Stability and bifurcation analysis of spin-polarized vertical-cavity surface-emitting lasers
Stability and bifurcation analysis of spin-polarized vertical-cavity surface-emitting lasers
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DOI：
10.1103/physreva.96.013840
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发表时间：
2017-07-20
影响因子：
2.9
通讯作者：
Adams, M. J.
中科院分区：
文献类型：
--
作者：
Li, Nianqiang;Susanto, H.;Adams, M. J.
提出了自旋偏振垂直腔表面发射激光器 (VCSEL) 的详细稳定性和分岔分析。我们考虑稳态和动态两种情况。在稳态操作的情况下，我们对一组代表性自旋 VCSEL 参数的稳态解进行小信号（渐近）稳定性分析。与完整的数值模拟相比，我们表明这在泵浦椭圆率的整个范围内产生了令人惊讶的准确结果，并且自旋 VCSEL 偏差高达阈值的 1.5 倍。然后，我们将扩展自旋翻转模型的直接数值积分与标准连续技术相结合，以检查潜在的动力学。我们发现，随着泵浦幅度或偏振椭圆率的变化，自旋 VCSEL 会经历倍周期或准周期的混沌途径。此外，我们发现不同的动力学状态可以在泵浦强度的有限区间中共存，并观察到其宽度可通过泵浦极化调节的磁滞回线。最后，我们报告了泵浦极化平面中的稳定性图与泵浦幅度的比较，该图是通过对时域模拟中自旋 VCSEL 的动态输出进行分类而产生的，与标准连续包 AUTO 获得的超临界分岔曲线进行了比较。这有助于我们更好地了解自旋 VCSEL 的基本动态。
A detailed stability and bifurcation analysis of spin-polarized vertical-cavity surface-emitting lasers (VCSELs) is presented. We consider both steady-state and dynamical regimes. In the case of steady-state operation, we carry out a small-signal (asymptotic) stability analysis of the steady-state solutions for a representative set of spin-VCSEL parameters. Compared with full numerical simulation, we show this produces surprisingly accurate results over the whole range of pump ellipticity, and spin-VCSEL bias up to 1.5 times the threshold. We then combine direct numerical integration of the extended spin-flip model and standard continuation technique to examine the underlying dynamics. We find that the spin VCSEL undergoes a period-doubling or quasiperiodic route to chaos as either the pump magnitude or polarization ellipticity is varied. Moreover, we find that different dynamical states can coexist in a finite interval of pump intensity, and observe a hysteresis loop whose width is tunable via the pump polarization. Finally we report a comparison of stability maps in the plane of the pump polarization against pump magnitude produced by categorizing the dynamic output of a spin VCSEL from time-domain simulations, against supercritical bifurcation curves obtained by the standard continuation package AUTO. This helps us better understand the underlying dynamics of the spin VCSELs.