Application of generalized least squares method in the calibration of active optics mode

	Application of generalized least squares method in the calibration of active optics mode
	Lan, B.; X. Wu; H. Yang; Q. Jiang and Z. Zhang
	2017
发表期刊	Hongwai yu Jiguang Gongcheng/Infrared and Laser Engineering
卷号	46 期号:6
摘要	In order to relieve the coupling effect of 4 m lightweight mirror support system, a generalized least square method was proposed to calibrate active optics. Firstly, the support system of 4 m lightweight mirror was introduced, and the constraints needed to meet in hydraulic Whiffletree passive support system was deduced. Then the Zernike polynomial corrected by node area weighted factor was used to fit the mirror deformation, resulting to influence matrix between Zernike coefficients of mirror deformation and active forces. After that, a generalized least squares method was adopted to obtain the optimal correction forces which simultaneously satisfied the equality and inequality constraints. Finally, the proposed method was applied to the calculation of the optimal active forces to correct the mirror deformation caused by the gravity, and the influence of different damping factors on the calculation results were analyzed. Results show that the optimal correction effect is achieved when the damping factor is 7.4e-9, and the RMS of the mirror deformation is changed from the original 271.5 nm to 8.3 nm after correction, verifying the feasibility of the generalized least squares method to the calibration of the 4 m lightweight mirror active optics. 2017, Editorial Board of Journal of Infrared and Laser Engineering. All right reserved.
收录类别	ei
语种	中文
文献类型	期刊论文
条目标识符	http://ir.ciomp.ac.cn/handle/181722/58982
专题	中科院长春光机所知识产出
推荐引用方式 GB/T 7714	Lan, B.,X. Wu,H. Yang,et al. Application of generalized least squares method in the calibration of active optics mode[J]. Hongwai yu Jiguang Gongcheng/Infrared and Laser Engineering,2017,46(6).
APA	Lan, B.,X. Wu,H. Yang,&Q. Jiang and Z. Zhang.(2017).Application of generalized least squares method in the calibration of active optics mode.Hongwai yu Jiguang Gongcheng/Infrared and Laser Engineering,46(6).
MLA	Lan, B.,et al."Application of generalized least squares method in the calibration of active optics mode".Hongwai yu Jiguang Gongcheng/Infrared and Laser Engineering 46.6(2017).

条目包含的文件		下载所有文件
文件名称/大小	文献类型	版本类型	开放类型	使用许可
Application of gener（632KB）	期刊论文	作者接受稿	开放获取	CC BY-NC-SA	浏览下载