Analysis of elliptically polarized states in vertical-cavity-surface-emitting lasers

Prati, Franco; Caccia, P.; Bache, Morten; Castelli, F.

doi:10.1103/physreva.69.033810

Cited by 17 publications

(4 citation statements)

References 19 publications

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“…To detect such folding, we use the following approach. After applying PCA, we reconstruct the 5-D states trajectories using only a subset of the calculated PCs using (7). We then compare the distance between the data point and its closest neighbor in the initial and reconstructed 5-dimension state trajectories space.…”

Section: Optimal Embedding Of Polarization Chaosmentioning

confidence: 99%

“…Their main drawback has been identified early on as polarization instabilities [1]: the most striking example being polarization switching (PS) events where the linearly polarized laser light suddenly rotates by 90 • [2]- [6]. But a wide range of behaviour have been reported including elliptical polarization [7], noise-induced hopping [8], [9] and even chaotic dynamics with the so-called polarization chaos [10], [11]. Although these instabilities have been first studied to be avoided [12], [13], it was also remarked Manuscript received XXX This work has been supported by the Research Foundation -Flanders (FWO) through project REFLEX (krediet aan Navorsers, 1530318N) and the post-doctoral fellowship of MV, and by the METHUSALEM program of the Flemish Governments.…”

Section: Introductionmentioning

confidence: 99%

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Chaos-Preserving Reduction of the Spin-Flip Model for VCSELs: Failure of the Adiabatic Elimination of the Spin-Population Difference

Virte¹,

Ferranti²

2019

IEEE J. Select. Topics Quantum Electron.

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When studying the dynamics of Vertical-Cavity Surface-Emitting Lasers, and their polarization properties, the spin-flip model appears to be the simplest model qualitatively reproducing all dynamical features that have been observed experimentally. Nonetheless, because of the fast time-scale of the spin-relaxation processes, the specific role and the importance of the spin-population difference -which is one of the specific feature of the spin-flip model -has been continuously questioned. In fact, the debate regarding the possible adiabatic elimination of the spin-population remains fully open.In this paper, our goal is to bring new light into this issue by demonstrating that this variable is essential to preserve the most complex dynamical features predicted by the spin-flip model, such as polarization chaos, and, therefore, needs to be conserved. To do so, we first perform a detailed analysis, focusing on the chaotic dynamics, to determine the minimal embedding dimension for the spin-flip model. As the latter confirms that a reduction of the model could be envisaged, we then consider the adiabatic elimination of the spin-population difference to highlight and explain its failure to reproduce essential dynamical features obtained in the original model.

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Section: Optimal Embedding Of Polarization Chaosmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Chaos-Preserving Reduction of the Spin-Flip Model for VCSELs: Failure of the Adiabatic Elimination of the Spin-Population Difference

Virte¹,

Ferranti²

2019

IEEE J. Select. Topics Quantum Electron.

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“…For γ a = 0, the expression becomes much more complicated [29], yet (6) remains an excellent approximation in practice. Thus, µ x would therefore be a lower bound of the region of chaotic dynamics in terms of injection current.…”

Section: Insight On Chaotic Vcsel Behaviormentioning

confidence: 99%

Chaos in Solitary VCSELs: Exploring the Parameter Space With Advanced Sampling

Virte¹,

Ferranti²

2018

J. Lightwave Technol.

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“…SFM has later been extended to include cavity anisotropies. [11][12][13] The SFM steady-states have been extensively studied by means of asymptotic methods or direct numerical integration [11][12][13][14][15][16][17] and it appears that SFM allows for linearly and elliptically polarized states. The stability analysis of these steady-states revealed that both type I and type II PSs are possible in the framework of SFM, the inclusion of additional parameters (e.g.…”

Section: Introductionmentioning

confidence: 99%

Dynamics accompanying polarization switching in vertical-cavity surface-emitting lasers

2012

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International audienceExperiments on quantum well and recently quantum dot VCSELs have shown that the increase of injection current may lead to a transition from a linearly polarized light emission at threshold to a region of nonlinear dynamics (self-pulsing) accompanying polarization switching between either two orthogonal linearly polarized states or non-orthogonal elliptically polarized states. The dynamics occurs on a nanosecond time-scale and relates either to the birefringence induced frequency splitting or to the relaxation oscillation frequency. In this contribution, we bring new light into the bifurcation mechanisms explaining the occurrence of deterministic self-pulsing accompanying polarization switching. We demonstrate theoretically that depending on the laser parameters, different polarization switching scenarios may be observed with self-pulsing dynamics at a dominant time-scale related to either linear cavity birefringence or relaxation oscillation, and with additional period doubling or quasiperiodicity. Our work therefore not only reconciles previous experiments with different conclusions on dynamical states, but also provides an improved understanding of the bifurcations underlying the commonly used spin flip model for VCSEL - hence motivating new in depth experiments of polarization dynamics at nanosecond time scale

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Analysis of elliptically polarized states in vertical-cavity-surface-emitting lasers

Cited by 17 publications

References 19 publications

Chaos-Preserving Reduction of the Spin-Flip Model for VCSELs: Failure of the Adiabatic Elimination of the Spin-Population Difference

Chaos-Preserving Reduction of the Spin-Flip Model for VCSELs: Failure of the Adiabatic Elimination of the Spin-Population Difference

Chaos in Solitary VCSELs: Exploring the Parameter Space With Advanced Sampling

Dynamics accompanying polarization switching in vertical-cavity surface-emitting lasers

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