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DOI: 10.17586/1023-5086-2020-87-05-31-41
Testing of the stochastic parallel gradient descent algorithm to the alignment of a two-mirror telescope
Full text «Opticheskii Zhurnal»
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Publication in Journal of Optical Technology
Min Li, Xin Liu, Ang Zhang, Hao Xian. Проверка эффективности алгоритма стохастического параллельного градиентного спуска для юстировки двухзеркальных телескопов. 2020. Т. 87. № 5. С. 31–41. http://doi.org/10.17586/1023-5086-2020-87-05-31-41
Min Li, Xin Liu, Ang Zhang, Hao Xian. Testing of the stochastic parallel gradient descent algorithm to the alignment of a two-mirror telescope, [in English] // Opticheskii Zhurnal. 2020. V. 87. № 5. P. 31–41. http://doi.org/10.17586/1023-5086-2020-87-05-31-41
The precise alignment of a high-performance, wide-field telescope is a key factor to ensure its imaging quality. The sharpness function of far-field images combined with an optimization algorithm is one of the most commonly used telescope alignment methods because of its advantages of having a concise measurement system, a simple calculation process, and wide application fields. In this paper, a Cassegrain telescope with two mirrors is aligned by maximizing the sharpness function of far-field images using the stochastic parallel gradient descent algorithm. To verify the effects of this method, both numerical simulations and experiments are implemented. The misalignments are corrected only after a few iterations, indicating that the stochastic parallel gradient descent algorithm can align the telescope rapidly. What’s more, wavefront errors are measured using a Shack–Hartmann wavefront sensor to confirm the accuracy. The results show that this method can align a telescope that is in a misaligned working state with large misalignment errors rapidly and accurately, and the image quality after correction is improved greatly.
telescope alignment, sharpness function, stochastic parallel gradient descent algorithm, rms radius of error
OCIS codes: 220.1140, 220.1000, 080.1010, 120.0120
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