Laboratoire de Physique des Lasers, Atomes et Molecules, Université de Lille, UMR-CNRS 8523, 59655 Villeneuve d'Ascq, France.
Centre d'Etudes et de Recherches Lasers et Applications (CERLA), 59655 Villeneuve d'Ascq, France.
Phys Rev E. 2018 Jan;97(1-1):012208. doi: 10.1103/PhysRevE.97.012208.
Rogue waves are extreme and rare fluctuations of the wave field that have been discussed in many physical systems. Their presence substantially influences the statistical properties of a partially coherent wave field, i.e., a wave field characterized by a finite band spectrum with random Fourier phases. Their understanding is fundamental for the design of ships and offshore platforms. In many meteorological conditions waves in the ocean are characterized by the so-called Joint North Sea Wave Project (JONSWAP) spectrum. Here we compare two unique experimental results: the first one has been performed in a 270 m wave tank and the other in optical fibers. In both cases, waves characterized by a JONSWAP spectrum and random Fourier phases have been launched at the input of the experimental device. The quantitative comparison, based on an appropriate scaling of the two experiments, shows a very good agreement between the statistics in hydrodynamics and optics. Spontaneous emergence of heavy tails in the probability density function of the wave amplitude is observed in both systems. The results demonstrate the universal features of rogue waves and provide a fundamental and explicit bridge between two important fields of research. Numerical simulations are also compared with experimental results.
反常孤波是一种在许多物理系统中都有讨论的极端且罕见的波场波动。它们的存在极大地影响了部分相干波场的统计特性，即具有有限带宽谱和随机傅里叶相位的波场。对它们的理解是设计船舶和海上平台的基础。在许多气象条件下，海洋中的波浪具有所谓的联合北海波项目（JONSWAP）谱。在这里，我们比较了两个独特的实验结果：第一个是在 270 米波槽中进行的，另一个是在光纤中进行的。在这两种情况下，具有 JONSWAP 谱和随机傅里叶相位的波在实验装置的输入端被发射。基于对两个实验的适当比例，对定量比较表明，水动力和光学中的统计数据非常吻合。在两个系统中都观察到波幅概率密度函数中重尾的自发出现。结果表明了反常孤波的普遍特征，并为两个重要研究领域提供了基本而明确的桥梁。数值模拟也与实验结果进行了比较。
