29 March 2022 Three orientations method for extracting zero-gravity surface figure of a mirror
Jia Zhai, Yutong Meng, Xiaoli Ren, Fengtao Yan, Bin Fan
Author Affiliations +
Abstract

Zero-gravity surface figure testing is important for space optical elements. We propose the three orientations method (TOM) to achieve this goal. The optical element is rotated according to the proposed degree of freedom, and we calculate its zero-gravity surface figure by any three rotation angles (θ1, θ2, and θ3) and their corresponding surface figures (S1,  S2, and   S3). The algorithm of TOM can also be applied to the face-up/face-down test and horizontal rotation test. Theoretically, TOM can get an absolute zero-gravity surface figure; however, a rotation angle error can result in a zero-gravity surface figure error. The surface figure model (SFM) and gravity-included angle model (GAM) are proposed to analyze the relationship between the rotation angle error and zero-gravity surface figure error. For numerical results, SFM is equivalent to GAM. In addition, GAM addresses the zero-gravity surface figure error, which is induced by the rotation angle error, also being regarded as a surface figure, which is caused by a certain amount of gravity. For all models, we provide both theoretical derivations and numerical examples.

© 2022 Society of Photo-Optical Instrumentation Engineers (SPIE) 2329-4124/2022/$28.00 © 2022 SPIE
Jia Zhai, Yutong Meng, Xiaoli Ren, Fengtao Yan, and Bin Fan "Three orientations method for extracting zero-gravity surface figure of a mirror," Journal of Astronomical Telescopes, Instruments, and Systems 8(1), 014011 (29 March 2022). https://doi.org/10.1117/1.JATIS.8.1.014011
Received: 25 October 2021; Accepted: 28 February 2022; Published: 29 March 2022
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KEYWORDS
Mirrors

Atomic force microscopy

Error analysis

Data modeling

Space mirrors

Interferometers

Optical components

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