"Extraordinary" modulation instability in optics and hydrodynamics

Guillaume Vanderhaegen; Corentin Naveau; Pascal Szriftgiser; Alexandre Kudlinski; Matteo Conforti; Arnaud Mussot; Miguel Onorato; Stefano Trillo; Amin Chabchoub; Nail Akhmediev

doi:10.1073/pnas.2019348118

"Extraordinary" modulation instability in optics and hydrodynamics

Guillaume Vanderhaegen^*, Corentin Naveau, Pascal Szriftgiser, Alexandre Kudlinski, Matteo Conforti, Arnaud Mussot, Miguel Onorato, Stefano Trillo, Amin Chabchoub, Nail Akhmediev

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

49 Citations (Scopus)

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 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.

Original language	English
Article number	e2019348118
Journal	Proceedings of the National Academy of Sciences of the United States of America
Volume	118
Issue number	14
DOIs	https://doi.org/10.1073/pnas.2019348118
Publication status	Published - 6 Apr 2021

Access to Document

10.1073/pnas.2019348118

Cite this

Vanderhaegen, G., Naveau, C., Szriftgiser, P., Kudlinski, A., Conforti, M., Mussot, A., Onorato, M., Trillo, S., Chabchoub, A., & Akhmediev, N. (2021). "Extraordinary" modulation instability in optics and hydrodynamics. Proceedings of the National Academy of Sciences of the United States of America, 118(14), Article e2019348118. https://doi.org/10.1073/pnas.2019348118

@article{bde60cf177984a0d8f3ec029fb846545,

title = "{"}Extraordinary{"} modulation instability in optics and hydrodynamics",

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 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.",

keywords = "Breathers, Modulation instability, Nonlinear waves",

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",

year = "2021",

month = apr,

day = "6",

doi = "10.1073/pnas.2019348118",

language = "English",

volume = "118",

journal = "Proceedings of the National Academy of Sciences of the United States of America",

issn = "0027-8424",

publisher = "National Academy of Sciences",

number = "14",

}

TY - JOUR

T1 - "Extraordinary" modulation instability in optics and hydrodynamics

AU - Vanderhaegen, Guillaume

AU - Naveau, Corentin

AU - Szriftgiser, Pascal

AU - Kudlinski, Alexandre

AU - Conforti, Matteo

AU - Mussot, Arnaud

AU - Onorato, Miguel

AU - Trillo, Stefano

AU - Chabchoub, Amin

AU - Akhmediev, Nail

PY - 2021/4/6

Y1 - 2021/4/6

N2 - 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.

AB - 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.

KW - Breathers

KW - Modulation instability

KW - Nonlinear waves

UR - http://www.scopus.com/inward/record.url?scp=85103745224&partnerID=8YFLogxK

U2 - 10.1073/pnas.2019348118

DO - 10.1073/pnas.2019348118

M3 - Article

SN - 0027-8424

VL - 118

JO - Proceedings of the National Academy of Sciences of the United States of America

JF - Proceedings of the National Academy of Sciences of the United States of America

IS - 14

M1 - e2019348118

ER -

"Extraordinary" modulation instability in optics and hydrodynamics

Abstract

Access to Document

Other files and links

Fingerprint

Cite this