Improvement of signal-to-noise ratio in a bistable optical system: Comparison between vibrational and stochastic resonance

Chizhevsky, V. N.; Giacomelli, Giovanni

doi:10.1103/physreva.71.011801

Cited by 81 publications

(48 citation statements)

References 19 publications

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“…After this seminal work VR has been studied in a bistable oscillator [7], a Duffing oscillator [8], excitable systems [9] and spatially extended systems [10]. Experimental evidences of VR in a vertical cavity surface emitting laser [11], simple electronic circuit [9] and in an overdamped Duffing oscillator [12] have been reported.…”

Section: Introductionmentioning

confidence: 99%

Vibrational and stochastic resonances in two coupled overdamped anharmonic oscillators

Gandhimathi

Rajasekar

Kurths³

2006

Physics Letters A

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We study the overdamped version of two coupled anharmonic oscillators under the influence of both low-and high-frequency forces respectively and a Gaussian noise term added to one of the two state variables of the system. The dynamics of the system is first studied in the presence of both forces separately without noise. In the presence of only one of the forces, no resonance behaviour is observed, however, hysteresis happens there. Then the influence of the high-frequency force in the presence of a low-frequency, i.e. biharmonic forcing, is studied. Vibrational resonance is found to occur when the amplitude of the high-frequency force is varied. The resonance curve resembles a stochastic resonance-like curve. It is maximum at the value of g at which the orbit lies in one well during one half of the drive cycle of the low-frequency force and in the other for the remaining half cycle. Vibrational resonance is characterized using the response amplitude and mean residence time. We show the occurrence of stochastic resonance behaviour in the overdamped system by replacing the high-frequency force by Gaussian noise. Similarities and differences between both types of resonance are presented.

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Section: Introductionmentioning

confidence: 99%

Vibrational and stochastic resonances in two coupled overdamped anharmonic oscillators

Gandhimathi

Rajasekar

Kurths³

2006

Physics Letters A

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“…Thus, an HF force provides a mechanism to achieve an effective threshold lowering. As shown in [10] for a square-wave signal of interest, it is possible to take advantage of this effective threshold lowering to improve the SR gain values evaluated at the fundamental frequency of the square wave signal. More precisely, in [10], SR gains greater than unity are found for a wide range of values of the noise strength.…”

mentioning

confidence: 99%

“…As shown in [10] for a square-wave signal of interest, it is possible to take advantage of this effective threshold lowering to improve the SR gain values evaluated at the fundamental frequency of the square wave signal. More precisely, in [10], SR gains greater than unity are found for a wide range of values of the noise strength. However, as mentioned in the same reference, this positive effect of the HF force seems to be absent when the signal of interest is sinusoidal.…”

mentioning

confidence: 99%

Stochastic resonance with weak monochromatic driving: Gains above unity induced by high-frequency signals

Casado‐Pascual¹,

Cubero²,

Baltanás³

2007

Europhys. Lett.

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Abstract. -We study the effects of a high-frequency (HF) signal on the response of a noisy bistable system to a low-frequency subthreshold sinusoidal signal. We show that, by conveniently choosing the ratio of the amplitude of the HF signal to its frequency, stochastic resonance gains greater than unity can be measured at the low-frequency value. Thus, the addition of the HF signal can entail an improvement in the detection of weak monochromatic signals. The results are explained in terms of an effective model and illustrated by means of numerical simulations.The phenomenon of stochastic resonance (SR) has been studied with growing interest during the last three decades, being found to be of relevance in a great variety of phenomena in physics, chemistry, and the life sciences [1]. Roughly speaking, SR consists in the amplification of a weak, time-dependent signal of interest by the concerted actions of noise and the nonlinearity of the system. Several quantifiers have been used to characterise the SR response of noisy systems in the presence of periodic signals. In particular, the nonmonotonic behaviour of the output signal-to-noise ratio (SNR) with the strength of the noise is a widely accepted signature of SR. In addition, a dimensionless quantity known as the SR gain is usually defined as the ratio of the output SNR over the input SNR. The SNR measures the "quality" of the signal, in terms of the ratio of its "coherent" (periodic) component over its "incoherent" (noisy) component. In turn, the SR gain compares the "qualities" of the output and the input signals. In general, obtaining high output SNRs and SR gains greater than unity would be desirable when using SR as an amplification mechanism. Analog [2,3] and numerical [4,5] simulations have shown that noisy bistable systems driven by subthreshold multifrequency forces can display SR gains greater than unity when the parameters of the problem are properly chosen. Moreover, in [6], a two-state model of SR has been used to explain these results analytically. By contrast, to the best of our knowledge, there is no evidence of SR gains greater than unity when a subthreshold monochromatic signal drives an isolated bistable system. However, these unusual large gains have been reported in the case of a suprathreshold sinusoidal signal for an isolated bistable system [7] and in the case of a subthreshold sinusoidal signal for coupled bistable systems [8].As it has been already pointed out in the literature [7], an improvement of the response of a nonlinear system to a subthreshold signal of interest embedded in noise can be achieved better by lowering the threshold value rather than by increasing the noise strength. However, in most cases of practical interest, threshold lowering is usually a difficult task. Recently, it has been shown that the effect of a strong high-frequency (HF) monochromatic force on the overdamped dynamics of a Brownian particle in a bistable potential can be described in terms of an effective potential whose characteristics depend on the par...

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“…В частности, было показано, что добавление высокочастотного сигнала с оптимальным зна-чением амплитуды позволяет получить достаточно большое усиление низкочастотных сигналов в бистабильном ВИЛ [8]. Было также экспе-риментально продемонстрировано, что вибрационный резонанс может использоваться для улучшения детектирования слабых периодических и апериодических бинарных сигналов [10,11], в том числе оптических [12]. Механизм, лежащий в основе усиления, связан с усилением сигналов вблизи бифуркации перехода из бистабильности в моностабильность, управляемой дополнительной модуляцией параметров [13].…”

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“…В эксперименте это значение тока накачки может быть найдено как значение, соответствующее минимальному порогу переключения при периодической токовой модуляции. Небольшое изменение постоянного тока накачки приводит к асимметрии бистабильного потенциала [10][11][12], что проявляется во временной динамике лазера (рис. 2, e).…”

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Усиление Автодинного Сигнала В Бистабильном Вертикально-Излучающем Лазере С Использованием Вибрационного Резонанса

Чижевский¹

2018

Письма В Журнал Технической Физики

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For the first time, it is demonstrated experimentally that a vibrational resonance in a polarization-bistable vertical-cavity surface-emitting laser can be used to increase the laser response in autodyne detection of microvibrations from reflecting surfaces. In this case, more than 25-fold signal amplification is achieved. The influence of the asymmetry of the bistable potential on the microvibration-detection efficiency is studied.

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Improvement of signal-to-noise ratio in a bistable optical system: Comparison between vibrational and stochastic resonance

Cited by 81 publications

References 19 publications

Vibrational and stochastic resonances in two coupled overdamped anharmonic oscillators

Vibrational and stochastic resonances in two coupled overdamped anharmonic oscillators

Stochastic resonance with weak monochromatic driving: Gains above unity induced by high-frequency signals

Усиление Автодинного Сигнала В Бистабильном Вертикально-Излучающем Лазере С Использованием Вибрационного Резонанса

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