Vanderhaegen Guillaume, Naveau Corentin, Szriftgiser Pascal, Kudlinski Alexandre, Conforti Matteo, Mussot Arnaud, Onorato Miguel, Trillo Stefano, Chabchoub Amin, Akhmediev Nail
University of Lille, CNRS, UMR 8523-PhLAM-Physique des Lasers Atomes et Molécules, F-59000 Lille, France;
University of Lille, CNRS, UMR 8523-PhLAM-Physique des Lasers Atomes et Molécules, F-59000 Lille, France.
Proc Natl Acad Sci U S A. 2021 Apr 6;118(14). doi: 10.1073/pnas.2019348118.
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.
光学中归因于别斯帕洛夫 - 塔拉诺夫以及水波中归因于本杰明 - 费尔的调制不稳定性(MI)经典理论,仅仅是非线性效应的线性近似,并且存在局限性,这些局限性已通过精确的弱非线性波传播理论得到修正。我们报告了光学和流体动力学方面的实验结果,这些结果与非线性理论高度吻合。这些观测结果清楚地表明,MI具有比线性稳定性分析所预测的更宽的不稳定频率带。MI非线性理论可应用的区域范围实际上比这里所考虑的要大得多。