Randoux Stéphane, Walczak Pierre, Onorato Miguel, Suret Pierre
Laboratoire de Physique des Lasers, Atomes et Molecules, Université de Lille, UMR-CNRS 8523, France.
Dipartimento di Fisica, Università degli Studi di Torino, 10125 Torino, Italy and Istituto Nazionale di Fisica Nucleare, INFN, Sezione di Torino, 10125 Torino, Italy.
Phys Rev Lett. 2014 Sep 12;113(11):113902. doi: 10.1103/PhysRevLett.113.113902. Epub 2014 Sep 10.
We examine the statistical properties of nonlinear random waves that are ruled by the one-dimensional defocusing and integrable nonlinear Schrödinger equation. Using fast detection techniques in an optical fiber experiment, we observe that the probability density function of light fluctuations is characterized by tails that are lower than those predicted by a Gaussian distribution. Moreover, by applying a bandpass frequency optical filter, we reveal the phenomenon of intermittency; i.e., small scales are characterized by large heavy-tailed deviations from Gaussian statistics, while the large ones are almost Gaussian. These phenomena are very well described by numerical simulations of the one-dimensional nonlinear Schrödinger equation.
我们研究了由一维散焦且可积的非线性薛定谔方程所支配的非线性随机波的统计特性。在光纤实验中使用快速检测技术，我们观察到光波动的概率密度函数的特征是其尾部低于高斯分布所预测的尾部。此外，通过应用带通频率光学滤波器，我们揭示了间歇性现象；即，小尺度的特征是与高斯统计有很大的重尾偏差，而大尺度的几乎是高斯分布。一维非线性薛定谔方程的数值模拟很好地描述了这些现象。
