弱光反馈下正交时变光注入VCSEL的双稳特性研究

基于垂直腔面发射激光器(VCSEL)的自旋反转模型(SFM)，研究了弱光反馈下正交时变光注入VCSEL的双稳特性。研究结果表明，当副激光器(S-VCSEL)受到主激光器(M-VCSEL)正交时变光注入时，弱光反馈的引入不改变正交时变光注入VCSEL的双稳宽度随光注入扫描速率增大而增大的性质；对于确定的光注入扫描速率，随着反馈强度的增大，双稳宽度将变窄；当M-VCSEL与S-VCSEL之间存在频率失谐Δν(等于νm-νs,νm、νs分别为主、副激光器自由运行时的频率)时，随着Δν从负值逐渐增加到正值，双稳宽度总体呈现先减小后增大的趋势，无反馈时在负频区域双稳环宽度呈现的较大波动在引入光反馈后可得到一定程度的抑制。

Investigation on the Bistability Performances of Vertical-Cavity Surface-Emitting Lasers with Time-Varying Orthogonal Optical Injection Subject to Weak Optical Feedback

Based on the framework of the spin-flip model (SFM), the bistability performances of time-varying orthogonal optical injected vertical-cavity surface-emitting lasers (VCSEL) subject to weak optical feedback have been investigated theoretically. The results show that, for a slave VCSEL (S-VCSEL) subject to time-varying orthogonal optical injection from a master VCSEL (M-VCSEL), the introduction of weak optical feedback does not change the varied trend that hysteresis width increases with the increase of the sweeping rate of optical injection coefficient. For a fixed sweeping rate of the injection coefficient, with the increase of the feedback strength, the hysteresis width will narrow. Under the case that there exists frequency detuning Δν(=νm-νs, νm and νs are the free running frequencies of M-VCSEL and S-VCSEL, respectively) between the M-VCSEL and S-VCSEL, with the increase of Δν from negative value to positive value, the hysteresis width narrows firstly, and after reaching a minimum, widens finally. The obvious fluctuation of hysteresis width appearing in the negative frequency detuning region can be suppressed to some extent after introducing optical feedback.