摘要
洛伦兹-高斯光束是用于描述某些发散程度较大的激光光源而引入的,在源平面上的q参数趋向于无穷的条件下,洛伦兹-高斯光束退化为洛伦兹光束。基于柯林斯积分公式,导出了洛伦兹-高斯光束经傍轴abcd光学系统的解析传输公式,进行了相关的数值计算以揭示其傍轴传输特性。基于矢量瑞利-索末菲衍射积分公式,导出了矢量洛伦兹-高斯光束非傍轴条件下的解析传输公式,进行了相应的数值计算;作为一般公式的特例,给出了相应的远场表达式和傍轴结果。
Lorentz-Gauss beams have been introduced to describe some certain laser sources with high divergence. When the q parameter at the source plane tends to infinity, Lorentz-Gauss beams reduce to be Lorentz beams. Based on the Collins integral formula, an analytical propagation formula of a Lorentz-Gauss beam passing through a paraxial abcd optical system is derived. Within the paraxial framework, the propagation properties of Lorentz-Gauss beam are illustrated with numerical examples. Based on the vectorial Rayleigh-Sommerfeld integral formulae, the analytical propagation equation of a nonparaxial Lorentz-Gauss beam in free space is presented, and the corresponding numerical examples are also given. Moreover, the far field expression and the scalar paraxial result are dealt with as special cases of the general formulae.
出处
《中国激光》
EI
CAS
CSCD
北大核心
2009年第9期2326-2331,共6页
Chinese Journal of Lasers
基金
浙江省教育厅中青年学科带头人资助项目
