染料激光瞬态过程中的噪声

Noise in dye laser transients

本文用首次通过时间的方法来分析染料激光瞬态的统计性质.提出了单模染料激光的理论模型,用白噪声简化泵浦涨落,通过福克-曾朗克方程求出首次通过时间分布的平均值、方差和偏斜度的解析解.与实验数据和用蒙特卡罗模拟获得的曲线相比较,解析解的结果与实验测量和数值计算符合得很好.

Statistical properties of dye laser transients are analyzed by first-passage-time technique. Both pump and quantum fluctuations effece the establishment of steady states in a dye laser. These two kinds of noise play different roles in laser transients. Meanwhile it is difficult to discern them since the pump fluctuations are six orders of magnitude larger than the quantum noise. In this paper a model of single mode dye laser with pump fluctuations simplified by white noise is presented and the analytic results of the mean, variance and skewness of first-passage-time distributions are obtained through a Fokker-Planck equation. Compared with experimental measurements and curves from Monte Carlo simulations, excellent agreement is obtained.