中国物理B ›› 1999, Vol. 8 ›› Issue (3): 180-184.doi: 10.1088/1004-423X/8/3/004

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STATIONARY PROBABILITY DISTRIBUTION FOR COLORED-LOSS-NOISE MODEL OF A SINGLE-MODE DYE LASER

傅海翔1, 曹力2, 吴大进2, 陈黎梅3, 丘军林4   

  1. (1)Department of Physics, Huazhong University of Science and Technology, Wuhan 430074, China; (2)Department of Physics, Huazhong University of Science and Technology, Wuhan 430074, China; China Center of Advanced Science and Technology (CCAST)(World Laboratory), P. O. Box 8730, Beijing 100080, China; (3)Department of Physics, Huazhong University of Science and Technology, Wuhan 430074, China; State Key Laboratory of Laser Technology, Huazhong University of Science and Technology, Wuhan 430074, China; (4)State Key Laboratory of Laser Technology, Huazhong University of Science and Technology, Wuhan 430074, China
  • 收稿日期:1998-07-20 出版日期:1999-03-15 发布日期:1999-03-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 19675014).

STATIONARY PROBABILITY DISTRIBUTION FOR COLORED-LOSS-NOISE MODEL OF A SINGLE-MODE DYE LASER

Chen Li-mei (陈黎梅)ab, Fu Hai-xiang (傅海翔)a, Cao Li (曹力)ac, Wu Da-jin (吴大进)ac, Qiu Jun-lin (丘军林)b   

  1. a Department of Physics, Huazhong University of Science and Technology, Wuhan 430074, China; 
    b State Key Laboratory of Laser Technology, Huazhong University of Science and Technology, Wuhan 430074, China; 
    c China Center of Advanced Science and Technology (CCAST)(World Laboratory), P. O. Box 8730, Beijing 100080, China
  • Received:1998-07-20 Online:1999-03-15 Published:1999-03-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 19675014).

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摘要： We apply the interpolation procedure to calculate the stationary probability distribution of the colored-loss-noise model of a single-mode dye laser operating above the threshold with correlation time τ covering a very wide range. By stochastic Runge-Kutta algorithm, we also carry out numerical simulations of steady-state properties. Comparing the results of the interpolation procedure and the unified colored-noise approximation with simulation results, we find that the agreement between the results of the interpolation procedure and the simulation results is much better than that of the unified colored-noise approximation when correlation time τ covers a range from moderate to large. We conclude that the interpolation procedure really improve the accuracy of predictions for this system.

Abstract: We apply the interpolation procedure to calculate the stationary probability distribution of the colored-loss-noise model of a single-mode dye laser operating above the threshold with correlation time $\tau$  covering a very wide range. By stochastic Runge-Kutta algorithm, we also carry out numerical simulations of steady-state properties. Comparing the results of the interpolation procedure and the unified colored-noise approximation with simulation results, we find that the agreement between the results of the interpolation procedure and the simulation results is much better than that of the unified colored-noise approximation when correlation time $\tau$ covers a range from moderate to large. We conclude that the interpolation procedure really improve the accuracy of predictions for this system.

中图分类号:  (Dye lasers)

  • 42.55.Mv
42.60.By (Design of specific laser systems) 02.50.Cw (Probability theory) 02.60.Ed (Interpolation; curve fitting) 02.50.Ey (Stochastic processes)