延迟光反馈混沌半导体激光器的熵率评估

Entropy rate evaluation of delayed optical feedback chaotic semiconductor lasers

延迟光反馈半导体激光器是近年来应用最广泛的混沌光源。然而,其不可预测性评估仍然是一个亟待解决的问题。从信息论的角度来看,根据线性化微分方程计算的Kolmogorov-Sinai(KS)熵可以准确地评估混沌激光信号的不可预测性。但是,评估实验数据的KS熵是非常困难,甚至是不可能的。本文证明了,在优化嵌入维度d、归一化垂直分辨率ε_(N)和采样时间τ后,Cohen-Procaccia(CP)熵可以作为一种实用的替代方法用于量化延迟光反馈半导体激光器实验产生混沌信号的不可预测性。

Delayed optical feedback semiconductor lasers are the most widely used chaotic light sources in recent years.However,its unpredictability evaluation is still an urgent issue to be addressed.From the information-theoretic point of view,the Kolmogorov-Sinai(KS)entropy calculated from the linearized differential equation can accurately evaluate the unpredictability of chaotic laser signals.However,evaluating the KS entropy of experimental data is very difficult,if not impossible.In this paper,we demonstrate that the Cohen-Procaccia(CP)entropy can be used as a practical alternative method for quantifying the unpredictability of chaotic signals generated from delayed optical feedback semiconductor lasers experiments after optimizing the embedding dimension d,the normalized vertical resolutionε_(N),and the sampling timeτ.