Zhou Guoquan
School of Sciences, Zhejiang Forestry University, Lin'an 311300, Zhejiang Province, China.
J Opt Soc Am A Opt Image Sci Vis. 2010 Mar 1;27(3):563-71. doi: 10.1364/JOSAA.27.000563.
An orthonormal family of super Lorentz-Gauss (SLG) modes is proposed to describe the highly divergent higher-order modes. The first-order and the second-order SLG modes SLG(01) and SLG(11) are illustrated as examples. Analytical propagation formulas of the SLG(01) and SLG(11) modes through a paraxial ABCD optical system are derived, and analytical beam propagation factors of the SLG(01) and SLG(11) modes are presented. The paraxial propagation properties of the SLG(01) and SLG(11) modes in free space are also compared with those of the corresponding Hermite-Gaussian (HG) HG(01) and HG(11) modes, respectively. This research indicates that SLG modes are more appropriate than HG modes to describe the highly divergent higher-order modes.
提出了一个超洛伦兹 - 高斯（SLG）模式的正交归一化族来描述高度发散的高阶模式。以一阶和二阶SLG模式SLG(01)和SLG(11)为例进行说明。推导了SLG(01)和SLG(11)模式通过傍轴ABCD光学系统的解析传播公式，并给出了SLG(01)和SLG(11)模式的解析光束传播因子。还分别将SLG(01)和SLG(11)模式在自由空间中的傍轴传播特性与相应的厄米 - 高斯（HG）HG(01)和HG(11)模式的特性进行了比较。这项研究表明，SLG模式比HG模式更适合描述高度发散的高阶模式。
