Wavefront super-resolution for Adaptive Optics systems on ground-based telescopes
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866915982484701184 |
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| author | Wu, Yutong Wagner, Roland Ramlau, Ronny Chan, Raymond H. |
| author_facet | Wu, Yutong Wagner, Roland Ramlau, Ronny Chan, Raymond H. |
| contents | In ground-based astronomy, Adaptive Optics (AO) is a pivotal technique, engineered to correct wavefront phase distortions and thereby enhance the quality of the observed images. Integral to an AO system is the wavefront sensor (WFS), which is crucial for detecting wavefront aberrations from guide stars, essential for phase calculations. Many models based on a single-WFS model have been proposed to obtain the high-resolution phase of the incoming wavefront. In this paper, we delve into the realm of multiple WFSs within the framework of state-of-the-art telescope setups for high-resolution phase reconstruction. We propose a model for reconstructing a high-resolution wavefront from a sequence of wavefront gradient data from multiple WFSs in a multi-frame post-processing setting. Our model is based on the turbulence statistics and the Taylor frozen flow hypothesis, incorporating knowledge of the wind velocities in atmospheric turbulence layers. We also introduce an $H_2$ regularization term, especially for atmospheric characteristics under von Karman statistics, and provide a theoretical analysis for $H^2$ space within $H^{11/6}$. Numerical simulations are conducted to demonstrate the robustness and effectiveness of our regularization term and multi-WFS reconstruction strategy under identical experimental conditions. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2507_19150 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Wavefront super-resolution for Adaptive Optics systems on ground-based telescopes Wu, Yutong Wagner, Roland Ramlau, Ronny Chan, Raymond H. Instrumentation and Methods for Astrophysics Optimization and Control 68U10, 65K10, 65F20, 65F22, 85-08 In ground-based astronomy, Adaptive Optics (AO) is a pivotal technique, engineered to correct wavefront phase distortions and thereby enhance the quality of the observed images. Integral to an AO system is the wavefront sensor (WFS), which is crucial for detecting wavefront aberrations from guide stars, essential for phase calculations. Many models based on a single-WFS model have been proposed to obtain the high-resolution phase of the incoming wavefront. In this paper, we delve into the realm of multiple WFSs within the framework of state-of-the-art telescope setups for high-resolution phase reconstruction. We propose a model for reconstructing a high-resolution wavefront from a sequence of wavefront gradient data from multiple WFSs in a multi-frame post-processing setting. Our model is based on the turbulence statistics and the Taylor frozen flow hypothesis, incorporating knowledge of the wind velocities in atmospheric turbulence layers. We also introduce an $H_2$ regularization term, especially for atmospheric characteristics under von Karman statistics, and provide a theoretical analysis for $H^2$ space within $H^{11/6}$. Numerical simulations are conducted to demonstrate the robustness and effectiveness of our regularization term and multi-WFS reconstruction strategy under identical experimental conditions. |
| title | Wavefront super-resolution for Adaptive Optics systems on ground-based telescopes |
| topic | Instrumentation and Methods for Astrophysics Optimization and Control 68U10, 65K10, 65F20, 65F22, 85-08 |
| url | https://arxiv.org/abs/2507.19150 |