基于AR模型搜索迭代算法的望远镜跟踪误差分析

廖宏宇; 马晓燠; 郭友明; 饶长辉; 魏凯

doi:10.7498/aps.63.179501

摘要

在大口径光学望远镜观测星体目标时，其跟踪误差主要由风载引起的望远镜跟踪抖动误差和大气湍流引起的跟踪误差组成. 建立了望远镜跟踪误差的简化分析模型，提出了一种采用AR模型迭代算法将风载引起的望远镜跟踪抖动误差和大气湍流引起的跟踪误差分离的新方法，并在1.8 m望远镜上进行了实验验证. 结果表明，风载引起的望远镜跟踪抖动误差与风向和风速直接相关，实验结果与理论分析比较符合.

关键词:

风载 /
AR模型 /
望远镜 /
跟踪误差

The tracking errors of large-caliber optical telescope in the process of observing astral target consists of telescope tracking jitter error which is mainly caused by wind-load, and wave-front tilt error caused by atmospheric turbulence. A simplified model concerning telescope tracking error is established, and a new kind of algorithm based on AR model to separate the telescope tracking jitter error from the tracking error caused by atmospheric turbulence is proposed. Finally, an experiment is conducted on the platform of the 1.8 M telescope in Gaomeigu Observing Station to test this algorithm. Experimental results show that the telescope tracking jitter error caused by wind-load is directly related to the direction and speed of the wind, which conforms to the theoretical analysis.

Keywords:

作者及机构信息

1.
中国科学院光电技术研究所, 成都 610029;

2.
中国科学院自适应光学重点实验室, 成都 610029;

3.
中国科学院大学, 北京 100039

基金项目: 国家自然科学基金（批准号：11178004）资助的课题.

Authors and contacts

1.
Institute of Optics and Electronics, Chinese Academy of Sciences, Chengdu 610029, China;

2.
Key Lab of Adaptive Optics, Chinese Academy of Sciences, Chengdu 610029, China;

3.
Graduate School, Chinese Academy of Sciences, Beijing 100039, China

Funds: Project supported by the National Natural Science Foundation of China(Grant No. 11178004).

参考文献

[1]	Bian Y L 2008 Physics 37 844 (in Chinese)[卞毓麟 2008 物理 37 844]
[2]	Zhou C 2011 Ph. D. Dissertation (Changchun: Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences) (in Chinese)[周超 2011 博士学位论文 (中科院长春光学精密机械与物理研究所)]
[3]
[4]	Li Z, Song T F, Xu J 2012 Astronomical Research and Technology 9 1189 (in Chinese)[李志, 宋腾飞, 许俊 2012 天文研究与技术 9 1189]
[5]
[6]	Liu G Q, Cheng X M, Song T F, Zhao X J 2011 Opto-Electronic Engineering 38 50 (in Chinese)[柳光乾, 程向明, 宋腾飞, 赵雪娟 2011 光电工程 38 50]
[7]
[8]
[9]	Lisa A Poyneer, Jean-Pierre Veran 2010 J. Opt. Soc. Am. A 27 A223
[10]
[11]	Caroline Kulcsar, Paolo Massinoi, Gaetano Sivo, Henri-Francois Raynaud 2012 Proc. of SPIE 8447 84470Z
[12]
[13]	Serge Meimon, Cyril Petit, Thierry Fusco, Caroline Kulcsar 2010 J. Opt. Soc. Am. A 27 A122
[14]	Andres Guesalaga, Bennoit Neichel, Francois Rigaut, James Osborn, Dani Guzman 2012 Applied Optics 51 4520
[15]
[16]	Carlos Correia, Jean-Pierre Veran, Glen Herriot 2012 J. Opt. Soc. Am. A 29 185
[17]
[18]	Shack R V, Thompson K 1980 SPIE 251 149
[19]
[20]
[21]	Porro I L, Traub W A, Carleton N P 1999 Applied Optics 38 6055
[22]
[23]	Liu Y Z, Chen W L, Chen L Q 1998 Mechanic of Vibrations (Beijng: HIGHER EDUCATION PRESS) p130 (inChinese)[刘延柱, 陈文良, 陈立群1998振动力学(北京: 高等教育出版社)第130页]
[24]
[25]	Caroline Kulcsar, Gaetano Sivo, Henri Francois Raynaud, Benoit Neichel, Francois Rigaut, Julian Christou, Andres Guesalaga, Carlos Correia, Jean-Pierre vVeran, Eric Gendron, Fabric Vidal, Gerard Rousset, Tim Morris, Simone Esposito, Fernando Quiros-Pacheco, Guido Agapito, Enrico Fedrigo, Lorenzo Pettazzi, Richard Clare, Riccardo Muradore, Olivier Guyon, Fantz Martinache, Serge Meimon, Jean-Marc Conan 2012 Proc. of SPIE 8447 84471C
[26]
[27]	Douglas g. Macmynowski, Torben Andersen 2010 Applied Optics 49 625
[28]
[29]	Douglas G. Macmynowski, Konstantinos Vogiatzis, George Z. Angeli, Joeleff Fitzsimmons, Jerry E. Nelson 2006 Applied Optics 45 7912
[30]	Rao C H 2000 Ph. D. Dissertation (Chengdu: The Institute of Optics and Electronics of Chinese Academy of Sciences) (in Chinese)[饶长辉 2000 博士学位论文 (中国科学院光电技术研究所)]
[31]
[32]
[33]	Rao C H, Jiang W H 1996 Acta Astrophysica Sinica 16 428 (in Chinese)[饶长辉, 姜文汉 1996 天体物理学报 16 428]
[34]
[35]	Rao C H, Shen F, Jiang W H 2000 Acta Photonica Sinica 20 68 (in Chinese)[饶长辉, 沈锋, 姜文汉 2000 光学学报 20 68]
[36]
[37]	Guo Y M, Ma X Y, Rao C H 2013 Acta Phys. Sin. 62 134207 (in Chinese)[郭友明, 马晓燠, 饶长辉 2013 物理学报 62 134207]
[38]	Wang Z Q, Zhong M C, Zhou J H, Li Y M 2013 Acta Phys. Sin. 62 188701
[39]
[40]	Ou Y Y H, Yuan P, Jia X D, Wang X Y, Xue S M 2013 Acta Phys. Sin. 62 084303 (in Chinese)[欧阳玉花, 袁萍, 贾向东, 王小云, 薛思敏 2013 物理学报 62 084303]
[41]
[42]
[43]	Chen W, Yao H M, Wu F, Fan B, Wu S B, Chen Q 2005 Acta Photonica Sinica 35 130 (in Chinese)[陈伟, 姚汉民, 伍凡, 范斌, 吴时彬, 陈强 2005 光子学报 35 130]
[44]
[45]	Rao C H, Jiang W H, Zhang Y D, Ling L, Zhang X J, Xian H, Wei K, Liao Z, Zhou L C, Guan C L, Li M, Chen D H, Zhang A 2008 Proc. of SPIE 7015 70155Y-1
[46]	Rao C H, Wei K, Zhang X J, Zhang A, Zhang Y D, Xian H, Zhou L C, Guan C L, Li M, Chen D H, Chen S Q, Tian Y, Liao Z 2010 Proc. of SPIE 7654 76541H-1
[47]

施引文献

[1]	Bian Y L 2008 Physics 37 844 (in Chinese)[卞毓麟 2008 物理 37 844]
[2]	Zhou C 2011 Ph. D. Dissertation (Changchun: Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences) (in Chinese)[周超 2011 博士学位论文 (中科院长春光学精密机械与物理研究所)]
[3]
[4]	Li Z, Song T F, Xu J 2012 Astronomical Research and Technology 9 1189 (in Chinese)[李志, 宋腾飞, 许俊 2012 天文研究与技术 9 1189]
[5]
[6]	Liu G Q, Cheng X M, Song T F, Zhao X J 2011 Opto-Electronic Engineering 38 50 (in Chinese)[柳光乾, 程向明, 宋腾飞, 赵雪娟 2011 光电工程 38 50]
[7]
[8]
[9]	Lisa A Poyneer, Jean-Pierre Veran 2010 J. Opt. Soc. Am. A 27 A223
[10]
[11]	Caroline Kulcsar, Paolo Massinoi, Gaetano Sivo, Henri-Francois Raynaud 2012 Proc. of SPIE 8447 84470Z
[12]
[13]	Serge Meimon, Cyril Petit, Thierry Fusco, Caroline Kulcsar 2010 J. Opt. Soc. Am. A 27 A122
[14]	Andres Guesalaga, Bennoit Neichel, Francois Rigaut, James Osborn, Dani Guzman 2012 Applied Optics 51 4520
[15]
[16]	Carlos Correia, Jean-Pierre Veran, Glen Herriot 2012 J. Opt. Soc. Am. A 29 185
[17]
[18]	Shack R V, Thompson K 1980 SPIE 251 149
[19]
[20]
[21]	Porro I L, Traub W A, Carleton N P 1999 Applied Optics 38 6055
[22]
[23]	Liu Y Z, Chen W L, Chen L Q 1998 Mechanic of Vibrations (Beijng: HIGHER EDUCATION PRESS) p130 (inChinese)[刘延柱, 陈文良, 陈立群1998振动力学(北京: 高等教育出版社)第130页]
[24]
[25]	Caroline Kulcsar, Gaetano Sivo, Henri Francois Raynaud, Benoit Neichel, Francois Rigaut, Julian Christou, Andres Guesalaga, Carlos Correia, Jean-Pierre vVeran, Eric Gendron, Fabric Vidal, Gerard Rousset, Tim Morris, Simone Esposito, Fernando Quiros-Pacheco, Guido Agapito, Enrico Fedrigo, Lorenzo Pettazzi, Richard Clare, Riccardo Muradore, Olivier Guyon, Fantz Martinache, Serge Meimon, Jean-Marc Conan 2012 Proc. of SPIE 8447 84471C
[26]
[27]	Douglas g. Macmynowski, Torben Andersen 2010 Applied Optics 49 625
[28]
[29]	Douglas G. Macmynowski, Konstantinos Vogiatzis, George Z. Angeli, Joeleff Fitzsimmons, Jerry E. Nelson 2006 Applied Optics 45 7912
[30]	Rao C H 2000 Ph. D. Dissertation (Chengdu: The Institute of Optics and Electronics of Chinese Academy of Sciences) (in Chinese)[饶长辉 2000 博士学位论文 (中国科学院光电技术研究所)]
[31]
[32]
[33]	Rao C H, Jiang W H 1996 Acta Astrophysica Sinica 16 428 (in Chinese)[饶长辉, 姜文汉 1996 天体物理学报 16 428]
[34]
[35]	Rao C H, Shen F, Jiang W H 2000 Acta Photonica Sinica 20 68 (in Chinese)[饶长辉, 沈锋, 姜文汉 2000 光学学报 20 68]
[36]
[37]	Guo Y M, Ma X Y, Rao C H 2013 Acta Phys. Sin. 62 134207 (in Chinese)[郭友明, 马晓燠, 饶长辉 2013 物理学报 62 134207]
[38]	Wang Z Q, Zhong M C, Zhou J H, Li Y M 2013 Acta Phys. Sin. 62 188701
[39]
[40]	Ou Y Y H, Yuan P, Jia X D, Wang X Y, Xue S M 2013 Acta Phys. Sin. 62 084303 (in Chinese)[欧阳玉花, 袁萍, 贾向东, 王小云, 薛思敏 2013 物理学报 62 084303]
[41]
[42]
[43]	Chen W, Yao H M, Wu F, Fan B, Wu S B, Chen Q 2005 Acta Photonica Sinica 35 130 (in Chinese)[陈伟, 姚汉民, 伍凡, 范斌, 吴时彬, 陈强 2005 光子学报 35 130]
[44]
[45]	Rao C H, Jiang W H, Zhang Y D, Ling L, Zhang X J, Xian H, Wei K, Liao Z, Zhou L C, Guan C L, Li M, Chen D H, Zhang A 2008 Proc. of SPIE 7015 70155Y-1
[46]	Rao C H, Wei K, Zhang X J, Zhang A, Zhang Y D, Xian H, Zhou L C, Guan C L, Li M, Chen D H, Chen S Q, Tian Y, Liao Z 2010 Proc. of SPIE 7654 76541H-1
[47]

[1]	强鹏飞, 盛立志, 李林森, 闫永清, 刘哲, 周晓红. X射线聚焦望远镜光学设计. 物理学报, 2019, 68(16): 160702. doi: 10.7498/aps.68.20190709
[2]	董磊, 卢振武, 刘欣悦, 李正炜. 三种降采样成像策略的性能优化以及与传统傅里叶望远镜的比较. 物理学报, 2019, 68(7): 074203. doi: 10.7498/aps.68.20181801
[3]	钱鸿鹄, 孟炳寰, 袁银麟, 洪津, 张苗苗, 李双, 裘桢炜. 星载多角度偏振成像仪非偏通道全视场偏振效应测量及误差分析. 物理学报, 2017, 66(10): 100701. doi: 10.7498/aps.66.100701
[4]	朱玥, 张子良, 杨彦佶, 薛荣峰, 崔苇苇, 陆波, 王娟, 陈田祥, 王于仨, 李炜, 韩大炜, 霍嘉, 胡渭, 李茂顺, 张艺, 祝宇轩, 刘苗, 赵晓帆, 陈勇. 硬X射线调制望远镜低能探测器量子效率标定. 物理学报, 2017, 66(11): 112901. doi: 10.7498/aps.66.112901
[5]	张羽, 罗秀娟, 曹蓓, 陈明徕, 刘辉, 夏爱利, 兰富洋. 傅里叶望远镜发射阵列的冗余度及冗余度-斯特列尔比-目标信息特性分析. 物理学报, 2016, 65(11): 114201. doi: 10.7498/aps.65.114201
[6]	颜召军, 陈欣扬, 郑立新, 丁媛媛, 朱能鸿. 基于色散干涉图像的拼接望远镜共相零位标定方法研究. 物理学报, 2016, 65(19): 199501. doi: 10.7498/aps.65.199501
[7]	高文, 汤洋, 朱明. 目标跟踪中目标模型更新问题的半监督学习算法研究. 物理学报, 2015, 64(1): 014205. doi: 10.7498/aps.64.014205
[8]	于树海, 董磊, 刘欣悦, 凌剑勇. 傅里叶望远镜重构图像虚像分析. 物理学报, 2015, 64(18): 184205. doi: 10.7498/aps.64.184205
[9]	颜召军, 陈欣扬, 杨朋千, 周丹, 郑立新, 朱能鸿. 基于光栅色散干涉条纹的菲佐光干涉望远镜共相检测方法研究. 物理学报, 2015, 64(14): 149501. doi: 10.7498/aps.64.149501
[10]	杨锦辉, 宋君强. 混沌系统模型误差平均绝对误差增长过程研究. 物理学报, 2012, 61(22): 220510. doi: 10.7498/aps.61.220510
[11]	马晓燠, 郭友明, 饶长辉, 魏凯, 田雨, 饶学军. 多阳极PMT的串扰对四象限倾斜跟踪传感器跟踪精度的影响. 物理学报, 2012, 61(24): 242902. doi: 10.7498/aps.61.242902
[12]	刘宁, 张淳民, 王金婵, 穆廷魁. 新型静态偏振风成像干涉仪理论探测误差的分析与计算. 物理学报, 2010, 59(6): 4369-4379. doi: 10.7498/aps.59.4369
[13]	赵研英, 韩海年, 滕浩, 魏志义. 采用多通腔望远镜谐振腔结构的10MHz重复频率飞秒钛宝石激光器特性研究. 物理学报, 2009, 58(3): 1709-1714. doi: 10.7498/aps.58.1709
[14]	叶剑勇, 张淳民, 赵葆常, 李英才. 高层大气风场四强度测量法误差分析与计算. 物理学报, 2008, 57(1): 67-73. doi: 10.7498/aps.57.67
[15]	赵保银, 吕百达. 使用离焦望远镜系统合成轴上平顶光束的一种新方法. 物理学报, 2008, 57(5): 2919-2924. doi: 10.7498/aps.57.2919
[16]	韩英魁, 王清月, 张志刚, 张伟力, 柴路, 袁晓东, 黄小军. 飞秒啁啾脉冲放大系统中折叠反射式望远镜对脉冲波前的影响. 物理学报, 2005, 54(4): 1613-1618. doi: 10.7498/aps.54.1613
[17]	窦春霞, 张淑清. 基于观测器的模型不确定的耦合时空混沌H∞跟踪控制. 物理学报, 2004, 53(12): 4120-4125. doi: 10.7498/aps.53.4120
[18]	徐光, 钱列加, 王韬, 朱鹤元, 范滇元. 用于超短脉冲扩展的时间望远镜. 物理学报, 2004, 53(1): 93-98. doi: 10.7498/aps.53.93
[19]	秦克诚. 斑纹噪声相乘模型的误差. 物理学报, 1983, 32(2): 267-272. doi: 10.7498/aps.32.267
[20]	《解放军报》. 毛泽东思想是我们革命事业的望远镜和显微镜. 物理学报, 1966, 22(8): 855-858. doi: 10.7498/aps.22.855

计量

文章访问数: 6125
PDF下载量: 472
被引次数: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

搜索

留言板