Evidence of stochastic resonance in a laser with saturable absorber: Experiment and theory

Fioretti, A.; Guidoni, L.; Mannella, R.; Arimondo, E.

doi:10.1007/bf01053976

Cited by 38 publications

(9 citation statements)

References 12 publications

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“…In addition to ring lasers, optically trapped Brownian particles, and SQUIDs referred to above, SR has been observed in various analog electronic circuits (see Refs. [16,6,7], [23]- [25]), in a passive optically bistable system [26] and in a bistable laser with saturable absorber [27], in a magnetoelastic ribbon [28], in a hybrid device that included an ESR cavity [29], in single-domain uniaxially anisotropic magnetic particles [30], and in a magnetoresistive oscillator [31]. It has also been proposed [32,33] that SR may be relevant to the transmission of information by sensory neurons.…”

Section: B Sr In a Ring Lasermentioning

confidence: 99%

“…For a dynamically weak force the intrawell response is still described by linear response theory, and the ensemble-average value of the coordinate (27) where q n are the equilibrium positions in the states n = 1, 2 and χ n (Ω) are the intrawell susceptibilities. The coordinate q(t) of a fluctuating bistable system driven by a relatively weak sinusoidal force A cos Ωt as obtained from (27) (dotted curve) is compared to the result of a digital simulation (full curve) in Fig.7 taken from Ref. [22].…”

Section: Nonlinear Effects In Stochastic Resonancementioning

confidence: 99%

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Stochastic resonance in perspective

et al. 1995

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We outline the historical development of stochastic resonance (SR), a phenomenon in which the signal and/or the signal-to-noise ratio in a nonlinear system increase with increasing intensity of noise. We discuss basic theoretical ideas explaining and describing SR, and we review some revealing experimental data that place SR within the wider context of statistical physics. We emphasize the close relationship of SR to some effects that are well known in condensed-matter physics.

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Section: B Sr In a Ring Lasermentioning

confidence: 99%

Section: Nonlinear Effects In Stochastic Resonancementioning

confidence: 99%

Stochastic resonance in perspective

et al. 1995

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“…Fluctuations are e.g. responsible for longitudinal mode switching in semiconductor lasers [2], polarization mode-hopping in Vertical Cavity Surface Emitting Lasers (VCSELs) [3][4][5], and they play a fundamental role in stochastic and coherence resonances of optical systems [6][7][8].…”

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confidence: 99%

Topological Insight into the Non-Arrhenius Mode Hopping of Semiconductor Ring Lasers

et al. 2008

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We investigate both theoretically and experimentally the stochastic switching between two counter-propagating lasing modes of a semiconductor ring laser. Experimentally, the residence time distribution cannot be described by a simple one parameter Arrhenius exponential law and reveals the presence of two different mode-hop scenarios with distinct time scales. In order to elucidate the origin of these two time scales, we propose a topological approach based on a two-dimensional dynamical system. 42.55.Px,42.60.Mi Fluctuations in active optical systems such as lasers is one of today's technological challenges as well as a fundamental problem of modern physics as they are the result of the quantum nature of the interaction between light and matter [1]. Fluctuations are e.g. responsible for longitudinal mode switching in semiconductor lasers [2], polarization mode-hopping in Vertical Cavity Surface Emitting Lasers (VCSELs) [3][4][5], and they play a fundamental role in stochastic and coherence resonances of optical systems [6][7][8].Semiconductor ring lasers (SRLs) are a particular class of lasers whose operation is strongly affected by stochastic fluctuations. The circular geometry of the active cavity allows a SRL to operate in two possible directions, namely clockwise mode (CW ) and counter-clockwise mode (CCW ). From the application point of view, SRLs are ideal candidates for all-optical information-storage. [9][10][11]. From a theoretical point of view, SRLs represent the optical prototype of nonlinear Z 2 -symmetric systems [12], which appear in many fields of physics.Fluctuations induce spontaneous abrupt changes in the SRL's directional operation from CW to CCW and vice versa, and therefore represent a major limitation to their successful applications for instance as optical memories. An in-depth understanding of the mode-hopping in SRLs would shed light on the stochastic properties of the large class of Z 2 -symmetric systems. In spite of its importance, the problem of spontaneous directional switches in SRLs remains unaddressed, partly due to the high dimensionality of the models that have been proposed for SRLs [9,13].In this paper, we address the problem of such fluctuations both theoretically and experimentally. We experimentally investigate the properties of the residence time distribution (RTD) that quantifies the mode hopping. Our theoretical analysis is based on an asymptotic reduction of a full rate-equation model to a Z 2 -symmetric planar system [14].We consider here an InP-based multiquantum-well SRL with a racetrack geometry and a free-spectralrange of 53.6 GHz. The device operates in a singletransverse, single-longitudinal mode regime at wavelength λ = 1.56µm. However, it will be clear from the rest of the discussion that our analysis is general and applies to any kind of ring geometry. A waveguide has been integrated on the same chip in order to couple power out from the ring. This bus waveguide can be independently biased in order to reduce absorption losses. The waveguide crosses the fa...

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“…Recent challenges in electrical engineering revealed that SR could be observed in a laser [2], [3], [4], nonlinear electrical circuits [5], [6], [7], sigma-delta modulators [8], quantum circuits [9], [10], [11], and so on. Noise and fluctuations are usually considered as "obstacles" in electrical systems.…”

Section: Introductionmentioning

confidence: 99%

Noise-driven image processing based on array-enhanced stochastic resonance with population heterogeneity

Utagawa

Asai

2009

2009 International Symposium on Intelligent Signal Processing and Communication Systems (ISPACS)

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We found a new class of stochastic resonance (SR) in a simple neural network that consists of i) photoreceptors generating nonuniform outputs for common inputs with random offsets, ii) an ensemble of noisy McCulloch-Pitts (MP) neurons each of which has random threshold values in the temporal domain, iii) local connections between the photoreceptors and the MP neurons with variable receptive fields (RFs), iv) the output cells, and v) local connections between the MP neurons and output cells. We calculated correlation values between the inputs and the outputs as a function of the RF size and intensities of the random components in photoreceptors and the MP neurons.We show the existence of "optimal noise intensities" of the MP neurons under the nonidentical photoreceptors and "nonzero optimal RF sizes", which indicated that optimal correlation values of this SR model were determined by two critical parameters; noise intensities (well-known) and RF sizes as a new parameter.

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Evidence of stochastic resonance in a laser with saturable absorber: Experiment and theory

Cited by 38 publications

References 12 publications

Stochastic resonance in perspective

Stochastic resonance in perspective

Topological Insight into the Non-Arrhenius Mode Hopping of Semiconductor Ring Lasers

Noise-driven image processing based on array-enhanced stochastic resonance with population heterogeneity

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