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Chin. Phys. B, 2009, Vol. 18(5): 1755-1760    DOI: 10.1088/1674-1056/18/5/007
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Stochastic resonance driven by time-modulated correlated coloured noise sources in a single-mode laser

Chen De-Yi(陈德彝)a) and Zhang Li(张莉)b)†
a Department of Physics, College of Science, China Three Gorges University, Yichang 443002, China; b College of Electrics and Information Engineering, South-Central University for Nationalities, Wuhan 430074, China
Abstract  This paper investigates the phenomenon of stochastic resonance in a single-mode laser driven by time-modulated correlated coloured noise sources. The power spectrum and signal-to-noise ratio R of the laser intensity are calculated by the linear approximation. The effects caused by noise self-correlation time $\tau_1$, $\tau_2$ and cross-correlated time $\tau_3$ for stochastic resonance are analysed in two ways: $\tau_1$, $\tau_2$ and $\tau_3$ are taken to be the independent variables and the parameters respectively. The effects of the gain coefficient $\varGamma$ and loss coefficient K on the stochastic resonance are also discussed. It is found that besides the presence of the standard form and the broad sense of stochastic resonance, the number of extrema in the curve of R versus K is reduced with the increase of the gain coefficient $\varGamma$.
Keywords:  coloured noise      coloured correlation      time-periodic modulation      signal-to-noise ratio  
Received:  17 September 2008      Revised:  16 November 2008      Accepted manuscript online: 
PACS:  42.60.Mi (Dynamical laser instabilities; noisy laser behavior)  
  42.60.Jf (Beam characteristics: profile, intensity, and power; spatial pattern formation)  
  42.60.Lh (Efficiency, stability, gain, and other operational parameters)  
  42.60.Da (Resonators, cavities, amplifiers, arrays, and rings)  

Cite this article: 

Chen De-Yi(陈德彝) and Zhang Li(张莉) Stochastic resonance driven by time-modulated correlated coloured noise sources in a single-mode laser 2009 Chin. Phys. B 18 1755

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