推导出部分相干厄米高斯(H-G)列阵光束在大气湍流中等效曲率半径R的解析公式。该公式具有一般性，它可简化为几种典型特例。研究表明湍流导致光束的R减小。光强叠加时R受湍流的影响比交叉谱密度函数叠加时小。自由空间中高斯谢尔模型列阵光束和高斯列阵光束的R比部分相干H-G列阵光束的大，但受湍流的影响也更大。自由空间中单束部分相干H-G光束的R比部分相干H-G列阵光束的小，但受湍流的影响也更小。光强叠加情况下，自由空间中完全相干H-G列阵光束的R比部分相干H-G列阵光束的大，但受湍流的影响也更大。一般来说，自由空间中R越大其受湍流影响也越大。因此，当光束传输到一定距离之后，湍流使得原来在自由空间中较大的R变小，而较小的R变大。

The analytical expression for the effective radius of curvature R of partially coherent Hermite-Gaussian (H-G) array beams propagating through atmospheric turbulence is derived, which is general and can be reduced to several typical cases. It is shown that turbulence results in a decrease of R. For the superposition of the intensity R is less sensitive to turbulence than that for the superposition of the cross-spectral density function. In free space, R of Gaussian Schell-model array beams and Gaussian array beams is larger than that of partially coherent H-G array beams, but it is more affected by turbulence. In free space, R of a single partially coherent H-G beam is smaller than that of the partially coherent H-G array beam, but it is less affected by turbulence. For the superposition of the intensity, the R of fully coherent H-G array beams is larger than that of partially coherent H-G array beams, but it is more affected by turbulence. In general, R is more sensitive to turbulence, if R is larger in free space. Therefore, the R of laser beams with larger R in free space will become smaller than the R of those with smaller R in free space after a certain propagation distance in turbulence.