会聚波面光场的衍射特性  

Diffraction Characteristic of Light Field with Converging Wave Front

作　　者：郭福源 李连煌 郑华 Guo Fuyuan;Li Lianhuang;Zheng Hua(Key Laboratory of Optoelectronic Science and Technology for Medicine of Ministry of Education,Fujian Provincial Key Laboratory of Photonics Technology,Institute of Laser&Optoelectronics Technology,College of Photonic and Electronic Engineering,Fujian Normal University,Fuzhou,Fujian 350007,China)

机构地区：[1]福建师范大学光电与信息工程学院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：《光学学报》2021年第5期186-191,共6页Acta Optica Sinica

基　　金：中央引导地方科技发展专项(2020L3008);福建省自然科学基金(2019J01269,2018J01301)。

摘　　要：以能量守恒定律为基础分析一种会聚光场的衍射积分公式,推导出以一个衍射源参考波面为半球面的衍射积分公式的倾斜因子,给出一个计算焦平面上光场分布的表达式,并以虚拟矢量子波干涉解释会聚光场的衍射过程。根据满足正弦条件的聚焦物镜对光波波面的变换特性,给出平坦波面光场经过物镜聚焦后的焦面光场计算表达式,并以简单直角坐标偏振和简单柱面坐标偏振的拉盖尔-高斯光束聚焦特性为例说明该公式的应用。On the basis of the law of energy conservation,we analyzed a diffraction integral formula for the converging light field,derived an inclination factor of the diffraction integral formula for a semi-spherical reference wave front of the diffraction source,and suggested a formula for calculating the light field distribution on the focal plane.In addition,we explained the diffraction process of the converging light field by the interference process of suppositional vector wavelets.Then,according to the wave front transformation properties of focusing objective lens satisfying the sine condition,a calculation formula for the light field in focal plane which focuses from a planar wave front by the focusing objective lens was proposed.Finally,the applications of the above formulas were discussed through the focusing characteristics of the Laguerre-Gaussian beams with simple rectangular coordinate polarization and simple cylindrical coordinate polarization.

关 键 词：物理光学 衍射理论 倾斜因子 能量守恒定律 聚焦 

分 类 号：O436.1[机械工程—光学工程]