频率选择反馈垂直腔面发射激光器中腔孤子的漂移不稳定性
Drifting instabilities of cavity solitons in vertical cavity surface-emitting lasers with frequency selective feedback
摘要：
本文研究了垂直腔面发射激光器（VCSEL）在外部频率选择反馈（FSF）作用下自推进腔孤子（CS）的形成和动力学特性，并在消除载流子动力学特性的情况下建立了CS的分岔图。对于低泵浦电流，我们发现，他们出现在平凡的解决方案，在那里形成的行波与临界波数的调制不稳定点。对于大电流，自推进孤子的分支通过干草叉分叉与静止孤子的分支合并。我们还表明，2π的反馈相位变化可以将CS（无论是静止还是运动）转换为与相邻纵向外腔模式相关的不同CS。最后，我们调查的载流子动力学的影响，相关的垂直腔面发射激光器。我们发现并分析了静态CS的稳定性性质的定性变化时，增加载流子弛豫时间。除了静止CS的漂移不稳定性，一种新的不稳定性出现在一定范围内的载流子寿命，导致CS中心位置的摆动运动。此外，对于VCSEL的典型载流子弛豫时间，系统可以显示CS的多稳态。
英文摘要：
In this paper we study the formation and dynamics of self-propelled cavity solitons (CSs) in a model for vertical cavity surface-emitting lasers (VCSELs) subjected to external frequency selective feedback (FSF), and build their bifurcation diagram for the case where carrier dynamics is eliminated. For low pump currents, we find that they emerge from the modulational instability point of the trivial solution, where traveling waves with a critical wavenumber are formed. For large currents, the branch of self-propelled solitons merges with the branch of resting solitons via a pitchfork bifurcation. We also show that a feedback phase variation of 2πcan transform a CS (whether resting or moving) into a different one associated to an adjacent longitudinal external cavity mode. Finally, we investigate the influence of the carrier dynamics, relevant for VCSELs. We find and analyze qualitative changes in the stability properties of resting CSs when increasing the carrier relaxation time. In addition to a drifting instability of resting CSs, a new kind of instability appears for certain ranges of carrier lifetime, leading to a swinging motion of the CS center position. Furthermore, for carrier relaxation times typical of VCSELs the system can display multistability of CSs.
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