非线性反馈法控制相位共轭波的光学时空混沌

Controlling optical spatiotemporal chaos of coupled phase-conjugate map system with nonlinear feedback

相位共轭振荡器由一个标准镜和一个具有快速响应的无损耗Kerr介质作为相位共轭介质的相位共轭镜组成.利用非线性反馈方法,对相位共轭振荡器中的时间混沌和耦合相位共轭波映象系统中的时空混沌进行了控制,得到了稳定的控制结果.数值实验表明,该控制方法不需预先了解动力学系统,只需调整反馈系数,在实际系统中容易实现.控制结果为相位共轭波的混沌研究提供了理论依据.

The optical phase-conjugate resonator consists of one normal mirror and one phase-conjugate mirror made of an instantaneous response lossless Kerr medium. Using the nonlinear feedback, we control the temporal chaos in the phase-conjugate resonator and spatiotemporal chaos in the coupled phase-conjugate map system. Stable control has been realized. The simulation shows that this controlling technique can be implemented easily in practical systems just by adjusting the feedback strength. The in-advance knowledge of the dynamic system is not required. The results are useful to theoretical analysis of chaos in phase-conjugate resonators.