根据角谱法和稳相法，推导了正弦高斯涡旋光束TE波和TM波在远场传输和能流密度的解析表达式，研究了正弦高斯涡旋光束在远场中的相位奇点和能流密度分布.结果表明:正弦高斯涡旋光束的远场特性与高斯光束的束腰宽度、涡旋离轴量、坐标位置以及与正弦项相关的参量有关.在一定条件下，远场中会出现相位奇点和能流密度黑核；当控制参量改变时，相位奇点和黑核的位置会发生移动，但原点处不受影响.相位奇点和能流密度的对称性主要受涡旋离轴量影响，当涡旋离轴量为0时，相位奇点和能流密度分布关于原点对称；当涡旋离轴量改变时，相位奇点和能流密度分布呈现出非对称性.

Based on the methods of vector angular spectrum and stationary phase, the analytical expressions of the TE and TM terms and the energy flux distributions of sinGaussian vortex beams in the far field were derived and used to analyze the phase singularities and energy flux distributions. It is shown that the farfield properties of sinGaussian vortex beams are dependent on the waist width of Gaussian beam, offaxis distance, position of coordinate and parameter related to the sine functions. Under certain conditions phase singularities and black nuclei of the energy flux distributions will appear in the far field. By changing the controlling parameters of the beams, phase singularities and black nuclei excluding those at the origin will vary. The symmetry of the phase singularities and the energy flux distributions is dependent on the vortex offaxis distance. The distributions of phase singularities and energy flux are symmetrical about the origin in case the offaxis distance is zero. With varying the offaxis distance the asymmetry may take place and the results were analyzed.