非简并光学参变振荡器的混沌控制  

Controlling Chaos in Nondegenerate Optical Parametric Oscillator

作　　者：田晓华[1] 郭奇志[1] 

机构地区：[1]上海大学物理系,上海200444

出　　处：《光学学报》2010年第6期1761-1766,共6页Acta Optica Sinica

基　　金：上海市重点学科建设项目(S30105)资助课题

摘　　要：提出了一种实现非简并光学参变振荡器混沌控制的方法,用正弦信号调制非简并光学参变振荡器的驱动场和基模衰减率,使非简并光学参变振荡器从混沌态输出转化为周期态输出。基于李雅普诺夫(Lyapunov)指数谱、相图和时间序列的数值模拟结果表明,选择适当的调制幅度和调制角频率,只要满足系统最大的Lyapunov指数不大于0,即可将系统中的混沌控制到期望的周期轨道。A method of controlling chaos in nondegenerate optical parametric oscillator（NOPO）is presented in this paper.The chaotic state of NOPO can be converted into periodic state by modulating the driving field and the reduced decay rate of the fundamental mode with a sinusoid wave.The numerical simulation results based on the Lyapunov exponent spectrum,phase portraits as well as time series show that there are different periodic states for the chaos of NOPO system corresponding to different modulating amplitude and modulating angular frequency only if the maximum Lyapunov exponent of the system is nonpositive.

关 键 词：非线性光学 非简并光学参变振荡器(NOPO) 混沌控制 李雅普诺夫指数 

分 类 号：O437[机械工程—光学工程]