Xu Yiqing, Zhou Guoquan
J Opt Soc Am A Opt Image Sci Vis. 2019 Feb 1;36(2):179-185. doi: 10.1364/JOSAA.36.000179.
A circular Lorentz-Gauss beam is introduced. The analytical optical field of the circular Lorentz-Gauss beam passing through a paraxial optical system is derived. Based on the second- and higher-order moments of the light intensity, the analytical beam propagation factor of a circular Lorentz-Gauss beam and the analytical kurtosis parameter of a circular Lorentz-Gauss beam passing through a paraxial optical system have also been derived. The properties of the circular Lorentz-Gauss beam propagating in free space are demonstrated. The normalized intensity distribution, the beam half width, the beam waist, the divergence, the beam propagation factor, and the kurtosis parameter of the circular Lorentz-Gauss beam are compared with those of the corresponding Lorentz-Gauss beam, respectively. The main difference between the circular Lorentz-Gauss and the Lorentz-Gauss beams is their different peripheries. The circular Lorentz-Gauss beam has better symmetry than the Lorentz-Gauss beam. The beam propagation factor of the circular Lorentz-Gauss beam is always slightly larger than that of the Lorentz-Gauss beam. Therefore, the circular Lorentz-Gauss beam is the enrichment and supplement of the existing Lorentz-Gauss beam.
引入了一种圆洛伦兹 - 高斯光束。推导了圆洛伦兹 - 高斯光束通过傍轴光学系统的解析光场。基于光强的二阶及高阶矩，还推导了圆洛伦兹 - 高斯光束的解析光束传输因子以及圆洛伦兹 - 高斯光束通过傍轴光学系统的解析峰度参数。展示了圆洛伦兹 - 高斯光束在自由空间中的传播特性。将圆洛伦兹 - 高斯光束的归一化强度分布、束腰半宽、束腰、发散角、光束传输因子和峰度参数分别与相应的洛伦兹 - 高斯光束进行了比较。圆洛伦兹 - 高斯光束与洛伦兹 - 高斯光束的主要区别在于它们不同的周边形状。圆洛伦兹 - 高斯光束比洛伦兹 - 高斯光束具有更好的对称性。圆洛伦兹 - 高斯光束的光束传输因子总是略大于洛伦兹 - 高斯光束的光束传输因子。因此，圆洛伦兹 - 高斯光束是对现有洛伦兹 - 高斯光束的丰富和补充。
