Analysis Of Correlation Dimension Of Chaotic Laser Signal Generated From Semiconductor Lasers With Optical Feedback

With the achievement of the chaos synchronization, the more and more attentions are paid to the cryptographic communication, in which the carrier is chaotic signal with good cryptic function, unpredictability, high complexity. Semiconductor lasers, as the best optical resource in the optical communication, which can generate large band-width and hyper-dimension chaotic signal (with some positive Lyapunov exponents) through feedback and injection, has been enthusiastically studied.Focusing on correlation dimension of chaotic attractor based on chaotic laser and chaos synchronization generated from semiconductor lasers with optical feedback, this thesis mainly includes that:1,Based on the rate equations of single-mode semiconductor lasers with optical feedback, a mathematical model is coined. At the same time, chaotic characteristics of mathematical model have been studied, such as the space trajectory, correlation dimension and the largest Lyapunov exponent.2,The correlation dimensions and the largest Lyapunov exponents of two groups of experimental time series have been analyzed in detail. The theoretical results coincided with the experimental results, indicates that semiconductor lasers can generate chaotic lasers with suitable optical feedback.3,In chaotic synchronization, the relationship between correlation dimension of chaotic attractor and sampling period has been investigated. The influence of correlation coefficient and injection intensity on correlation dimensions of chaotic attractors of master lasers and slave lasers are imitated. The numerical simulations indicate that injection intensity has a little impact on correlation dimension. For correlation dimension there is a strong dependence on the pump current. In suitable pump current, the quality of chaos synchronization show on correlation dimensions of strange attractors of master lasers and slave lasers. These results establish correlation dimension as an effective tool for the determination of the quality of chaos synchronization.