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Theoretical research on parameter calculation and error analysis of Hindle auxiliary sphere method for testing convex hyperboloid mirror
Jiao XJ(焦晓洁); Jiang ZB(姜自波)
2021-11
Conference NameAPPLIED OPTICS AND PHOTONICS CHINA 2021
Source PublicationSPIE Novel Technologies and Instruments for Astronomical Multi-Band Observations
Volume12069
Conference Date2021-7(23-25)
Conference PlaceBeijing, China
Abstract

In this article, the measurement method of convex hyperboloid using Hindle sphere is further studied. Firstly, the  precise analytical formulas for solving radius of curvature, the diameters of outer edge and inner hole of Hindle sphere mirror are developed. The formula can be degenerated to the common approximate formula under certain conditions. In addition, the semi exact analytical formulas for solving the parameters of auxiliary Hindle sphere mirror are derived under some conditions, and the approximate formula is further extended to other occasions of aspheric mirror test, and a feasible stitching detection scheme for the secondary mirror of the CFGT (China Future Giant Telescope) is given. Then, based on the aberration theory, using Hindle auxiliary sphere, the relationships and formulas of the measurement error of vertex radius of curvature of convex hyperboloid mirror caused by the adjustment of interferometer position, the mirrors spacing, and machining error of radius of curvature of the Hindle sphere mirror are obtained, and the Zemax optical software is used for simulation verification. 
 

Keywordapplied optics Hindle test error analysis Hindle auxiliary sphere convex hyperboloid mirror stitching detection
Subject Area天文技术与方法
Language英语
Document Type会议论文
Identifierhttp://ir.niaot.ac.cn/handle/114a32/1944
Collection中国科学院南京天文光学技术研究所_会议论文
大口径光学技术研究室_会议论文
Affiliation南京天文光学技术研究所
Recommended Citation
GB/T 7714
Jiao XJ,Jiang ZB. Theoretical research on parameter calculation and error analysis of Hindle auxiliary sphere method for testing convex hyperboloid mirror[C],2021.
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