简并光学参量振荡器混沌反控制

提出一种实现简并光学参量振荡器混沌反控制的方法，用正弦信号调制简并光学参量振荡器的基模衰减率，使简并光学参量振荡器从定态输出转化为混沌态.数值模拟结果表明，选择不同的调制幅度和调制角频率，只要满足系统的最大李雅谱诺夫指数大于零，即可实现不同的混沌轨道重构.通过比较最大李雅谱诺夫指数λ_max随调制幅度和调制角频率变化曲线， 指出系统从周期态调制到混沌态比从无亚谐波输出的定态调制到混沌态更容易，有更宽的调制幅度和调制角频率选择范围. 关键词： 简并光学参量振荡器 混沌反控制 调制

Anti-control of chaos on the degenerate optical parametric oscillator

We present a method of anti-control of chaos on the degenerate optical parametric oscillator via modulating the reduced decay rate of the fundamental mode with a sinusoid wave to convert the steady state without output of subharmonical mode or periodic state into chaotic state. Numerical simulation shows that there are different chaotic orbits corresponding to different modulation amplitude and modulating angular frequency only if the maximum Lyapunov exponent of the system is positive. The maximum Lyapunov exponent as a function of modulation amplitude and modulating angular frequency is calculated respectively. We point out here that converting the steady state without output of subharmonical mode into chaotic state is more difficult than converting the periodic state into chaotic state because narrower range of modulation amplitude and modulating angular frequency can be used in the former case.