提出了一种超越型函数,用来描述激光强度分布,并给出了这种函数的拟合方法。该超越型函数是基于高斯类分布函数提出的,并根据多变量寻优的方法,采用方向搜索法及最小二乘法对该函数进行拟合。计算表明这种超越型函数比高斯类函数更适于描述激光强度分布;且在算法方面,采用方向搜索法的时间复杂度[O∑4Nii=1])也较传统枚举法的时间复杂度[O∑4Nii=1])有显著降低。 A transcendental function is proposed to describe the laser intensity distribution and to give a fitting method for this function. The transcendental function is proposed based on the Gaussian distribution function, and according to the multivariate optimization method, the function is fitted by the direction search method and the least square method. Computation shows that the transcendental type function is more suitable than the Gaussian class function to describe the laser intensity distribution. Moreover, the time complexity of directional search method [OΣ4Nii = 1] [OΣ4Nii = 1]) was significantly reduced.