论文标题
在光学非线性过程中估算重尾巴
Estimation of heavy tails in optical non-linear processes
论文作者
论文摘要
在光学非线性过程中，可以观察到流氓波，可以用重尾分布来数学描述。这些分布之所以特殊，是因为记录极高强度的概率明显高于指数分布，这在统计和量子光学元件中最常观察到。当前的手稿提供了有关重型分布的通用统计工具包的实用概述，并提出了处理特定于非线性光学问题的方法。我们仔细研究了超级脑，已经观察到了流氓波。我们建议对山丘估计器进行修改，以处理探测器饱和度以及通过通过明亮的挤压真空泵送该过程引入的校正。建议的方法促进了对非线性光学，纳米式，原子，固态过程和光学力学的重尾分布的统计可靠观察。
In optical non-linear processes rogue waves can be observed, which can be mathematically described by heavy-tailed distributions. These distributions are special due to the fact that the probability of registering extremely high intensities is significantly higher than for the exponential distribution, which is most commonly observed in statistical and quantum optics. The current manuscript gives a practical overview of the generic statistics toolkit concerning heavy-tailed distributions and proposes methods to deal with issues specific to non-linear optics. We take a closer look at supercontinuum generation, where rogue waves were already observed. We propose modifications to the Hill estimator to deal with detector saturation as well as corrections introduced by pumping the process by bright squeezed vacuum. The suggested methodology facilitates statistically reliable observation of heavy-tailed distribution in non-linear optics, nanooptics, atomic, solid-state processes and optomechanics.
