第20卷第11期 2012年11月
文章编号
1004-924X(2012)11-2353-07
光学精密工程
Optics and Precision Engineering
Vol. 20No.11
Nov.2012
基于高斯光学齐次坐标变换的光机装调
胡春晖1,2，颜昌翔1
（1.中国科学院长春光学精密机械与物理研究所，吉林长春130033；
2.中国科学院大学，北京100039）
摘要：高性能光学系统装调的调整量与光机结构设计相关，而装调所用参考坐标系往往与光学设计所用的坐标系不同。为了精确描述调整量对高斯像位置的影响，本文在基准坐标系下建立了引人装调误差量的高斯光学齐次垒标变换模型。针对具体的光机结构，建立了高斯像像旋和离焦对调整变量的函数，据此计算小的结构变化导致的高轴三反望远物镜高斯像面的移动，结果显示其与光学设计软件对最佳像面位置优化结果的相对差小于4%。利用方差合成方法建立线性规划模型，对17个装调变量做了最宽松的误差分配方案。用MonteCarlo法验证了分配方案，结果表明，该方案在士300 um调焦能力下满足各视场士10um的焦深要求，本文的方法忽略了复杂、微小像差的影响，适用于含多个已做内部精装的光学组件或平面反射镜的复杂成像光学系统的装调。
关键词：儿何光学；最优化装调；高斯光学；主标变换；误差分配
中图分类号：TH703：TH743
文献标识码：A
doi;10.3788/OPE.20122011.2353
Optical-mechanicalassemblybasedonGaussianoptical
homogeneouscoordinatetransformation
HU Chun-hui**, YAN Chang-xiang'
(l.Changchun Institute of Optics,Fine Mechanics and Physics, ChineseAcademy of Sciences,Changchun130033,China;
2.UniversityofChineseAcademyofSciencesBeijing100039,China)
Correspondingauthor,E-mail;yancr@ciomp.ac.cn
Abstract: The assembly variables of a high performance optical system are dependent on the design of optical and mechanical structure, however, the reference coordinates used in the system assembly are mostly different from those used in optical design. To describe paraxial image motions due to adjust-ments precisely, the Gaussian optical homogeneous coordinate transformation model with assembly er ror variables was established under a reference coordinate. According to specified optical-mechanical design, the Gaussian image rotation and defocus as functions of assembly variables were described. Then, the paraxial image motion induced by small deformation of a three-mirror off-axis telescope was calculated, which shows a relative difference less than 4% compared with that from the optical soft ware optimized image location, By the variance combining method, a linear optimization model was
收稿日期：2012-03-26；修订日期：2012-05-15.
基金项目：国防预研基金资助项目（NoO5001SA050）