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

Hairen Wang; Zheng Lou; Yuan Qian; Xianzhong Zheng; Yingxi Zuo

doi:10.1117/1.OE.55.3.035105

23 March 2016 Hybrid optimization methodology of variable densities mesh model for the axial supporting design of wide-field survey telescope

Hairen Wang, Zheng Lou, Yuan Qian, Xianzhong Zheng, Yingxi Zuo

Author Affiliations +

Optical Engineering, Vol. 55, Issue 3, 035105 (March 2016). https://doi.org/10.1117/1.OE.55.3.035105

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.

Citation Download 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," Optical Engineering 55(3), 035105 (23 March 2016). https://doi.org/10.1117/1.OE.55.3.035105

Published: 23 March 2016

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