A Tip–Tilt and Piston Detection Approach for Segmented Telescopes

Accurate segmented mirror wavefront sensing and control is essential for next-generation large aperture telescope system design. In this paper, a direct tip–tilt and piston error detection technique based on model-based phase retrieval with multiple defocused images is proposed for segmented mirror...

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Main Authors: Shun Qin, Wai Kin Chan
Format: Article
Language:English
Published: MDPI AG 2020-12-01
Series:Photonics
Subjects:
Online Access:https://www.mdpi.com/2304-6732/8/1/3
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author Shun Qin
Wai Kin Chan
author_facet Shun Qin
Wai Kin Chan
author_sort Shun Qin
collection DOAJ
description Accurate segmented mirror wavefront sensing and control is essential for next-generation large aperture telescope system design. In this paper, a direct tip–tilt and piston error detection technique based on model-based phase retrieval with multiple defocused images is proposed for segmented mirror wavefront sensing. In our technique, the tip–tilt and piston error are represented by a basis consisting of three basic plane functions with respect to the x, y, and z axis so that they can be parameterized by the coefficients of these bases; the coefficients then are solved by a non-linear optimization method with the defocus multi-images. Simulation results show that the proposed technique is capable of measuring high dynamic range wavefront error reaching 7λ, while resulting in high detection accuracy. The algorithm is demonstrated as robust to noise by introducing phase parameterization. In comparison, the proposed tip–tilt and piston error detection approach is much easier to implement than many existing methods, which usually introduce extra sensors and devices, as it is a technique based on multiple images. These characteristics make it promising for the application of wavefront sensing and control in next-generation large aperture telescopes.
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spelling doaj.art-e9f9a04da5f24ca48706fe9ace3c98062023-11-21T02:34:55ZengMDPI AGPhotonics2304-67322020-12-0181310.3390/photonics8010003A Tip–Tilt and Piston Detection Approach for Segmented TelescopesShun Qin0Wai Kin Chan1Tsinghua-Berkeley Shenzhen Institute, Tsinghua Shenzhen International Graduate School, Shenzhen 518055, ChinaTsinghua-Berkeley Shenzhen Institute, Tsinghua Shenzhen International Graduate School, Shenzhen 518055, ChinaAccurate segmented mirror wavefront sensing and control is essential for next-generation large aperture telescope system design. In this paper, a direct tip–tilt and piston error detection technique based on model-based phase retrieval with multiple defocused images is proposed for segmented mirror wavefront sensing. In our technique, the tip–tilt and piston error are represented by a basis consisting of three basic plane functions with respect to the x, y, and z axis so that they can be parameterized by the coefficients of these bases; the coefficients then are solved by a non-linear optimization method with the defocus multi-images. Simulation results show that the proposed technique is capable of measuring high dynamic range wavefront error reaching 7λ, while resulting in high detection accuracy. The algorithm is demonstrated as robust to noise by introducing phase parameterization. In comparison, the proposed tip–tilt and piston error detection approach is much easier to implement than many existing methods, which usually introduce extra sensors and devices, as it is a technique based on multiple images. These characteristics make it promising for the application of wavefront sensing and control in next-generation large aperture telescopes.https://www.mdpi.com/2304-6732/8/1/3segmented mirrorwavefront sensingtip–tiltpistonmodel-based phase retrieval
spellingShingle Shun Qin
Wai Kin Chan
A Tip–Tilt and Piston Detection Approach for Segmented Telescopes
Photonics
segmented mirror
wavefront sensing
tip–tilt
piston
model-based phase retrieval
title A Tip–Tilt and Piston Detection Approach for Segmented Telescopes
title_full A Tip–Tilt and Piston Detection Approach for Segmented Telescopes
title_fullStr A Tip–Tilt and Piston Detection Approach for Segmented Telescopes
title_full_unstemmed A Tip–Tilt and Piston Detection Approach for Segmented Telescopes
title_short A Tip–Tilt and Piston Detection Approach for Segmented Telescopes
title_sort tip tilt and piston detection approach for segmented telescopes
topic segmented mirror
wavefront sensing
tip–tilt
piston
model-based phase retrieval
url https://www.mdpi.com/2304-6732/8/1/3
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