Research on mirror surface shape of space camera fitting based on SVD | |
Huang, Tuo1,2; Chen, Rong-Li1; Chu, Chang-Bo1 | |
2019 | |
会议名称 | Applied Optics and Photonics China 2019: Space Optics, Telescopes, and Instrumentation, AOPC 2019 |
会议录名称 | AOPC 2019: Space Optics, Telescopes, and Instrumentation |
卷号 | 11341 |
会议日期 | 2019-07-07 |
会议地点 | Beijing, China |
出版者 | SPIE |
产权排序 | 1 |
摘要 | Large-aperture optics mirror is one of the high resolution space camera's key components. The mirror surface shape accuracy which is subjected to external loadings can be obtained through fitting mirror surface shape. Zernike polynomials is widely used in fitting mirror surface shape due to the outstanding advantages, such as high precision and good convergence.Two methods of fitting mirror surface shape via Zernike polynomials are introdeced in this paper, namely, mirror surface deformation fitting and mirror surface shape fitting directly. Taking spherical mirror for example, the relation between the number of terms in Zernike polynomials and the fitting precision is investigated. During fitting mirror surface shape, the constructed normal equations are ill-conditioned. Reliable results cannot be obtained via the normal equation method. Singular value decomposition (SVD) method is presented to solve the abnormal equations in this paper. Through calculating the PV value and the RMS value between the fitting mirror surface and the standard spherical mirror surface, the influence of Zernike polynomials terms on the fitting precision is investigated. In the end, a design example is tested to show effectiveness of the proposed method. By fitting a deformed spherical mirror surface shape under the load condition of 1g gravity using 28-term Zernike polynomials, achieving the fitting residual, the PV value is 19.7nm and the RMS value is 3.97nm. © 2019 SPIE. |
关键词 | mirror surface shape Zernike polynomials spherical mirror fitting precision Zernike polynomials terms singular value decomposition |
作者部门 | 空间光学技术研究室 |
DOI | 10.1117/12.2542929 |
收录类别 | EI ; CPCI |
ISBN号 | 9781510634541 |
语种 | 英语 |
ISSN号 | 0277786X;1996756X |
WOS记录号 | WOS:000525828600028 |
EI入藏号 | 20200408063343 |
引用统计 | |
文献类型 | 会议论文 |
条目标识符 | http://ir.opt.ac.cn/handle/181661/93202 |
专题 | 空间光学技术研究室 |
作者单位 | 1.Xi'An Institute of Optics and Precision Mechanics of CAS, Xi'an; 710119, China; 2.University of Chinese Academy of Sciences, Beijing; 100049, China |
推荐引用方式 GB/T 7714 | Huang, Tuo,Chen, Rong-Li,Chu, Chang-Bo. Research on mirror surface shape of space camera fitting based on SVD[C]:SPIE,2019. |
条目包含的文件 | ||||||
文件名称/大小 | 文献类型 | 版本类型 | 开放类型 | 使用许可 | ||
Research on mirror s(373KB) | 会议论文 | 限制开放 | CC BY-NC-SA | 请求全文 |
除非特别说明,本系统中所有内容都受版权保护,并保留所有权利。
修改评论