光注入和光电反馈联合作用下垂直腔表面发射激光器的动力学特性研究

摘要

Based on the spin-flip model（SFM）,we theoretically investigate the dynamics of a vertical-cavity surface-emitting laser（VCSEL） subject to optical injection and positive optoelectronic feedback.The results show that under the joint action of positive optoelectronic feedback and optical injection from a master VCSEL（M-VCSEL）,two polarization modes of a slave VCSEL（S-VCSEL） will show many dynamic states such as period one,period two,multi-period and chaos,and the evolution routes of these states are different for two polarization modes.Mapping of dynamic region as a function of feedback strength / and injection strength 77 is varied with frequency detuning between M-VCSEL and S-VCSEL△v（△v = v_m - v_s,where v_m and v_s are the free-running frequencies of M-VCSEL and S-VCSEL,respectively）.Compared with the case for zero or negative frequency detuning,the region of chaotic state is expanded significantly under positive△v.For a fixed△v,the influences of f andηon the chaotic bandwidth of S-VCSEL are discussed.Through selecting proper f andη,chaotic bandwidth of S-VCSEL can be improved obviously.%基于自旋反转模型,研究了垂直腔表面发射激光器（VCSEL）在光注入和光电反馈共同作用下的动力学特性.研究结果表明：一个受到主VCSEL光注入的副VCSEL,在同时存在光电正反馈时,其输出的两个线偏振模式（X和Y偏振模）可呈现周期、倍周期、多周期、混沌等丰富的动力学状态,且两偏振模动力学态的演化路径存在差异.各动力学状态在由反馈强度f与注入强度η所构成的参数空间的分布区域随着主、副VCSEL的频率失谐△v（△v=v_m-v_s,v_m,v_s分别为主、副VCSEL自由运行时的振荡频率）的变化而发生改变.当△v为正失谐时,呈现混沌的区域相比零失谐和负失谐时有明显的扩展,即副VCSEL能在更大的参数范围内实现混沌输出.对于特定的频率失谐,分析了光电正反馈强度f和光注入强度η对混沌输出带宽的影响.通过合理选择反馈强度以及注入强度,可使副VCSEL混沌输出带宽显著增加.