"Extraordinary" modulation instability in optics and hydrodynamics
Pattern Formation and Solitons
2021-04-28 v1
Abstract
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 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.
Cite
@article{arxiv.2009.03023,
title = {"Extraordinary" modulation instability in optics and hydrodynamics},
author = {Guillaume Vanderhaegen and Corentin Naveau and Pascal Szriftgiser and Alexandre Kudlinski and Matteo Conforti and Arnaud Mussot and Miguel Onorato and Stefano Trillo and Amin Chabchoub and Nail Akhmediev},
journal= {arXiv preprint arXiv:2009.03023},
year = {2021}
}
Comments
9 pages, 10 figures