Determinism and stochasticity of power-dropout events in semiconductor lasers with optical feedback

Hohl, Angela; Lindén, Harto; Roy, Rajarshi

doi:10.1364/ol.20.002396

Cited by 82 publications

(50 citation statements)

References 9 publications

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“…Since the noise sources had essentially a Gaussian character, the first and second moments, given respectively by (15) and (16) (20) where and are dimensionless time and spatial coordinates, respectively, and is the speed of light in the medium, we can rewrite (13) as (21) We can further introduce a new variable having the dimension , according to (22) This new variable can be identified as the random noise term in the stochastic rate equation [23] for which the two-time correlation function is given by (23) Substituting from (22) into the equation and normalizing the -function, one obtains the expression (24) By comparing this relation with (16), one can deduce (25) For the realistic set of parameters: the resonant dipole density m , the dipole coupling coefficient Cm which has been calculated taking the exciton Bohr radius of GaAs as a separation between the charges in the dipole, and the dephasing time fs, and for the variance m , we calculate the value for the spontaneous emission rate. This value is in reasonable agreement with the typical values quoted in the literature (see, e.g., [1], [29]). Moreover, considering the advances in the semiconductor laser design to reduce noise, this value can be assumed as realistic.…”

Section: B Langevin Formulation and Fdtd Implementationsupporting

confidence: 93%

FDTD Simulation of the Nonlinear Gain Dynamics in Active Optical Waveguides and Semiconductor Microcavities

Slavcheva

Arnold

Ziolkowski

2004

IEEE J. Select. Topics Quantum Electron.

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Section: B Langevin Formulation and Fdtd Implementationsupporting

confidence: 93%

FDTD Simulation of the Nonlinear Gain Dynamics in Active Optical Waveguides and Semiconductor Microcavities

Slavcheva

Arnold

Ziolkowski

2004

IEEE J. Select. Topics Quantum Electron.

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“…The role of noise in determining the statistics and the nature of the dropout events has been previously examined in [3,4], but in the present paper we have clarified that the LFF dynamics can be interpreted at a first level of approximation as a biased Brownian motion towards a threshold with a reset mechanism. …”

Section: Discussionmentioning

confidence: 61%

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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“…3(a). Note that the dropout events occur more frequently and the intensity shows higher frequency structure in the simulations than that observed in the experiments, which we attribute to our neglect of spontaneous emission in the model [16]. For a modulation strength of 6% (Fig.…”

Section: Theoretical Analysis: Low-frequency Modulationmentioning

confidence: 56%

Entraining power-dropout events in an external-cavity semiconductor laser using weak modulation of the injection current

Sukow

Gauthier

2000

IEEE J. Quantum Electron.

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Abstract-We measure experimentally the effects of injection current modulation on the statistical distribution of time intervals between power-dropout events occuring in an external-cavity semiconductor laser operating in the low-frequency fluctuation regime. These statistical distributions are sensitive indicators of the presence of pump current modulation. Under most circumstances, we find that weak low-frequency (in the vicinity of 19 MHz) modulation of the current causes the dropouts to occur preferentially at intervals that are integral multiples of the modulation period. The dropout events can be entrained by the periodic perturbations when the modulation amplitude is large (peak-to-peak amplitude 8% of the dc injection current). We conjecture that modulation induces a dropout when the modulation frequency is equal to the difference in frequency between a mode of the extended cavity laser and its adjacent antimode. We also find that the statistical distribution of the dropout events is unaffected by the periodic perturbations when the modulation frequency is equal to the free spectral range of the external cavity. Numerical simulations of the extended-cavity laser display qualitatively similar behavior. The relationship of these phenomena to stochastic resonance is discussed and a possible use of the modulated laser dynamics for chaos communication is described.

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Determinism and stochasticity of power-dropout events in semiconductor lasers with optical feedback

Cited by 82 publications

References 9 publications

FDTD Simulation of the Nonlinear Gain Dynamics in Active Optical Waveguides and Semiconductor Microcavities

FDTD Simulation of the Nonlinear Gain Dynamics in Active Optical Waveguides and Semiconductor Microcavities

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

Entraining power-dropout events in an external-cavity semiconductor laser using weak modulation of the injection current

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