We report on generalized extreme value distribution of the maximum output intensities in a random feedback laser (RFL) emission, with localized gain provided by a semiconductor optical amplifier (SOA). Feedback due to Rayleigh backscattering from a single-mode fiber sustains the laser oscillation in a half-open cavity configuration. The experimental distribution of maximum output intensities near threshold is described by Fréchet distribution, and the distribution of intensities is associated with a heavy-tail power-law distribution. Increasing the pump above the threshold, the distribution of maxima tends to a Gumbel distribution. We also present experimental evidence of Lévy-like behavior in the SOA-RFL output intensities operating near the laser threshold, which is in agreement with extreme value statistics predictions.

中文翻译：

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基于SOA的随机反馈激光发射中的最大强度和类Lévy行为的广义极值分布

我们报告了随机反馈激光（RFL）发射中最大输出强度的广义极值分布，其中局部增益由半导体光放大器（SOA）提供。来自单模光纤的瑞利反向散射引起的反馈在半开腔结构中维持了激光振荡。Fréchet分布描述了接近阈值的最大输出强度的实验分布，并且强度的分布与重尾幂律分布相关。将泵增加到阈值以上，最大值的分布趋向于Gumbel分布。我们还提供了在激光阈值附近工作的SOA-RFL输出强度中类似列维行为的实验证据，这与极值统计预测相符。