Fluctuations, stochastic resonance and noise-protected heterodyning in bistable optical systems

Dykman, M. I.; Golubev, G. P.; Kaufman, I. Kh.; Luchinsky, D. G.; McClintock, Peter V. E.; Zhukov, E. A.

doi:10.1007/bf02451831

Cited by 4 publications

(4 citation statements)

References 16 publications

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“…Building on the understanding gained from studies of the analog electronic model, both SR and NEH were subsequently observed in a nonlinear optical system [71], [72].…”

Section: A Noise-enhanced Heterodyning (Neh)mentioning

confidence: 99%

Stochastic resonance in electrical circuits. II. Nonconventional stochastic resonance

Luchinsky

Mannella

McClintock

et al. 1999

IEEE Trans. Circuits Syst. II

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Stochastic resonance (SR), in which a periodic signal in a nonlinear system can be amplified by added noise, is discussed. The application of circuit modeling techniques to the conventional form of SR, which occurs in static bistable potentials, was considered in a companion paper. Here, the investigation of nonconventional forms of SR in part using similar electronic techniques is described. In the small-signal limit, the results are well described in terms of linear response theory. Some other phenomena of topical interest, closely related to SR, are also treated.

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“…Building on the understanding gained from studies of the analog electronic model, both SR and NEH were subsequently observed in a nonlinear optical system [71], [72].…”

Section: A Noise-enhanced Heterodyning (Neh)mentioning

confidence: 99%

Stochastic resonance in electrical circuits. II. Nonconventional stochastic resonance

Luchinsky

Mannella

McClintock

et al. 1999

IEEE Trans. Circuits Syst. II

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“…The influence of system parameters, such as cavity length, mirror reflectivity, initial phase detuning, and optical antiguidance factors on bistable transmission is investigated, then the stochastic resonance is realized at a suitable bistable region by optimizing the system parameters. Its ability for processing and reconstructing the weak optical pulse signal is analyzed under different noise intensities, which is evaluated by the cross-correlation gain [18] . These results indicate that stochastic resonance in the SOA can effectively improve the detection capability of a weak optical signal.…”

mentioning

confidence: 99%

Extracting signal via stochastic resonance in the semiconductor optical amplifier

et al. 2016

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The stochastic resonance based on optical bistability in the semiconductor optical amplifier is numerically investigated to extract a weak pulse signal buried in noise. The output property of optical bistability under different system parameters is analyzed, which determines the performance of the stochastic resonance. Through optimizing these parameters, the noise-hidden signal is extracted via stochastic resonance, in which the maximum cross-correlation gain higher than nine is obtained. This provides a novel technology for detecting a weak optical signal in various signal processing fields.

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“…(1.11) and (1.11) that the signal and R in OB system indeed increase sharply with D if the heights of the "potential barriers" satisfy ∆U 1,2 ≫ D, because the probabilities of fluctuational transitions (1.3) sharply increase with noise intensity. These particular effects have been observed experimentally [114]. A sinusoidal signal at a frequency of 3.9 Hz was applied to an electro-optic modulator to modulate the input signal at wavelength 514.5 nm, while the intensity of the 488 nm radiation was modulated with noise.…”

Section: Stochastic Resonance In An Ob Systemmentioning

confidence: 80%

“…Fig. 1.3Signal-to-noise-ratio (SNR) in the optical experiment for a signal at frequency Ω = 3.9 Hz as a function of the internal noise intensity[114]. Inset: the corresponding signal amplification.…”

mentioning

confidence: 99%

Fluctuational Escape and Related Phenomena in Nonlinear Optical Systems

Khovanov

Luchinsky

Mannella

et al.

Modern Nonlinear Optics, Part III

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ii FLUCTUATIONAL ESCAPE AND RELATED PHENOMENA been selected mainly for their own intrinsic scientific interest, but also in order to provide an indication of the power and utility of the simulation approach as a means of focusing on, and reaching an understanding of, the essential physics underlying the phenomena under investigation; they also provide examples of different theoretical approaches and situations where numerical and analogue simulations have led to the development of new experimental techniques and new ideas with potential technological significance. Although the different Sections all share the same general theme -of fluctuational escape phenomena in model nonlinear optical systems -they deal with quite different aspects of the subject; each of them is therefore to a considerable extent self-contained (with Secs. 1.4 and 1.5 being exceptions, because they should be read after Sec. 1.3) and thus can be read almost independently of the others. Before considering particular systems, we review briefly the scientific context of the work and discuss in a general way the significance of escape phenomena in nonlinear optics.The investigation of fluctuations by means of analog or digital simulation is usually found most useful for those systems where the fluctuations of the quantities of immediate physical interest can be assumed to be due to noise. The latter perception of fluctuations goes back to Einstein, Smoluchowski, and Langevin [2, 3, 4] and has often been used in optics (cf. Refs. [5,6,7,8]). In nonlinear optics, the noise can be regarded as arising from two main sources. First there are internal fluctuations in the macroscopic system itself. These arise because spontaneous emission of light by individual atoms occurs at random, and because of fluctuations in the populations of atomic energy levels. The physical characteristics of such noise are usually closely related to the physical characteristics of the model that describes the "regular" dynamics of the system, i.e. in the absence of noise. In particular, the power spectrum of thermal noise and its intensity can be expressed in terms of the dissipation characteristics via the fluctuation-dissipation relations (cf. Ref. [9]) and, if the dissipation is non-retarded so that the corresponding dissipative forces (e.g. the friction force) depend only on the instantaneous values of dynamical variables, the noise power spectrum is independent of frequency, i.e. the noise is white. The model of noise as being white and Gaussian is one of the most commonly used in optics because the quantities of physical interest often vary slowly compared with the fast random processes that give rise to the noise, like emission or absorption of a photon [5,6,7,8]. The second very important source of noise is external: for example, fluctuations of the pump power in a laser. The physical characteristics of such noise naturally vary from one particular system to another; its correlation time is often much longer than that of the internal noise, and its effects can be larg...

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Fluctuations, stochastic resonance and noise-protected heterodyning in bistable optical systems

Cited by 4 publications

References 16 publications

Stochastic resonance in electrical circuits. II. Nonconventional stochastic resonance

Stochastic resonance in electrical circuits. II. Nonconventional stochastic resonance

Extracting signal via stochastic resonance in the semiconductor optical amplifier

Fluctuational Escape and Related Phenomena in Nonlinear Optical Systems

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