单向光折变环形振荡器的混沌控制

Chaos Control of Unidirectional Photore Fractive Ring Oscillators

在光折变晶体中传播的两束光强不同的光,由于在晶体中发生了光折变效应而相互耦合,最终的作用结果是使它们中的一束光的能量交换给另一束光,使其能量得到放大。本文在单向光折变环形振荡器的振荡方程基础上,通过数值分析计算,证明在系统情况达到一个临界状态时,系统将会出现分岔和混沌状态。利用变量反馈法和常数偏移法分别实现了单向光折变环形振荡器的混沌控制,通过改变反馈参数和偏移常数,可以将单向光折变环形振荡器的混沌状态控制到不同周期态。

Owing to holographic two-wave mixing in photorefractive crystals,one of the waves can be amplified due to mutual coupling caused by the photorefractive effect in crystals.Based on this fact,we give the oscillatory equations of unidirectional photorefractive ring oscillator and find it works stably in the small detuning domain by numerical calculation.When detuning reached a critical condition,on the other hand,bifurcation and chaos phenomena appear.The chaos control of a unidirectional photorefractive ring oscillator is realized by using constant offset and variable feedback method.The chaos state of a unidirectional photorefractive ring oscillator could be suppressed to the fixed point of the various periodic states by changing the feedback parameters and deviation constant.