Signal-to-noise ratio improvement by stochastic resonance in a unidirectional photorefractive ring resonator

Jost, Bradley M.; Saleh, Bahaa E. A.

doi:10.1364/ol.21.000287

Cited by 35 publications

(16 citation statements)

References 16 publications

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“…The threshold conditions appearing in the Eq. (19) and (20) for CUPRR could be rewritten in terms of the cavity parameters (cavity detuning, reflectivity of mirrors, linear loss and degenerate two-beam intensity coupling constant of the PR medium) as,…”

Section: Oscillation Conditions For Cuprrmentioning

confidence: 99%

“…These devices perform important tasks in several optical applications, e.g., optical switching, 8,9 optical computing, 10,11 optical signal processing, 12 and beam steering. 13 The phenomenon of two-beam coupling in photorefractive crystals has been studied by several authors theoretically and experimentally, [14][15][16][17] to obtain ring-cavity oscillation in the basic configuration of single unidirectional photorefractive ring resonator (SUPRR) [18][19][20][21][22] and coupled unidirectional photorefractive ring resonator (CUPRR). [23][24][25] One of the advantages of these resonators is that the condition of oscillations can be easily satisfied and these are capable of providing large oscillation intensity by changing the cavity detuning with very small frequency shift (a few Hz).…”

Section: Introductionmentioning

confidence: 99%

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Study of oscillation performance characteristics of unidirectional photorefractive ring resonators: Cavity detuning dependence

2015

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Single unidirectional photorefractive ring resonator (SUPRR) and coupled unidirectional photorefractive ring resonator (CUPRR) were considered with BaTiO3 and LiNbO3 crystals as inter-cavity photorefractive media. The relative oscillation intensity and oscillation frequency shift of two SUPRRs with BaTiO3 and LiNbO3 crystals in their cavities, and four CUPRRs with BaTiO3-BaTiO3, LiNbO3-LiNbO3, BaTiO3-LiNbO3 and LiNbO3-BaTiO3 combinations were analysed relative to cavity detuning parameters and compared the oscillation performance of SUPRR with that of CUPRR. In SUPRR, maximum value of relative oscillation intensity is found for BaTiO3 as compared to that of LiNbO3 for zero cavity detuning. In CUPRR, the oscillation intensity in secondary cavity increases with increasing cavities detuning whereas in primary cavity it decreases with increasing cavities detuning. Major finding of this study is that the BaTiO3-LiNbO3 combination of the coupled system provides the highest relative oscillation intensity.

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Section: Oscillation Conditions For Cuprrmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Study of oscillation performance characteristics of unidirectional photorefractive ring resonators: Cavity detuning dependence

2015

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“…Since its introduction some twenty-five years ago in the context of climate dynamics, the phenomenon of stochastic resonance has experienced a large variety of extensions, developments, and observations in many areas of natural sciences (for overviews, see, for instance, [1,2]). In particular, occurrences of stochastic resonance have been reported in optics (for example, in [3][4][5][6][7][8]). Recently, stochastic resonance has been observed in coherent imaging with speckle noise in [8], where the possibility of a constructive action of speckle noise in the transmission of an image in a coherent imaging system is reported.…”

Section: Introductionmentioning

confidence: 99%

Optimizing the speckle noise for maximum efficacy of data acquisition in coherent imaging

et al. 2008

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The impact of multiplicative speckle noise on data acquisition in coherent imaging is studied. This demonstrates the possibility to optimally adjust the level of the speckle noise in order to deliberately exploit, with maximum efficacy, the saturation naturally limiting linear image sensors such as CCD cameras, for instance. This constructive action of speckle noise cooperating with saturation can be interpreted as a novel instance of stochastic resonance or a useful-noise effect.

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“…the flux established after the formation of a quasistationary distribution within the well (up to the barrier). The quasi-stationary flux is characterized by a slow exponential decay, an Arrhenius dependence on temperature T , and a relatively weak dependence on friction Γ: 25) where P depends on Γ and T in a non-activation manner. But how does the flux evolve from its zero value at the initial moment to its quasi-stationary value at time-scales exceeding the time t f for the formation of quasi-equilibrium?…”

Section: Optimal Paths On a Finite Time Range And Conclusionmentioning

confidence: 99%

“…[14,15,16,17,18] for reviews. SR has also been extensively investigated in nonlinear optical systems including lasers [19,20,21,22], passive optical systems [23,24,25,26], and a Brownian particle in an optical trap [27]. In this chapter, following a brief introduction to the SR phenomenon in an optical bistable system, a new form of optical heterodyning related to stochastic resonance is described, in which two high-frequency signals (input and reference signals) are applied to a bistable system.…”

Section: Introduction IIImentioning

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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Signal-to-noise ratio improvement by stochastic resonance in a unidirectional photorefractive ring resonator

Cited by 35 publications

References 16 publications

Study of oscillation performance characteristics of unidirectional photorefractive ring resonators: Cavity detuning dependence

Study of oscillation performance characteristics of unidirectional photorefractive ring resonators: Cavity detuning dependence

Optimizing the speckle noise for maximum efficacy of data acquisition in coherent imaging

Fluctuational Escape and Related Phenomena in Nonlinear Optical Systems

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