离轴三反系统中视轴的偏转误差研究
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摘要
考虑到离轴三反系统内部结构和光路的复杂性,直接分析离轴三反系统内部各反射镜的偏转误差对视轴的影响难度较大。因此,提出一种将离轴三反系统模型简化为单反射系统模型来进行分析的方法,并在该模型的基础上建立离轴三反系统视轴偏转误差的计算公式。最后,利用Zemax软件创建离轴三反系统模型,通过变动反射镜位置来模拟系统视轴的变化,并得到成像点的坐标,再将得到的像点坐标代入计算公式求解出系统视轴的转动量。通过结果对比,求解出视轴的转动量相对于仿真的最大误差不超过4%,验证了基于单反射模型建立的理论分析方法的正确性。
Considering the complexity of internal structure and optical path of the off-axis three-mirror system, it is difficult to directly analyze the effect of deflection error of each mirror inside the off-axis three-mirror system on the line-of-sight. Therefore, a method of simplifying the off-axis three-mirror system model was presented to a single-mirror system model for analysis. Then, based on the model of single reflection system, the formula of the deflection error of the off-axis three-reaction was derived.Finally, the model of off-axis three-mirror system was created by Zemax software, the change of the line-of-sight of the system was simulated by adjusting the position of the mirror and the coordinates of imaging can be obtained, then the deflection value of the system ′ s line-of-sight was solved by substituting the image coordinates into the calculation formula. From comparing the results, the maximum error of the deflection of the line-of-sight relative to the deflection of the line-of-sight in the simulation is not more than 4%, which verifies the correctness of the theoretical analysis based on the single reflection model.
Considering the complexity of internal structure and optical path of the off-axis three-mirror system, it is difficult to directly analyze the effect of deflection error of each mirror inside the off-axis three-mirror system on the line-of-sight. Therefore, a method of simplifying the off-axis three-mirror system model was presented to a single-mirror system model for analysis. Then, based on the model of single reflection system, the formula of the deflection error of the off-axis three-reaction was derived.Finally, the model of off-axis three-mirror system was created by Zemax software, the change of the line-of-sight of the system was simulated by adjusting the position of the mirror and the coordinates of imaging can be obtained, then the deflection value of the system ′ s line-of-sight was solved by substituting the image coordinates into the calculation formula. From comparing the results, the maximum error of the deflection of the line-of-sight relative to the deflection of the line-of-sight in the simulation is not more than 4%, which verifies the correctness of the theoretical analysis based on the single reflection model.
引文
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[2]Li Haixing,Hui Shouwen,Ding Yalin.Development and key techniques of optical mapping equipment in foreign airborne[J].Electronic Measurement and Instrumentation,2014,28(5):469-477.李海星,惠守文,丁亚林.国外航空光学测装备发展及关键技术[J].电子测量与仪器学报,2014,28(5):469-477.
[3]Howard J M,Stone B D.Imaging with three spherical mirrors[J].Applied Optics,2000,39(19):3216-3231.
[4]Ding Xuezhuan,Wang Xin,Lan Weihua,et al.Design of four-mirror reflective anastigmati optic system[J].Infrared and Laser Engineering,2008,37(2):319-321.(in Chinese)丁学专,王欣,兰卫华,等.离轴四反射镜光学系统设计[J].红外与激光工程,2008,37(2):319-321.
[5]Xue Qingsheng.Design of wide field of view off-axis threemirror systems for hyperspectral imager[J].Infrared and Laser Engineering,2012,41(4):942-946.(in Chinese)薛庆生.用于高光谱成像仪的大视场离轴三反系统设计[J].红外与激光工程,2012,41(4):942-946.
[6]Hu Chunhui.Study on the effect of position error of optical element in aerospace high spectrum[D].Beijing:University of Chinese Academy of Sciences,2013.(in Chinese)胡春晖.航天高光谱仪光学元件位置误差影响研究[D].北京:中国科学院大学,2013.
[7]Pang Zhihai,Fan Xuewu,Ren Guorui,et al.Research on aberration characteristics of off-axis reflective optical system[J].Infrared and Laser Engineering,2016,45(6):263-267.(in Chinese)庞志海,樊学武,任国瑞,等.离轴反射光学系统像差特性研究[J].红外与激光工程,2016,45(6):263-267.
[8]Gong Dun,Tian Tieyin,Wang Hong.Computer-aided alignment of off axis three-mirrors using Zernike coefficients[J].Optical and Precision Engineering,2010,18(8):1754-1759.(in Chinese)巩盾,田铁印,王红.利用Zernike系数对离轴三反射系统进行计算机辅助装调[J].光学精密工程,2010,18(8):1754-1759.
[9]Wang Bin,Wu Fan,Ye Yutang.Off-axis three-system computer-aided alignment[J].Infrared and Laser Engineering,2016,45(11):1118006.(in Chinese)王彬,伍凡,叶玉堂.离轴三反系统计算机辅助装调[J].红外与激光工程,2016,45(11):1118006.
[10]Zhang Dongge,Fu Yutian.Surrogate model used for computer aided alignment[J].Infrared and Laser Engineering,2013,42(3):680-685.(in Chinese)张东阁,傅雨田.计算机辅助装调的代理模型方法[J].红外与激光工程,2013,42(3):680-685.
[11]Wu Guodong.Calibration of distortion for three-mirror offaxis[J].Optical and Precision Engineering,2008,16(11):2127-2131.(in Chinese)吴国栋.离轴三反光学镜头像面畸变的标定方法[J].光学精密工程,2008,16(11):2127-2131.