简单柱面坐标偏振光束的传输特性  

Propagation Characteristics of Simple Cylindrical Polarized Beam

作　　者：郭福源[1] 李连煌[1] 郑华[1] 张振[1] 林晓明[1] 

机构地区：[1]福建师范大学激光与光电子技术研究所,光子技术福建省重点实验室,医学光电科学与技术教育部重点实验室,福建福州350007

出　　处：《中国激光》2013年第8期12-17,共6页Chinese Journal of Lasers

基　　金：福建省教育厅重点项目(JA10062,JK2012007)

摘　　要：根据径向电场分量与角向电场分量所满足的二阶微分方程分析简单柱面坐标偏振光束本征模场的特性。根据坐标变换公式将瑞利-索末菲标量衍射积分公式转化为简单柱面坐标偏振光束衍射远场径向电场分量与角向电场分量的计算公式。根据衍射源电场振幅分布与空间频谱分布的关系,给出简单柱面坐标偏振光束微分算子衍射源光斑半径和径向空间频率半径的计算公式,它可用于计算简单柱面坐标偏振光束的光束传输因子。并以计算LG10模柱面坐标偏振拉盖尔-高斯光束的光束参量为例说明了该公式的实用性。Based on the second order differential equation which describes the radial and azimuthal electric field components, the characteristics of eigen mode field of simple cylindrical polarized beam are analyzed. According to the formulae of coordinate transformation, the Rayleigh-Sommerfeld scalar diffraction integral formula is converted into a calculation formula for the radial and azimuthal electric field components of far field diffraction of the simple cylindrical polarized beam. As the relationship between the spatial frequency spectrum and electric field distribution of the diffraction source is employed, a calculation formula for the spot radius and spatial frequency radius by the differential operator method is suggested. It can be used to calculate the beam propagation factor of the cylindrical polarized beam. Then, the practical applicability of the above formulae is clearly shown through the beam parameters calculation of the LG10 mode cylindrical polarized Laguerre-Gaussian beam.

关 键 词：衍射 简单柱坐标偏振光束 光束传输因子 远场 一阶汉克尔变换 拉盖尔-高斯光束 

分 类 号：TN012[电子电信—物理电子学] O436.1[机械工程—光学工程]