In this work, we study the multifractal properties of the return intervals between fading events defined as laser intensity drops induced by optical turbulence. A laboratory-controlled experiment was conducted in which the irradiance fluctuations were recorded at a high sampling rate. Return intervals were obtained by identifying fading events under a threshold defined in times of the standard deviation of the measured irradiance. Using multifractal detrended fluctuation analysis, we found a crossover between two different scaling regimes: a spurious multifractal slightly correlated at small scales and a monofractal correlated for large scales. Based on a surrogate analysis and numerical simulations of monofractal processes, we conclude the heavy tail of the probability distribution of the return interval is the origin of the multifractality observed at small scales.

中文翻译：

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由湍流引起的衰落返回区间的高频多重分形

在这项工作中，我们研究了定义为由光学湍流引起的激光强度下降的衰落事件之间的返回间隔的多重分形特性。进行了实验室控制实验，其中以高采样率记录辐照度波动。返回间隔是通过在以测量辐照度的标准偏差倍定义的阈值下识别衰落事件来获得的。使用多重分形去趋势波动分析，我们发现了两种不同尺度机制之间的交叉：在小尺度上轻微相关的虚假多重分形和与大尺度相关的单分形。基于单分形过程的替代分析和数值模拟，