Stability and bifurcation analysis of spin-polarized vertical-cavity surface-emitting lasers

Abstract

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.

Tunable High-Power External-Cavity GaN Diode Laser Systems in the Visible Spectral Range

“…Here, regular PPO is observed in a BAL with grating external-cavity feedback. Different routes to chaos in different ECDL systems have been found [23,40], here, we observe the transition from regular PPO to chaos in the green GaN BAL with grating external-cavity feedback.…”

Polarization-resolved and polarization- multiplexed spike encoding properties in photonic neuron based on VCSEL-SA

“…In recent years, the nonlinear dynamics, polarization switching and polarization bistability properties of VCSELs have been intensively studied 3–14 . Interestingly, numerical and experimental investigations demonstrate that, by injecting external input optical pulse (EIOP), VCSELs can reproduce different behaviors exhibited by biological neurons including phasic spiking and tonic spiking, but on a much faster timescale 15–22 .…”

Dynamics of a green high-power tunable external-cavity broad-area GaN diode laser

“…21. Different routes to chaos in different diode laser systems have been found, such as period-doubling route to chaos in narrow-stripe single mode diode laser [25], period-doubling and quasiperiodic route to chaos in spinpolarized vertical-cavity surface-emitting laser [26]. Here, we observe the transition from regular PPO to chaos in a BAL with grating external feedback for the first time to our knowledge.…”