本文首先把Ｊｕｎｇ和Ｈａｎｇｇｉ提出的统一色噪声近似推广到多维情形，从而导出了这一近似下单模染料激光色立方模型的朗之万方程和福克－普朗克方程；得到了该模型第一通过时间分布的平均值，协方差和偏斜率的近似解析式并将其和数值模拟进行比较． In this paper, we first generalize the uniform colored noise proposed by Jung and Hanggi to the multidimensional case, and then derive the Langevin equation and the Fokker-Planck equation for the single-mode dye-laser color cube model under this approximation. An approximate analysis of the mean, covariance and skewness over time distributions was made and compared with numerical simulations.