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Journal of Yangtze University

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

Gui Di

Published Jan 1, 2011• 0 citations
OpenAlex

Abstract

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.

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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.
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.
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.
Under the influence of amplitude modulated signal,we use the linear approximation method to study the output power spectrum and signal-to-noise ratio of the saturation laser model driven by the correlated real and imaginary parts of quantum noise and the pump noise.According to the computer data and mapping,we specifically discuss the phenomenon λq of stochastic resonance of the system which happened by the changes of the signal frequency,the correlation λq of real and imaginary parts of quantum noise and the intensities of pump noise.The results show that the system has resonance phenomenon when λq=0.Although the modulated signal has a significant impact on the system,due to the zero correlation between quantum noise and pump noise,there is no phenomenon of stochastic resonance happening when other parameters change.
Stochastic resonance (SR) is experimentally demonstrated in an atomic optical bistable system consisting of three-level atoms in $\ensuremath{\Lambda}$-type configuration confined in an optical ring cavity. The optical bistable system with enhanced Kerr nonlinearity due to atomic coherence is driven by a periodic signal and a Gaussian white noise source with variable amplitude, and displays an improved output signal-to-noise ratio, a characteristic signature of SR. The measured results match qualitatively with the theoretical predictions of the generic model for the SR phenomenon.