Based on the Huygens–Fresnelintegral and second-order intensity moments, analytical expressions for paraxial propagation, and the beam propagation factor ($M^2$) of a circular cosine hyperbolic-Gaussian beam (CiChGB) have been derived. The propagation properties of a CiChGB in free-space including the beam width and $M^2$ factor, and the beam focusing by a thin lens are numerically demonstrated. It is found that the profile of the beam at the initial plane and its propagation characteristics are closely related to its decentered parameter b. The focal shift and $M^2$ factor of a CiChGB are shown to be smaller when the parameter b is larger. The obtained results could be beneficial for applications of CiChGBs in beam shaping, optical trapping.

基于惠更斯-菲涅耳积分和二阶强度矩、近轴传播的解析表达式和光束传播因子（${米}^2$) 的圆余弦双曲高斯光束 (CiChGB) 已经被推导出来。CiChGB 在自由空间中的传播特性，包括波束宽度和${米}^2$因子，并通过数值演示了薄透镜的光束聚焦。发现光束在初始平面的轮廓及其传播特性与其偏心参数b密切相关。焦点偏移和${米}^2$当参数 b 较大时，显示 CiChGB 的因子较小。获得的结果可能有益于 CiChGBs 在光束整形、光捕获中的应用。