两维网格空间耦合激光阵列的时空混沌同步

摘要/Abstract

摘要：

通过数值模拟对两维3×3单模激光网格阵列的动力学行为进行了研究。阵列中的激光束在光场中通过空间的局部耦合产生相互作用，可以通过对激光参数设置进行调节。数值研究表明，在一个相对较小区域的参数范围内，当任两台激光之间的空间耦合作用距离一定时，相应的激光束的强度之间可以实现混沌同步,并且具有特点: 处于次对角线或与其平行的对角线的对应位置上激光都可以实现混沌同步状态。通过对该激光阵列的功率谱和李雅普诺夫指数的计算和分析，可以确信所研究的强度同步的激光系统处于混沌状态。

关键词: 非线性光学, 混沌同步, 激光阵列, 耦合, 功率谱, 李雅普诺夫指数

Abstract:

The dynamical properties of two-dimensional 3×3 lattice arrays of single-mode lasers are investigated by numerical simulations. The lasers of the array are locally coupled and interacted through their optical fields and accommodated by setting up some certain parameters of lasers. The results of study show that the intensities between some corresponding lasers can reach the state of chaotic synchronization under the rigor suitable parameters, when the distance of the coupled between arbitrary two adjacent lasers is in the proper area, and they also have the characteristics of the chaotic synchronization between the lasers in the situation of minor diagonal or the parallel diagonal with minor diagonal. Through the computations and the analysis of the power spectra and Lyapunov exponents, it can be convinced that the states of the laser system are chaotic.

Key words: nonlinear optics, chaotic synchronization, arrays of lasers, coupled, power spectra, Lyapunov exponent

孙坚潘涛徐国定. 两维网格空间耦合激光阵列的时空混沌同步[J]. J4, 2009, 26(6): 708-714.

SUN Jian, PAN Tao, XU Guo-Ding. Spatiotemporal chaos synchronization in two-dimensional lattice arrays of locally coupled lasers[J]. J4, 2009, 26(6): 708-714.

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