基于拓展的惠更斯菲涅耳原理和魏格纳分布函数，理论推导了异常二阶空心光束在海洋湍流中的光束质量因子的表达式，并进行了相应的数值计算和分析。结果表明：异常空心光束的质量因子随着传输距离的减少和光束波长的增大而减少；传输距离一定时，随着光束束宽的增加，质量因子先减小后增大；随着相干长度的增加，质量因子逐渐减小，最后保持一个定值不变。在海洋湍流中，光束质量与动能耗散率、温度方差耗散率、盐度及温度变化比有关，随着动能耗散率的减小、温度方差耗散率及温度盐度比的增大，质量因子逐渐减小。所得结果对实际光束在海洋湍流中的传输及应用具有一定的参考价值。

Based on the extended Huygens-Fresnel principle and Wigner distribution function, the formulas for the propagation factor of anomalous hollow beams in oceanic turbulence are derived and the corresponding numerical calculation and analysis are carried out. The results indicate that the propagation factor of anomalous hollow beams will reduce along the decrease of the transmission distance and the increase of beam wavelength; when the transmission distance is fixed，the propagation factor of anomalous hollow beams will reduce at first, then increase with the increase of beam width; and the beams also reduce at first, and it is invariant in the end with the coherence length increased on the same premise. In oceanic turbulence, the propagation factor of anomalous hollow beams is associated with the kinetic energy dissipation rate, the temperature variance dissipation rate, and the salinity and temperature change ratio. The propagation factor must reduce gradually due to the increase of kinetic energy dissipation rate and the increase of the temperature variance dissipation rate and the salinity and temperature change ratio. These results are useful for the transmission and application of beams in the oceanic turbulence.