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针对垂直腔面发射激光器(VCSEL)与相位共轭镜(PCM)这一弱耦合系统,同时考虑到相位共轭镜奇次反馈产生共轭光,偶次反馈产生常规光这一不同于普通平面镜的奇偶效应,构建非即变相位共轭镜奇偶分开的多次反馈理论模型,对多次相位共轭反馈(PCF)下垂直腔面发射激光器非线性动力学行为进行了数值模拟。结果表明,由于引入了奇偶两种不同反馈类型,高次相位共轭镜反馈可明显改变垂直腔面发射激光器的输出动态,即使在弱反馈条件下也如此,而其对稳态特性的影响却恰恰相反。与只考虑一次反馈相比,考虑多次反馈后,弱反馈引起的系统不稳定明显被抑制,混沌区域变小并代之以稳定的倍周期态;而强反馈时,一次反馈对应的从混沌到三分岔的非线性演变方式,在二、三次反馈时分别变成了从倍周期到混沌和从准周期到混沌的演变过程。
For the weakly coupled system of vertical cavity surface emitting laser (VCSEL) and phase conjugate mirror (PCM), and taking into account the phase conjugate mirror odd feedback to produce conjugate light, the even feedback produces conventional light, which is different from ordinary plane mirror The nonlinearity of vertical cavity surface-emitting lasers with multiple phase conjugate feedback (PCF) was numerically simulated by using the odd-even multiple feedback theory model of non-variable phase conjugate mirror. The results show that due to the introduction of two different feedback types, the high order phase conjugate mirror feedback can significantly change the vertical cavity surface emitting laser output dynamics, even in the case of weak feedback, but its impact on the steady-state characteristics Quite the opposite. Compared with considering only one feedback, after considering multiple feedbacks, the system instability caused by weak feedback is obviously suppressed, and the chaotic region becomes smaller and replaced by a stable doubling period. In the case of strong feedback, the feedback from chaos The nonlinear evolution to the third bifurcation becomes the evolution from the doubling period to the chaos and the quasi-period to the chaos respectively in two or three times of feedback.