：为了研究部分相干双曲正弦-高斯(SHG)光束通过像散透镜的传输和聚焦特性，利用部分相干光的传输公式，推导了光束通过像散透镜后光强分布解析的表达式，并据此得到了光束束腰宽度、远场发散角和M²因子的解析表达式，并对光束强度分布和束腰宽度进行了数值计算和分析。结果表明：部分相干ShG光束聚焦的光强分布与像散系数C₆，空间相干参数β，离心参数a，菲涅耳数N_w和位置(x，y，z)有关。像散导致x和y方向束宽不同。但M²因子与像散无关，并随相干性的增加和离心参数的减小而减小。适当改变像散和空间相干性，在几何焦面和其它位置可实现部分相干ShG光束的空间整形。

In order to study the propagation and focusing properties of partially coherent sinh-Gaussian (SHG) beams through an astigmatic lens, the analytical expression of the intensity was derived based on the transmission formula of partially coherent beams, and the analytical expression of the beam width, the far-field divergence angle and the M² factor were deduced, the intensity and the beam width were calculated and analyzed. It is found that the intensity distributions of focused partially coherent ShG beams depend on the astigmatic coefficient C₆, spatial coherence parameter β, decentered parameter a, Fresnel number N_w and position (x, y, z) in general. The astigmatism results in a difference between the beam widths in the x and y directions, but the M² factor is independent of the astigmatism and decreases as the coherence increases and the decentered parameter decreases. The spatial beam shaping is achievable at the geometrical focal plane and other positions by properly varying the astigmatism and spatial coherence.