Acta Optica Sinica, Volume. 40, Issue 22, 2212001(2020)

Design of Large-Aperture Primary Mirror Based on Hybrid Optimization Method

Qi Sun1,2,3、* and Xuefei Gong1,2、**
Author Affiliations
  • 1National Astronomical Observatories/Nanjing Institute of Astronomical Optics & Technology, Chinese Academy of Sciences, Nanjing, Jiangsu 210042, China;
  • 2CAS Key Laboratory of Astronomical Optics & Technology, Nanjing Institute of Astronomical Optics & Technology, Nanjing, Jiangsu 210042, China;
  • 3University of Chinese Academy of Sciences, Beijing 100049, China
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    In this paper, a hybrid use of response surface approximation methodology and direct optimization method is utilized to design the lightweight and support point layout of the primary mirror. Taking the ultra-low expansion primary mirror of a 2.5 m ground-based optical telescope as an example, the parameter sensitivity analysis of this method, the global optimization of multi-objective genetic algorithm based on Kriging response surface, the local optimization process based on the gradient algorithm of the mixed-integer sequential quadratic programming are studied, and the evaluation function is formulated using the compromise programming theory. The results of integrated optimization show that, compared with the solid mirror of the same size, the lightweight rate is 72.13% when the primary mirror adopts a partially open hexagonal hole sandwich structure on the back. The primary mirror adopts 54-point whiffletree passive support in the axial direction. The root mean square of the mirror surface deformation under the vertical optical axis and gravity load is 6.08 nm, and all indexes meet the design requirements.

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    Qi Sun, Xuefei Gong. Design of Large-Aperture Primary Mirror Based on Hybrid Optimization Method[J]. Acta Optica Sinica, 2020, 40(22): 2212001

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    Paper Information

    Category: Instrumentation, Measurement and Metrology

    Received: Jun. 12, 2020

    Accepted: Jul. 24, 2020

    Published Online: Oct. 16, 2020

    The Author Email: Sun Qi (sunqi181@mails.ucas.ac.cn), Gong Xuefei (xfgong@niaot.ac.cn)

    DOI:10.3788/AOS202040.2212001

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