引入部分相干余弦-高斯光束,推导出部分相干余弦-高斯光束通过近轴ABCD光学系统的传输公式和M2因子，研究了部分相干余弦-高斯光束通过像散透镜的传输特性.结果表明，部分相干余弦-高斯光束的M2因子与部分相干余弦-高斯光束的空间相干参量和离心参量有关，但与透镜的像散系数无关.适当选取空间相干参量，离心参量或像散系数，在几何焦面处可得到类高斯、平顶和空心等不同的光强剖面，实现部分相干余弦-高斯光束的空间整形.

The partially coherent cos-Gaussian (CsG) beam was introduced.Analytical expressions for the propagation of partially coherent CsG beams through a paraxial ABCD optical system and the M2 factor were derived.Propagation properties of partially coherent CsG beams through an astigmatic lens were studied.It is shown that the M2 factor of partially coherent CsG beams is dependent on the spatial coherence parameter and the decentered parameter of partially coherent CsG beams,but independent of the astigmatic coefficient of the lens.The Gaussian-like,flat-topped,and dark-hollow different intensity profiles at the geometrical focal plane couldn be achieved by a suitable choice of the spatial coherence parameter,decentered parameter or astigmatic coefficient.Thus,the spatial shaping of partially coherent CsG beams is realizable.