Limits on the excitable behavior of a semiconductor laser with optical feedback

Méndez, Jorge; Aliaga, J.; Mindlin, Gabriel B.

doi:10.1103/physreve.71.026231

Cited by 12 publications

(13 citation statements)

References 28 publications

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“…4 for the present system for α = 3.2 and 5 and µ = 0.93, in both cases two stable attracting modes have been identified. Recently, a similar coexistence of two stable solutions located in proximity of the MGM has been reported experimentally for an edge-emitter laser with a low level of optical feedback [40] As reported in [37] the stability properties of the MGM do not depend on α, therefore it is reasonable to expect that some SM will be always present in a narrow window around θ for any chosen linewidth enhancement factor [39] and that they will coexist with the chaotic dynamics, as observed experimentally in [41]. The ECMs with θ < θ1 are modes, while the others are antimodes.…”

Section: Stationary Solutionssupporting

confidence: 63%

Low-frequency fluctuations in vertical cavity lasers: Experiments versus Lang-Kobayashi dynamics

et al. 2006

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The limits of applicability of the Lang-Kobayashi (LK) model for a semiconductor laser with optical feedback are analyzed. The model equations, equipped with realistic values of the parameters, are investigated below solitary laser threshold where Low Frequency Fluctuations (LFF) are usually observed. The numerical findings are compared with experimental data obtained for the selected polarization mode from a Vertical Cavity Surface Laser (VCSEL) subject to polarization selective external feedback. The comparison reveals the bounds within which the dynamics of the LK can be considered as realistic. In particular, it clearly demonstrates that the deterministic LK, for realistic values of the linewidth enhancement factor α, reproduces the LFF only as a transient dynamics towards one of the stationary modes with maximal gain. A reasonable reproduction of real data from VCSEL can be obtained only by considering noisy LK or alternatively deterministic LK for extremely high α-values.

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Section: Stationary Solutionssupporting

confidence: 63%

Low-frequency fluctuations in vertical cavity lasers: Experiments versus Lang-Kobayashi dynamics

et al. 2006

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“…1(a)]. The motivation for this classification is that some dropouts can be noise-induced while others can be due to a deterministic underlying dynamics303132. Thus, some IDIs correspond to waiting intervals in a resting state until noise triggers a dropout, while others correspond to time intervals between dropouts that are more likely to have a deterministic origin.…”

mentioning

confidence: 99%

Distinguishing signatures of determinism and stochasticity in spiking complex systems

Aragoneses

Rubido

Tiana-Alsina

et al. 2013

Sci Rep

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We describe a method to infer signatures of determinism and stochasticity in the sequence of apparently random intensity dropouts emitted by a semiconductor laser with optical feedback. The method uses ordinal time-series analysis to classify experimental data of inter-dropout-intervals (IDIs) in two categories that display statistically significant different features. Despite the apparent randomness of the dropout events, one IDI category is consistent with waiting times in a resting state until noise triggers a dropout, and the other is consistent with dropouts occurring during the return to the resting state, which have a clear deterministic component. The method we describe can be a powerful tool for inferring signatures of determinism in the dynamics of complex systems in noisy environments, at an event-level description of their dynamics.

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“…Moreover, in [28] the periodic "spike" patterns generated experimentally under external periodic forcing were compared with the solutions of the EGM model, and it was shown that the topological organization of the experimentally observed periodic orbits was equivalent, in the parameter region explored, to the one displayed by the model solutions. The limits of the excitable LFF behavior, and thus the region of validity of the EMG model, were studied in [29], where it was shown that excitability deteriorates in the parameter region where there is a high probability of stable emission; in this region of "coexistence" the laser dynamics can be separated into stable and bursting states.…”

Section: Introductionmentioning

confidence: 99%

Transient low-frequency fluctuations in semiconductor lasers with optical feedback

2010

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Time-delayed systems often exhibit multistability of coexisting attractors, which can result in long chaotic transients on the way to one of the coexisting states. Strong enough noise can transform this transient chaos into noise-sustained dynamics. Here we study the interplay between delay-induced multistability, chaotic transients, and noise, in the case of a semiconductor laser with optical feedback from an external reflector. The time-delayed feedback renders the laser multistable, with a set of coexisting fixed points, and induces dynamical events called low-frequency fluctuations (LFFs), consisting of sudden intensity dropouts at irregular times. The deterministic Lang-Kobayashi model shows that, for a large range of realistic laser parameters, the LFFs are just a transient dynamics toward a stable fixed point. Here we analyze the statistical properties of the transient LFF dynamics and investigate the influence of various parameters. We find that realistic values of the noise strength do not affect the average transient time or its distribution, provided the model includes an explicit delay. On the other hand, nonlinear gain saturation has a strong effect: it increases both the duration of the LFF transients and the probability of noise-induced escapes from the stable fixed point. Our results suggest that the LFFs observed experimentally can be, at least in part, sustained by the interplay of noise and various nonlinear effects, which are phenomenologically represented by a gain saturation coefficient.

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Limits on the excitable behavior of a semiconductor laser with optical feedback

Cited by 12 publications

References 28 publications

Low-frequency fluctuations in vertical cavity lasers: Experiments versus Lang-Kobayashi dynamics

Low-frequency fluctuations in vertical cavity lasers: Experiments versus Lang-Kobayashi dynamics

Distinguishing signatures of determinism and stochasticity in spiking complex systems

Transient low-frequency fluctuations in semiconductor lasers with optical feedback

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