基于广义惠更斯-菲涅耳原理，采用Rytov相位结构函数二次近似和硬边窗口函数的复高斯展开法，推导了受光阑限制的多色高斯-谢尔模型(GSM)光束在大气湍流中的二阶矩束宽公式。研究表明：二阶矩束宽随着大气湍流折射率结构常数、源光谱带宽和光束传输距离的增加而增大，随着光束截断参数和光束相干参数的增加而减小；并且，当源光谱带宽越大、光束截断参数和光束相干参数越小，则湍流对受光阑限制的多色GSM光束扩展的影响就越小。

Based on the extended Huygens-Fresnel principle, the expression for the mean-squared width of apertured polychromatic Gaussian Schell-model (GSM) beams propagating through atmospheric turbulence is derived by using the quadratic approximation of Rytov’s phase structure function and the method of the window function being expanded into a finite sum of complex-valued Gaussian functions. It is shown that the mean squared beam width of apertured polychromatic GSM beam increases with increasing the refractive index structure constant, the beam bandwidth and the propagation distance, and with decreasing the beam truncation parameter and the beam coherence parameter. Furthermore, apertured polychromatic GSM beams with larger bandwidth, smaller beam truncation parameter, and smaller beam coherence parameter are less affected by the turbulence.