Large dynamic cophasing error correction based on improved stochastic parallel gradient descent algorithm
The correction of cophasing errors in segmented mirrors is essential for achieving diffraction-limited performance in large-aperture telescopes. In this paper, we propose an improved stochastic parallel gradient descent (SPGD) algorithm, referred to as cophasing SPGD (CSPGD), specifically designed f...
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| Vydáno v: | Optics and lasers in engineering Ročník 194; s. 109168 |
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01.11.2025
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| Abstract | The correction of cophasing errors in segmented mirrors is essential for achieving diffraction-limited performance in large-aperture telescopes. In this paper, we propose an improved stochastic parallel gradient descent (SPGD) algorithm, referred to as cophasing SPGD (CSPGD), specifically designed for large dynamic cophasing error correction. The improvements include the integration of Nesterov momentum and the Adam optimizer to accelerate convergence, along with adaptive gain coefficients to ensure stability. We introduce novel metric functions tailored for significant cophasing errors, which extend the algorithm's capture range. The normalized second moment of the image intensity is utilized for large tip-tilt correction, while the integral of the side lobes of the squared modulation transfer function (MTF) under narrowband and broadband illumination is employed for large piston correction and fine phasing, respectively. Through numerical simulations and experimental validations, the CSPGD algorithm demonstrates superior performance in correcting large piston and tip-tilt errors in segmented mirrors, providing a robust and efficient solution for the cophasing tasks of segmented telescopes.
•Improved SPGD algorithm enables wavefront sensorless correction of large cophasing errors.•Multi-stage optimization and tailored metrics enhance convergence and capture range.•Simultaneous cophasing error correction for multiple segments.•Superior performance demonstrated by both simulation and experiment. |
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| AbstractList | The correction of cophasing errors in segmented mirrors is essential for achieving diffraction-limited performance in large-aperture telescopes. In this paper, we propose an improved stochastic parallel gradient descent (SPGD) algorithm, referred to as cophasing SPGD (CSPGD), specifically designed for large dynamic cophasing error correction. The improvements include the integration of Nesterov momentum and the Adam optimizer to accelerate convergence, along with adaptive gain coefficients to ensure stability. We introduce novel metric functions tailored for significant cophasing errors, which extend the algorithm's capture range. The normalized second moment of the image intensity is utilized for large tip-tilt correction, while the integral of the side lobes of the squared modulation transfer function (MTF) under narrowband and broadband illumination is employed for large piston correction and fine phasing, respectively. Through numerical simulations and experimental validations, the CSPGD algorithm demonstrates superior performance in correcting large piston and tip-tilt errors in segmented mirrors, providing a robust and efficient solution for the cophasing tasks of segmented telescopes.
•Improved SPGD algorithm enables wavefront sensorless correction of large cophasing errors.•Multi-stage optimization and tailored metrics enhance convergence and capture range.•Simultaneous cophasing error correction for multiple segments.•Superior performance demonstrated by both simulation and experiment. |
| ArticleNumber | 109168 |
| Author | Dong, Bing He, Jinping Peng, Dong Tian, Guoliang |
| Author_xml | – sequence: 1 givenname: Dong surname: Peng fullname: Peng, Dong organization: School of Optics and Photonics, Beijing Institute of Technology, Beijing, 100081, China – sequence: 2 givenname: Bing orcidid: 0000-0001-6540-2949 surname: Dong fullname: Dong, Bing email: bdong@bit.edu.cn organization: School of Optics and Photonics, Beijing Institute of Technology, Beijing, 100081, China – sequence: 3 givenname: Guoliang surname: Tian fullname: Tian, Guoliang organization: Beijing Institute of Space Mechanics and Electricity, Beijing, 100094, China – sequence: 4 givenname: Jinping surname: He fullname: He, Jinping organization: Beijing Institute of Space Mechanics and Electricity, Beijing, 100094, China |
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| Cites_doi | 10.1364/OE.24.019123 10.1117/1.OE.52.9.097105 10.1364/AO.394501 10.1364/OE.390762 10.1364/AO.428465 10.1016/j.optlastec.2017.11.039 10.1364/OL.22.000907 10.1364/OL.44.001170 10.1103/PhysRevE.91.023302 10.1364/OE.26.009541 10.1364/AO.522829 10.1016/j.optlastec.2023.109368 10.1364/OL.495664 10.1364/AO.55.000539 10.1364/OE.20.029457 10.1364/AO.404707 10.1364/OL.30.002572 10.1364/AO.49.004052 10.1364/AO.39.004706 10.1364/AO.54.006454 |
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| Keywords | Telescope Adaptive optics Wavefront sensorless Segmented mirror Cophasing error Stochastic parallel gradient descent |
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10.1016/j.optlaseng.2025.109168_br0030 article-title: Phasing the mirror segments of the Keck telescopes II: the narrow-band phasing algorithm publication-title: Appl Opt doi: 10.1364/AO.39.004706 – volume: 54 start-page: 6454 year: 2015 ident: 10.1016/j.optlaseng.2025.109168_br0080 article-title: Demonstration of extended capture range for James webb space telescope phase retrieval publication-title: Appl Opt doi: 10.1364/AO.54.006454 |
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| Title | Large dynamic cophasing error correction based on improved stochastic parallel gradient descent algorithm |
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