利用角谱法和稳相法，推导出了异常空心涡旋光束的TE波和TM波在远场传输和能流密度解析表达式，研究了异常空心涡旋光束在远场中的相位奇点和能流密度分布。结果表明，在一定条件下，光场中会出现椭圆（或圆）刃型位错、直刃型位错和光涡旋；当涡旋离轴量或束腰宽度改变时，相位奇点会发生变化。能流密度的黑核位置、对称性和是否形成椭圆暗环受涡旋离轴量的影响。

Based on the methods of vector angular spectrum and stationary phase, the analytical expressions of the TE and TM terms and energy flux distributions of anomalous hollow vortex beams in the far field are derived and used to analyze the phase singularities and energy flux distributions. It is shown that under certain conditions elliptical (or circular) edge dislocation, straight edge dislocation or optical vortices will appear in the light field. By changing the vortex off-axis distance or waist width, the phase singularities will vary. The position of black nucleus, symmetry and elliptical dark ring of the energy flux distributions are dependent on the vortex off-axis distance.