Optical Design and Engineering

Hybrid optimization methodology of variable densities mesh model for the axial supporting design of wide-field survey telescope

[+] Author Affiliations
Hairen Wang, Zheng Lou, Yuan Qian, Xianzhong Zheng, Yingxi Zuo

Chinese Academy of Sciences, Purple Mountain Observatory, 2 West Beijing Road, Nanjing, 210008, China

Chinese Academy of Sciences, Key Laboratory for Radio Astronomy, 2 West Beijing Road, Nanjing, 210008, China

Opt. Eng. 55(3), 035105 (Mar 23, 2016). doi:10.1117/1.OE.55.3.035105
History: Received July 21, 2015; Accepted March 9, 2016
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Abstract.  The optimization of a primary mirror support system is one of the most critical problems in the design of large telescopes. Here, we propose a hybrid optimization methodology of variable densities mesh model (HOMVDMM) for the axial supporting design, which has three key steps: (1) creating a variable densities mesh model, which will partition the mirror into several sparse mesh areas and several dense mesh areas; (2) global optimization based on the zero-order optimization method for the support of primary mirror with a large tolerance; (3) based on the optimization results of the second step, further optimization with first-order optimization method in dense mesh areas by a small tolerance. HOMVDMM exploits the complementary merits of both the zero- and first-order optimizations, with the former in global scale and the latter in small scale. As an application, the axial support of the primary mirror of the 2.5-m wide-field survey telescope (WFST) is optimized by HOMVDMM. These three designs are obtained via a comparative study of different supporting points including 27 supporting points, 39 supporting points, and 54 supporting points. Their residual half-path length errors are 28.78, 9.32, and 5.29 nm. The latter two designs both meet the specification of WFST. In each of the three designs, a global optimization value with high accuracy will be obtained in an hour on an ordinary PC. As the results suggest, the overall performance of HOMVDMM is superior to the first-order optimization method as well as the zero-order optimization method.

© 2016 Society of Photo-Optical Instrumentation Engineers

Citation

Hairen Wang ; Zheng Lou ; Yuan Qian ; Xianzhong Zheng and Yingxi Zuo
"Hybrid optimization methodology of variable densities mesh model for the axial supporting design of wide-field survey telescope", Opt. Eng. 55(3), 035105 (Mar 23, 2016). ; http://dx.doi.org/10.1117/1.OE.55.3.035105


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