基于等效节点理论确定光轴方法的研究  

Research on the Method of Determining the Optical Axis Based on Equivalent Nodal Point Theory

作　　者：刘智颖[1] 贾桂园 秦天翔 黄蕴涵 张涵 LIU Zhiying;JIA Guiyuan;QIN Tianxiang;HUANG Yunhan;ZHANG Han(Monitoring and Analysis Center,Changchun University of Science and Technology,Changchun 130022,China)

机构地区：[1]长春理工大学测试分析中心,长春130022

出　　处：《光子学报》2021年第9期36-45,共10页Acta Photonica Sinica

基　　金：国家自然科学基金项目(Nos.61805025,61705018);吉林省科学技术发展项目(No.20200401055GX)。

摘　　要：针对目前高精度光学系统光轴标定存在的误差问题,提出了一种基于等效节点理论对系统实际光轴进行标定的方法,通过建立基准坐标系、节点坐标系和探测器坐标系,结合齐次坐标变换的方法构建适用于实际系统光轴标定的数学模型。以焦距为100 mm,物方节点与像方节点之间的距离为20 mm的光学系统为例,基于小旋量理论对其光轴精度影响因素进行了分析与计算,结果表明平行光管、转台、与标定模型三方面引入的标定误差低于10''。为不同的光学系统基于等效节点理论进行光轴标定时的精度分析提供了方法与依据。Aiming at the current error problems in the calibration of the optical axis of the high-precision optical system,a method based on the equivalent nodal point theory to calibrate the actual optical axis of the system is proposed.By establishing reference coordinate system,the nodal point coordinate systems and the detector coordinate systems,and combining with homgenours coordinate transformation method,a mathematical model suitable for the optical axis calibration of an actual system is established.The optical system with a 100 mm focal length and a 20 mm distance of optical nodal points is taken as an example to analyze the factors that affect the calibration accuracy,and the result show that the calibration calculation error introduced by collimators,rotary table,and calibration model is less than 10''.It provides a method and reference for the accuracy analysis of optical axis calibration for different optical systems based on the equivalent nodal point theory.

关 键 词：光学系统 光轴标定 等效节点 齐次坐标变换 精度分析 

分 类 号：O439[机械工程—光学工程]