[1]宋俊儒,刘大礼,邢辉.环形高次非球面参数的测试[J].红外技术,2019,41(3):290-296.[doi:10.11846/j.issn.1001_8891.201903016]
 SONG Junru,LIU Dali,XING Hui.Measurement of Parameters of High-order Aspheric Ringy Surface[J].Infrared Technology,2019,41(3):290-296.[doi:10.11846/j.issn.1001_8891.201903016]
点击复制

环形高次非球面参数的测试
分享到:

《红外技术》[ISSN:1001-8891/CN:CN 53-1053/TN]

卷:
41卷
期数:
2019年第3期
页码:
290-296
栏目:
出版日期:
2019-03-20

文章信息/Info

Title:
Measurement of Parameters of High-order Aspheric Ringy Surface
文章编号:
1001-8891(2019)03-0290-07
作者:
宋俊儒刘大礼邢辉
北京空间机电研究所
Author(s):
SONG JunruLIU DaliXING Hui
Beijing Institute of Space Mechanics & Electricity
关键词:
环形高次非球面旋转母线矢高非球面系数
Keywords:
high-order ringy aspheric surfacegeneratrixarc heightaspheric parameters
分类号:
V447.3
DOI:
10.11846/j.issn.1001_8891.201903016
文献标志码:
A
摘要:
环形高次非球面在航天遥感器的光学系统中应用越来越广泛,为了精确测量其非球面参数和矢高,在探讨三坐标测量机非球面检测扫描路径的基础上,分析了测试数据与理论数据之间的内在数学关系,提出了一种基于坐标变换规范测试数据,通过空间数据转换将测试数据降维,数据处理由三维空间转换到二维平面,进而在平面内做多项式拟合求解非球面母线的检测方案。通过泰勒级数展开,对比分析了母线多项式拟合方程和标准非球面方程之间的系数对应关系,并对某高次非球面进行实物检测。检测结果表明矢高拟合精度达0.001 mm,非球面系数拟合精度达到与设计值数量级一致,检测方案合理可行,为类似高次非球面的检测提供了一条有效可行的检测途径。
Abstract:
In order to measure the asphricial parameters and arc hight, taken the lens distance measurement as goal, a method is presented in this article which can calculate the generatrix equation through polynomial fitting. Through discussing the scanning path of aspheric surface, analyzing the relationship between the measurement data and the theoretical data, normalizing the measurement data based on coordinate transform, the data processing is transferred from space into plane in which the generatrix is solved. The relationship between the parameters of the generatrix fitting equation and the standard equation is comparative analyzed. The mathematical expression of high-order aspheric parameters is derived. The testing result of an high-order aspheric surface indicated that the scheme is reasonable and feasible. The fitting precision of rise can reach 0.001 mm which meets the testing requirement.

参考文献/References:

[1]? 张曦, 胡春华, 陈五一. 二次曲面拟合与拟合参数不确定度分析[J]. 北京航空航天大学学报, 2006, 32(9): 1091-1095.
ZHANG Xi, HU Chunhua, CHEN Wuyi. Quadratic surface fitting and uncertainty analysis of fitting parameters[J]. Journal of Beijing University of Aeronautics and Astronautics. 2006, 32(9): 1091-1095.
[2]? 王建明. 三坐标轮廓测量仪检测非球面研究[D]. 苏州: 苏州大学, 2013.
WANG Jianming. Study on aspheric surface measurement using coordinate contour measuring machine[D]. Suzhou: Soochow university, 2013.
[3]? 万勇建, 范斌, 袁家虎. 大型非球面主镜细磨中的一种在线监测技术[J]. 光电工程, 2005, 32(1): 1-4.
WAN Yongjian, FAN Bin, YUAN Jiahu. An on-line measuring technique for lapping large asphericmirror[J]. Opto-Electronic Engineering, 2005, 32(1): 1-4.
[4]? HUANG Dagang, ZHANG Heng, LEE Shah Rong, et al. Shape measurement ofasheric plastic lens with large angle[J]. Chinese Optics Letters, 2005(9): 516-519.
[5]? 郭隐彪, 郭江, 王振忠. 非球面检测路径与高精度曲线拟合算法研究[J]. 中国机械工程, 2008, 19(10): 1201-1204.
GUO Yinbiao, GUO Jiang, WANG Zhenzhong. Study on Measuring Path and High-precision Curve Fitting Algorithm for Axisymmetric Optics[J]. China Mechanical Engineering, 2008, 19(10): 1201-1204.
[6]? 李春. 三坐标测量机的曲面匹配与测头半径修正[D]. 天津: 天津大学硕士学位论文, 2004.
LI Chun. The surface matching and the measuring head’s radius compensation of coordinate measuring machine[D]. Tianjin: Tianjin University, 2004.
[7]? 王银河, 阴晓俊, 姚春龙, 等. 反光镜测试中曲面数据采集及拟合[J]. 光学仪器, 2012, 34(3): 1-4.
WANG Yinhe, YIN Xiaojun, YAO Chunlong, et al. Study on curved surface acquisition and fitting in reflector test[J]. Optical Instruments, 2012, 34(3): 1-4.
[8]? 潘君骅. 光学非球面的设计、加工与检验[M]. 苏州: 苏州大学出版社, 2004: 1-5.
PAN Junhua. The Design, Manufacture and Test of the aspherical Optical Surface[M]. Suzhou: Suzhou University Press, 2004: 1-5.
[9]? 张军强, 董得义, 吴清文, 等. 光学遥感器镜面面形误差及刚体位移处理方法[J]. 仪器仪表学报, 2011, 32(6): 242-247.?
ZHANG Junqiang, DONG Deyi, WU Qingwen. Treatment of surface figure error and rigid body motion for mirror/lens in remote sensor[J]. Chinese Journal of Science Instrument, 2011, 32(6): 242-247.
[10]? 张星祥, 任建岳. 非球面镜检测误差的逆向求解法[J]. 航空精密制造技术, 2003, 39(6): 26-30.
ZHANG Xingxiang, REN Jianyue. Inver solution for measuring aspherical mirror error[J]. Aviation Precision Manufacturing Technology, 2003, 39(6): 26-30.
[11]? 郭玲玲, 张星祥, 张立国, 等. 离轴非球面镜检测中坐标系偏差对参数拟合的影响[J]. 红外与激光工程, 2013, 42(10): 2800-2804.
GUO Lingling, ZHANG Xingxiang, ZHANG Liguo. Influence of coordinate deviation on parameter fitting in testing off-axis ahpherics[J]. Infrared and Laser Engineering, 2013, 42(10): 2800-2804.
[12]? 黄大刚, 王宝光, 辛运帷. 从测量值计算非球面参数[J]. 纳米技术与精密工程, 2008, 6(3): 212-216.
HUANG Dagang, WANG Baoguang, XIN Yunzhui. Calculation of aspheric parameters from measuring values[J]. Nanotechnology and Precision Engineering, 2008, 6(3): 212-216.
[13]? 同济大学数学系. 高等数学(上)[M]. 北京: 高等教育出版社, 1996: 207-214.
Department of Mathematics of Tongji University. Higher Mathema- tics[M]. Beijing: Higher Education Press, 1996: 207-214.
[14]? Mayer J R R, Mir Y A. Trochu F, et al.. Touch probe radius compensation for coordinate measurement using kriging interpolation[C]//Proceedings of the Institution of Mechanical Engineers Part B Journal of Engineering Manufacture, 1997, 211(1): 11-18
[15]? 陈基伟. 工业测量数据拟合研究[D]. 上海: 同济大学土木工程学院, 2005.
CHEN Jiwei. Study on industrial measuring data fitting[D]. Shanghai: College of civil engineering, Tongji University, 2005.
[16]? 居余马. 线性代数[M]. 北京: 清华大学出版社, 2002.
JU Yuma. Linear Algebra[M]. Beijing: TsingHua University Press, 2002.

备注/Memo

备注/Memo:
收稿日期:2018-07-05;修订日期:2018-12-31.
作者简介:宋俊儒(1987-),男,工程师,主要从事光学遥感器的装调和测试方向的研究。E-mail:sjr1987bit@163.com

更新日期/Last Update: 2019-03-19