Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Journal of Huaiyin Teachers College

Stochastic Resonance in the Dispersive Optical Bi-stability System

Shi Chao Jin

Published Jan 1, 2007• 0 citations
OpenAlex

Abstract

With the unified colored noise approximation theory,the steepest descent method and the two-state approach theory,the effects of noise on the stochastic resonance and the mean first passage time of the dispersive optical bistability system are investigated.It is found that when there is a weak periodic signal included in the system,with both multiplicative colored noise and multiplicative white noise,the signal-to-noise ratio and the mean first passage time of the system are affected not only by the noise correlation time,but also by the intensity of both multiplicative colored noise and multiplicative white noise.It is shown that the stochastic resonance phenomenon depends on the initial conditions of the system.

Related papers

交叉关联的加性白噪声和乘性色噪声对光学双稳系统随机共振的影响

Bing Wang, Xiuqing Wu, Jianfa Qian

The stochastic resonance (SR) of an optical bistable system with cross-correlated additive white and multiplicative colored noises and periodic signal is studied using the unified colored noise approximation and the theory of signal-to-noise ratio (SNR).Results show that cross-correlation intensity λ enforces the SR of the system.The position of the peak on the SNR-τ curves moves to the right direction along with the increase of λ (τ is the self-correlation time of the multiplicative colored noise).We find the SR phenomenon in the SNR-D and SNR-Q curves (D and Q are the intensities of the additive and multiplicative noises, respectively), but not in the SNR-λ curves.

Chinese Optics Letters•Jan 1, 2010•2 citations

Stochastic resonance in optical bistable system

Ning Li-Juan, Xu Wei, 西北工业大学应用数学系,西安 710072

The stochastic resonance (SR) in an optical bistable system under the simultaneous action of multiplicative and additive noises and periodic signal is studied using the adiabatic approximation theory. The signal-to-noise ratio(SNR)is a non-monotonic function of intensity of additive noise, in which the SR phenomenon appears. The SNR decreased with the intensity of multiplicative noise, and SR phenomenon does not appear. So the effects of additive and multiplicative noise on the output SNR are different.

Acta Physica Sinica•Jan 1, 2007•7 citations

The Dynamic Behavior of the Optical Bistability System Driven by Two Colored Noises

Qinghua Cheng

By adopting the linear approximation method,the signal-to-noise ratio of optical bistability system driven by colored pump noise and colored quantum noise was calculated. The influence on the signal-to-noise ratio of the pump noise intensity(P),quantum noise intensity(Q),pump noise self-correlation time (τ1) and quantum noise self-correlation time (τ2) was studied. The stochastic resonance was found in the curve of signal-to-noise ratio R versus the pump noise self-correlation time (τ1) was discussed,while the great influence on the stochastic resonance is posed by quantum noise self-correlation time,when (τ2) increases,the curve of signal-to-noise ratio R versus the pump noise self-correlation time (τ1) upgrates integratedly,and resonance-peak increases.It could prolong the quantum noise self-correlation time (τ2) to increase the signal-to-noise ratio R.There is a maximum in the curve of signal-to-noise ratio R versus the parameter of the optical bistability system c,while pump noise self-correlation time (τ1) greatly influences the curve of signal-to-noise ratio R versus the parameter of the optical bistability system c. With the increase of pump noise self-correlation time (τ1),the maximum declines and the curve becomes flat.It is indicated that the signal-to-noise ratio increases through reducing the pump noise self-correlation time (τ1).Besides,signal-to-noise ratio R monotonously increases with the increase of pump noise intensity P,and motonously decreases with the increase of quantum noise intensity Q.

Journal of Yangtze University•Jan 1, 2010•0 citations

Stochastic Resonance in Optical Bistable System Driven by Colored Pump Noise with Bias Signal Modulating

Gui Di

In the optical bistable system driven by colored pump noise with the bias signal modulating,the signal-to-noise ratio(SNR) is caculated with the linear approximation method,and the influence on SNR imposed by the bias signal,noise,as well as the correlation of the noise is discussed.The stochastic resonance(SR) is observed both in the curves of the SNR versus the pump noise and the quantum noise.Besides,the great influence on the SNR imposed by the correlation coefficient is found between the pump noise and the quantum noise.

Journal of Yangtze University•Jan 1, 2011•0 citations

Dynamic Behavior of the Optical Bistability System Driven by Periodic Signal Modulating Noises

Dahai Xu

The intensity of correlation function and signal-to-noise ratio(SNR)of an aborptive optical bistability system driven by a periodic signal are studied.from analyzing the SNR,the stochastic resonance phynomenon of SNR with the change of pump noise self-correlation time was found,both decreasing the intensity of quantum noise and increasing the intensity of pump noise,can increase the stochastic resonance phynomenon.

Journal of Yangtze University•Jan 1, 2010•0 citations

交叉关联的加性白噪声和乘性色噪声驱动的光学双稳系统的关联函数研究

Bing Wang, Shaoping Yan

Considering an optical bistable system with cross-correlated additive white noise and multiplicative colored noise, we study the effects of correlation between the noises on the correlation function C(s) using the unified colored noise approximation and the Stratonovich decoupling ansatz formalism.The effects of the self-correlation time τ of the multiplicative colored noise and the correlation intensity λ between the two noises are studied with numerical calculation.It is found that C(s) increases with the increase of the self-correlation time τ, but decreases with the increase of the correlation intensity λ.At large value of τ, there is almost no change for C(s) when τ changes.

Chinese Optics Letters•Jan 1, 2009•4 citations
With the unified colored noise approximation theory,the steepest descent method and the two-state approach theory,the effects of noise on the stochastic resonance and the mean first passage time of the dispersive optical bistability system are investigated.It is found that when there is a weak periodic signal included in the system,with both multiplicative colored noise and multiplicative white noise,the signal-to-noise ratio and the mean first passage time of the system are affected not only by the noise correlation time,but also by the intensity of both multiplicative colored noise and multiplicative white noise.It is shown that the stochastic resonance phenomenon depends on the initial conditions of the system.
The stochastic resonance (SR) of an optical bistable system with cross-correlated additive white and multiplicative colored noises and periodic signal is studied using the unified colored noise approximation and the theory of signal-to-noise ratio (SNR).Results show that cross-correlation intensity λ enforces the SR of the system.The position of the peak on the SNR-τ curves moves to the right direction along with the increase of λ (τ is the self-correlation time of the multiplicative colored noise).We find the SR phenomenon in the SNR-D and SNR-Q curves (D and Q are the intensities of the additive and multiplicative noises, respectively), but not in the SNR-λ curves.
The stochastic resonance (SR) in an optical bistable system under the simultaneous action of multiplicative and additive noises and periodic signal is studied using the adiabatic approximation theory. The signal-to-noise ratio(SNR)is a non-monotonic function of intensity of additive noise, in which the SR phenomenon appears. The SNR decreased with the intensity of multiplicative noise, and SR phenomenon does not appear. So the effects of additive and multiplicative noise on the output SNR are different.
By adopting the linear approximation method,the signal-to-noise ratio of optical bistability system driven by colored pump noise and colored quantum noise was calculated. The influence on the signal-to-noise ratio of the pump noise intensity(P),quantum noise intensity(Q),pump noise self-correlation time (τ1) and quantum noise self-correlation time (τ2) was studied. The stochastic resonance was found in the curve of signal-to-noise ratio R versus the pump noise self-correlation time (τ1) was discussed,while the great influence on the stochastic resonance is posed by quantum noise self-correlation time,when (τ2) increases,the curve of signal-to-noise ratio R versus the pump noise self-correlation time (τ1) upgrates integratedly,and resonance-peak increases.It could prolong the quantum noise self-correlation time (τ2) to increase the signal-to-noise ratio R.There is a maximum in the curve of signal-to-noise ratio R versus the parameter of the optical bistability system c,while pump noise self-correlation time (τ1) greatly influences the curve of signal-to-noise ratio R versus the parameter of the optical bistability system c. With the increase of pump noise self-correlation time (τ1),the maximum declines and the curve becomes flat.It is indicated that the signal-to-noise ratio increases through reducing the pump noise self-correlation time (τ1).Besides,signal-to-noise ratio R monotonously increases with the increase of pump noise intensity P,and motonously decreases with the increase of quantum noise intensity Q.
In the optical bistable system driven by colored pump noise with the bias signal modulating,the signal-to-noise ratio(SNR) is caculated with the linear approximation method,and the influence on SNR imposed by the bias signal,noise,as well as the correlation of the noise is discussed.The stochastic resonance(SR) is observed both in the curves of the SNR versus the pump noise and the quantum noise.Besides,the great influence on the SNR imposed by the correlation coefficient is found between the pump noise and the quantum noise.
Considering an optical bistable system with cross-correlated additive white noise and multiplicative colored noise, we study the effects of correlation between the noises on the correlation function C(s) using the unified colored noise approximation and the Stratonovich decoupling ansatz formalism.The effects of the self-correlation time τ of the multiplicative colored noise and the correlation intensity λ between the two noises are studied with numerical calculation.It is found that C(s) increases with the increase of the self-correlation time τ, but decreases with the increase of the correlation intensity λ.At large value of τ, there is almost no change for C(s) when τ changes.