中国物理B ›› 2009, Vol. 18 ›› Issue (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

张莉1, 陈德彝2   

  1. (1)College of Electrics and Information Engineering, South-Central University for Nationalities, Wuhan 430074, China; (2)Department of Physics, College of Science, China Three Gorges University, Yichang 443002, China
  • 收稿日期:2008-09-17 修回日期:2008-11-16 出版日期:2009-05-20 发布日期:2009-05-20

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)†   

  1. 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
  • Received:2008-09-17 Revised:2008-11-16 Online:2009-05-20 Published:2009-05-20

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摘要： 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 τ1, τ2 and cross-correlated time τ3 for stochastic resonance are analysed in two ways: τ1, τ2 and τ3 are taken to be the independent variables and the parameters respectively. The effects of the gain coefficient Γ 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 Γ.

关键词: coloured noise, coloured correlation, time-periodic modulation, signal-to-noise ratio

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 $\varGamma$.

Key words: coloured noise, coloured correlation, time-periodic modulation, signal-to-noise ratio

中图分类号:  (Dynamical laser instabilities; noisy laser behavior)

  • 42.60.Mi
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)