三台多模激光强度的混沌同步

Chaotic synchronization of intensities in three multimode lasers

对空间耦合的三台多模激光阵列的动力学行为进行了理论分析.当系统的泵浦受到调制时,在一定的参数范围内,第一台激光和第三台激光输出的总强度之间会出现很好的混沌同步,两台激光的对应模式之间也出现相应的混沌同步,但不同模式之间则是完全的混沌状态,而第一台、第三台激光与第二台激光的输出强度之间则没有混沌同步现象出现 每台激光的各个模式强度之间存在模式竞争现象,通过李雅普诺夫指数也可以看出系统处于混沌状态.

The dynamical properties of three spatially coupled multimode lasers are investigated theoretically. When the pump of the system is modulated, the total intensities of the first and the third lasers show perfect chaotic synchronization within certain parameter range. The intensities of the corresponding modes also show chaotic synchronization. While for different modes, the intensities are totally chaotic. There is no chaotic synchronization of intensities between the first(third) and the middle lasers.The intensities of the modes in the lasers show mode competition. From the Lyapunov exponent, it is shown that the laser system is chaotic.