运用非傍轴标量光束的光强二阶矩理论,计算了非傍轴双曲余弦高斯光束的束腰半径、远场发散角、质量因子,并与傍轴双曲余弦高斯光束的质量因子进行了比较研究。数值计算表明:当双曲余弦高斯光束束腰半径较大时,傍轴与非傍轴理论计算的光束质量因子变化规律完全相同;束腰半径较小时,傍轴理论的计算结果有较大误差。 The beam waist radius, far-field divergence angle and mass factor of non-paraxial hyperbolic cosine Gaussian beam are calculated by using the second-order moment theory of non-paraxial scalar beams. The quality factor of paraxial hyperbolic cosine Gaussian beam is calculated A comparative study. The numerical results show that when the beam waist radius of hyperbolic cosine Gaussian beam is large, the law of beam quality factor calculated by the paraxial and non-paraxial theories is exactly the same. When the beam waist radius is small, the paraxial theory has larger error .