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The relaxation time of a single-mode dye laser system driven by cross-correlated additive and multiplicative noises

Author

Listed:
  • Jin, Yanfei
  • Xu, Wei
  • Xie, Wenxian
  • Xu, Meng

Abstract

The relaxation time Tc of the intensity correlation function is investigated in a single-mode dye laser system driven by cross-correlated additive and multiplicative white noises. The expression for Tc is obtained by using the projector–operator method. And then the effects of correlation intensity between noises λ and correlation time between noises τ on Tc are studied. Numerical results show that the correlation intensity λ speeds up the intensity fluctuation decay of laser slightly above threshold in the presence of nonzero τ. Meanwhile, when λ>0, τ suppresses the intensity fluctuation of laser. But when λ>0, τ enhances the intensity fluctuation of laser. Moreover, the effects of λ and τ on the intensity fluctuation also depend on the noise intensity ratio R and net gain coefficient a0.

Suggested Citation

  • Jin, Yanfei & Xu, Wei & Xie, Wenxian & Xu, Meng, 2005. "The relaxation time of a single-mode dye laser system driven by cross-correlated additive and multiplicative noises," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 354(C), pages 143-152.
  • Handle: RePEc:eee:phsmap:v:354:y:2005:i:c:p:143-152
    DOI: 10.1016/j.physa.2005.02.049
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    Cited by:

    1. Zhang, Huiqing & Xu, Wei & Xu, Yong, 2009. "The study on a stochastic system with non-Gaussian noise and Gaussian colored noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(6), pages 781-788.

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