Simulated dynamics of optically pumped dilute nitride 1300 nm spin vertical‐cavity surface‐emitting lasers

Alharthi, Sami S.; Al-Seyab, R.; Henning, I.D.; Adams, M.J.

doi:10.1049/iet-opt.2013.0044

Cited by 12 publications

(17 citation statements)

References 24 publications

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“…In our previous work, we have demonstrated self-sustained periodic oscillations that can be tuned from 8.6 to 11 GHz with pump polarization in an optically pumped 1300-nm dilute nitride spin VCSEL [26]. Simulations using the SFM have achieved good agreement with the experimental results [27]. Additionally, rich instabilities in spin VCSELs have also been theoretically analyzed with the full SFM equations [28], where the largest Lyapunov exponent (LLE) is used to determine regions of stability and instability.…”

Section: Introductionmentioning

confidence: 65%

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

Susanto

Cemlyn

et al. 2017

Phys. Rev. A

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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.

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Section: Introductionmentioning

confidence: 65%

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

Susanto

Cemlyn

et al. 2017

Phys. Rev. A

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“…Polarization gain is found in some cases when the output ellipticity exceeds that of the pump [1,12,13]. However, numerical simulations also indicate situations where switching can occur between opposite polarization states, i.e.…”

Section: Introductionmentioning

confidence: 99%

Spin-flip model of spin-polarized vertical-cavity surface-emitting lasers: Asymptotic analysis, numerics, and experiments

et al. 2015

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The spin-flip model describing optically pumped spin-polarized vertical-cavity surface-emitting lasers is considered. The steady-state solutions of the model for elliptically-polarised fields are studied. Asymptotic analysis for the existence and stability of the steady-state solutions is developed, particularly in the presence of pump polarisation ellipticity. The expansion is with respect to small parameters representing the ellipticity and the difference between the total pump power and the lasing threshold. The analytical results are then confirmed numerically, where it is obtained that generally one of the steady-state solutions is stable while the other is not. The theoretical results are shown to be in qualitative agreement with the experiments.

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“…This spin-VCSEL was unstable without a magnetic field because of its linear birefringence for the values of η < 4 and jPj > 0.2, as found from theory and experiment [16,17]. Figure 8(a) shows a numerical stability map for VCSEL2 in the plane P; η using the bifurcation method when Ω z 0.…”

Section: Unstable Spin-vcselsmentioning

confidence: 66%

“…Three spin-VCSELs with the parameters shown in Table 1 are used. The main difference between spin-VCSEL1 and the other two devices is that it exhibits stable behavior for all values of pump powers (η ≥ 1) and ellipticity (jPj ≥ 1) as found in theory and experiment (in the absence of a magnetic field) [15,17]. However, VCSEL2 and VCSEL3 have unstable behavior, even in the absence of a magnetic field because of their larger linear birefringence [14,16].…”

Section: B Effect Of An Axial Magnetic Field On the Dynamics Of Spinmentioning

confidence: 80%

“…Effect of an Axial Magnetic Field on the Dynamics of Conventional VCSELs (P 0) VCSEL1 (see Table 1 for the SFM parameters) has been chosen first to study the axial magnetic field effect. This device has been studied previously by experiment [15] and theory [15,17], and it was stable for a wide range of pump powers and all types of ellipticity (−1 ≤ P ≤ 1). Figure 1 shows numerical results represented by a calculated time series (upper row), optical spectrum (middle row), and Poincare sphere (lower row) using P 0, η 2 and three values of circular birefringence: Ω z 0, 0.5, and 3 rad · ns −1 .…”

Section: Resultsmentioning

confidence: 99%

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Dynamics and polarization of conventional and spin-VCSELs in the presence of an axial magnetic field

2015

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The spin flip model is used to investigate the effects of an axial magnetic field on the polarization and dynamics of conventional vertical cavity surface-emitting lasers (VCSELs) and spin-VCSELs where polarized optical pumping is used to inject a spin-polarized electron population. It is found that the ratio of the circular birefringence caused by the magnetic field to the intrinsic linear birefringence plays an important role in exciting oscillations in the intensities and polarization of the VCSELs studied. For a conventional VCSEL, higher values of the linear birefringence require larger axial magnetic fields to cause output power and polarization oscillations. In the case of spin-VCSELs, it is found that both magnitude and sign of the magnetic field can affect the stability and dynamics, as represented on maps in the plane of polarization ellipticity versus magnitude of the pump. A reversal in the sign of the field is equivalent to reversing the sign of the pump ellipticity. Potential applications of these effects in terms of optical oscillators and magnetic field sensors are identified.

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Simulated dynamics of optically pumped dilute nitride 1300 nm spin vertical‐cavity surface‐emitting lasers

Cited by 12 publications

References 24 publications

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

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

Spin-flip model of spin-polarized vertical-cavity surface-emitting lasers: Asymptotic analysis, numerics, and experiments

Dynamics and polarization of conventional and spin-VCSELs in the presence of an axial magnetic field

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