Li Qiliang, Bao Qi, Chen Dewang, Yang Shuna, Hu Miao, Zeng Ran, Chi Hao, Li Shuqin
Appl Opt. 2019 Feb 1;58(4):1025-1032. doi: 10.1364/AO.58.001025.
In this paper, two configurations of point-to-multipoint (PTM) and ring networks, based on the chaotic semiconductor laser subject to optical feedback, are investigated. A bifurcation diagram and the maximum Lyapunov exponent in the system have been used to distinguish the existence of chaos, and the complex degree of chaotic output is measured through Lempel-Ziv complexity. These results show that feedback strength has a significant effect on the dynamics of the system, namely, an increase in it can induce the system to enter into chaos. In the PTM model, it can be seen that the arbitrary receiver laser (RL) and central transmitter laser (TL) are identically synchronized, and moreover, the synchronization solutions are robust; the message can be encoded by modulating the bias current of the central TL, and at each RL end, the message from TL can be simultaneously recovered by monitoring the power error between RL and TL. As a result, the unidirectional broadcast message transmission, based on PTM, can be well achieved. In the ring network configuration, the coupling between two adjacent lasers through a partially transparent mirror induces the delay and chaotic dynamics. We prove that the dynamics is identically synchronized, and the synchronization against external perturbation also possesses good robustness; the messages introduced on the two arbitrary lasers in this ring network can be simultaneously exchanged.
本文研究了基于受光反馈影响的混沌半导体激光器的点对多点（PTM）和环形网络的两种配置。利用系统中的分岔图和最大Lyapunov指数来区分混沌的存在，并通过Lempel-Ziv复杂度来测量混沌输出的复杂程度。这些结果表明，反馈强度对系统动力学有显著影响，即反馈强度的增加会促使系统进入混沌状态。在PTM模型中，可以看到任意接收激光器（RL）与中央发射激光器（TL）完全同步，而且同步解具有鲁棒性；可以通过调制中央TL的偏置电流对消息进行编码，并且在每个RL端，通过监测RL与TL之间的功率误差可以同时恢复来自TL的消息。因此，可以很好地实现基于PTM的单向广播消息传输。在环形网络配置中，两个相邻激光器之间通过部分透明镜的耦合会引发延迟和混沌动力学。我们证明该动力学是完全同步的，并且针对外部扰动的同步也具有良好的鲁棒性；在这个环形网络中，任意两个激光器上引入的消息可以同时交换。
