第23卷第10期 2015年10月
文章编号
1004-924X(2015)10-2785-09
光学精密工程
Optics and Precision Engineering
Vol.23No.10
Oct.2015
采用联合变换相关的透镜中心偏差测量
李春才1,2*，巩岩1
（1.中国科学院长春光学精密机械与物理研究所应用光学国家重点实验室，吉林长春130033：
2.中国科学院大学，北京100049）
摘要：基于双相位编码光学联合变换相关技术提出了一种测量透镜中心偏差的方法以确定偏差方向并提高测量精度。在经典联合变换相关原理基础之上，使用两个相位函数分别对参考图像和联合功率谱进行编码，并选用合适的滤波器消
的位移失量，并拟合圆。此拟合圆圆心到圆上点的失量即为经自准直光学系统放大后的偏心失量，从而同时确定了中心偏差的大小和方向。实验结果表明，通过双相位编码后的相关输出仅保留一个尖锐的相关峰，实现了位移失量的亚像元探测；使用联合变换相关技术准确地测量了透镜的中心偏差，其测量结果的实验标准差为0.1μm，误差绝对值最大为 0.3μm，满足一般透镜中心偏差测量的要求。
关键词：遗镜；光学装调；中心偏差测量；联合变换相关；双相位编码；位移探测
中图分类号：TH703;O435
文献标识码：A
doi:10.3788/OPE.20152310.2785
Measurementoflenscenteringerrorbasedonjointtransformcorrelator
LI Chun-cail.2·, GONGYan'
(l.StateKeyLaboratoryofAppliedOptics,ChangchunInstituteof Optics,
FineMechanicsandPhysics,ChineseAcademyof SciencesChangchun130033,China
2.Universityof ChineseAcademy of Sciences,Beijing 100049,China)
*Correspondingauthor，E-mail：leeccaisina.com
Abstract: A measurement method for the lens centering error based on double phase-encoding optical Joint Transform Correlator(JTC) was proposed for improving the measuring accuracy and determining the orientation of the centering error. On the basis of the principle of traditional JTC, two phase func-tions were utilized to code the reference image and the joint power spectrum, and proper filters were chosen to eliminate the effect of the sidelobe and to obtain an output with one cross-correlation peak. Then, this JTC technique after double phase-encoding was used to detect the displacement vectors be tween target images and reference image and to fit a circle using the displacement vectors. The vector between the center of the fitting circle and a certain point on the fitting circle is the magnified center-ing vector of corresponding angle, which means that the size and orientation of the centering error have been determined simultaneously. The experimental results show that the outputs keep only one
收稿日期：2015-02-04；修订日期：2015-03-27
基金项目：中国与白俄罗斯国际科技合作资助项目（No.2011DFR10010）