摘要
对复宗量双曲正弦高斯(EshG)光束的一些基本特性进行了研究。由Collins公式出发推导出了光束通过近轴ABCD光学系统传输的场分布函数,根据二阶矩的定义和光束在近轴ABCD光学系统中的传输公式推导出了光束通过近轴ABCD光学系统光斑尺寸的解析表达式。得到了复宗量双曲正弦高斯光束在自由空间传输时束腰宽度和位置的解析表达式以及M2因子的表达式。对光强分布、光斑尺寸、束腰宽度及其位置和M2因子进行了数值计算,并对计算结果作了分析。本文所得结果具有广泛的意义,因为正弦高斯光束、双曲正弦高斯光束和复宗量正弦高斯光束均可视为其特例。
The basic characteristics of elegant sinh-Gaussian （EshG） beams is studied, where the argument of the sinh part is complex number. Starting from the Collins formula, the closed-form propagation equation of EshG beams through a paraxial ABCD optical system is derived. Based on the second-order moment definition and the propagation equation of EshG beams, a general closed-form expression for the beam width of EshG beams passing through paraxial ABCD optical system is obtained. The beam waist width, the waist location in free-space propagation and the M2-factor of EshG beams are also deduced, Numerical calculations are made to illustrate the propagation properties of the EshG beams. The results show it is significant that sine-Gaussian beams, sinh-Gaussian beams and elegant sine-Gaussian beams can be regarded as the special cases of elegant sinh-Gaussian beams.
出处
《光电工程》
EI
CAS
CSCD
北大核心
2006年第2期45-49,共5页
Opto-Electronic Engineering
基金
四川省应用基础基金(02GY029-054)
西南交通大学校基础研究基金(2003B18)
