"Extraordinary" modulation instability in optics and hydrodynamics

The classical theory of modulation instability (MI) attributed to Bespalov-Talanov in optics and Benjamin-Feir for water waves is just a linear approximation of nonlinear effects and has limitations that have been corrected using the exact weakly nonlinear theory of wave propagation. We report resul...

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Bibliographic Details
Published in:Proceedings of the National Academy of Sciences - PNAS 2021-04, Vol.118 (14)
Main Authors: Vanderhaegen, Guillaume, Naveau, Corentin, Szriftgiser, Pascal, Kudlinski, Alexandre, Conforti, Matteo, Mussot, Arnaud, Onorato, Miguel, Trillo, Stefano, Chabchoub, Amin, Akhmediev, Nail
Format: Article
Language:English
Subjects:
Nonlinear Sciences
Pattern Formation and Solitons
Physical Sciences
Physics
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Summary:The classical theory of modulation instability (MI) attributed to Bespalov-Talanov in optics and Benjamin-Feir for water waves is just a linear approximation of nonlinear effects and has limitations that have been corrected using the exact weakly nonlinear theory of wave propagation. We report results of experiments in both optics and hydrodynamics, which are in excellent agreement with nonlinear theory. These observations clearly demonstrate that MI has a wider band of unstable frequencies than predicted by the linear stability analysis. The range of areas where the nonlinear theory of MI can be applied is actually much larger than considered here.
ISSN:0027-8424
1091-6490
DOI:10.1073/pnas.2019348118