中国物理B ›› 2006, Vol. 15 ›› Issue (12): 2861-2866.doi: 10.1088/1009-1963/15/12/016

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Statistical fluctuations in a saturation laser model with correlated noises

陈世波, 梅冬成   

  1. Department of Physics, Yunnan University, Kunming 650091, China
  • 收稿日期:2006-02-17 修回日期:2006-07-07 出版日期:2006-12-20 发布日期:2006-12-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 10363001) and the Natural Science Foundation of Yunnan province (Grant No 2005A0002M).

Statistical fluctuations in a saturation laser model with correlated noises

Chen Shi-Bo(陈世波) and Mei Dong-Cheng(梅冬成)†   

  1. Department of Physics, Yunnan University, Kunming 650091, China
  • Received:2006-02-17 Revised:2006-07-07 Online:2006-12-20 Published:2006-12-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 10363001) and the Natural Science Foundation of Yunnan province (Grant No 2005A0002M).

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摘要： We study the effects of correlations between quantum and pump noises on fluctuations of the laser intensity in a saturation laser model. An approximative Fokker--Planck equation and analytic expressions of the steady-state probability distribution function (SPD) of the laser system are derived. Based on the SPD, the normalized mean, the normalized variance, and the normalized skewness of the steady-state laser intensity are calculated numerically. The results indicate that (i) the correlation strength \lambda of correlated noises always enhances the fluctuation of laser intensity; (ii) the correlation time \tau of correlated noises strengthens the fluctuation of laser intensity for the below-threshold case but \tau weakens it for the above-threshold case.

关键词: saturation laser model, correlated noises, fluctuation phenomena

Abstract: We study the effects of correlations between quantum and pump noises on fluctuations of the laser intensity in a saturation laser model. An approximative Fokker--Planck equation and analytic expressions of the steady-state probability distribution function (SPD) of the laser system are derived. Based on the SPD, the normalized mean, the normalized variance, and the normalized skewness of the steady-state laser intensity are calculated numerically. The results indicate that (i) the correlation strength $\lambda$ of correlated noises always enhances the fluctuation of laser intensity; (ii) the correlation time $\tau$ of correlated noises strengthens the fluctuation of laser intensity for the below-threshold case but $\tau$ weakens it for the above-threshold case.

Key words: saturation laser model, correlated noises, fluctuation phenomena

中图分类号:  (Noise)

  • 05.40.Ca
02.50.Cw (Probability theory) 02.50.Ng (Distribution theory and Monte Carlo studies)