural Modulational Bandwidth of Deep-Water Surface Waves
title_sort on natural modulational bandwidth of deep-water surface waves
publisher MDPI AG
series Fluids
issn 2311-5521
publishDate 2019-04-01
description We suggest that there exists a natural bandwidth of wave trains, including trains of wind-generated waves with a continuous spectrum, determined by their steepness. Based on laboratory experiments with monochromatic waves, we show that, if no side-band perturbations are imposed, the ratio between the wave steepness and bandwidth is restricted to certain limits. These limits are consistent with field observations of narrow-banded wind-wave spectra if a characteristic width of the spectral peak and average steepness are used. The role of the wind in such modulation is also discussed.
topic modulational instability
nonlinear waves
wave groups
url https://www.mdpi.com/2311-5521/4/2/67
work_keys_str_mv AT alexandervbabanin onnaturalmodulationalbandwidthofdeepwatersurfacewaves
AT miguelonorato onnaturalmodulationalbandwidthofdeepwatersurfacewaves
AT luigicavaleri onnaturalmodulationalbandwidthofdeepwatersurfacewaves
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