基于互谱密度函数和瑞利散射理论，推导了聚焦部分相干复宗量厄米高斯光束的光强分布和作用在瑞利电介质球上辐射力的解析表达式，并进行了相应的数值计算。结果表明：当横向相干长度较大时，聚焦部分相干复宗量厄米高斯光束具有空心光束的轮廓，空心的尺寸随着光束阶数的增加而增大；随着相干度的逐渐减小，聚焦部分相干复宗量厄米高斯光束逐渐转化成高斯光束，光强的峰值随着光束阶数的增加而减小。通过改变光束的相干度，选择合适的光束阶数、光束腰宽及透镜的焦距长度，可实现对折射率不同的两类粒子的大范围、稳定捕获，所得结论对光学捕获具有一定的理论参考价值。

Based on the cross-spectral density function and the Rayleigh scattering theory, analytical expressions of the radiation force on Rayleigh dielectric sphere and beam intensity distribution of a focused partially coherent elegant Hermite-Gaussian beam are theoretically derived and corresponding numerical calculations are done. The results denote that when the transverse coherence length degree is large, the focused partially coherent elegant Hermite-Gaussian beam gets a hollow beam profile. Furthermore, the hollow size increases as the beam orders increase. With the decrease of the coherence degree, the focused partially coherent elegant Hermite-Gaussian beam gradually transforms into a Gaussian beam. The light intensity peak decreases as the beam orders increase. Two types of particles with different refractive indexes can be stably trapped in a larger range by changing the degree of spatial coherence and selecting appropriate beam orders, beam waists and focus lengths. The acquired results will have some certain theoretical reference value to optical trapping.