The optimization of segment’s axial support point for large astronomical telescopes

Yongfeng Song, Liangzhou Chen, Chang Song, Xiaojun Liu
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Abstract

Existing axial support for segments mostly adopts the Whiffletree support mode. The location of the support point will have a great influence on the surface precision of the primary mirror, and then influence the final imaging quality of the telescope. At present, there is no special support technology for traditional and thin mirror.In this paper, the research is based on LOT’s hexagonal segment (the surface is hyperboloid, diagonal line is 1.2m, thickness is 45mm, material is Zerodur), which is designed by Huazhong university of science and technology. The optimization of the Whiffletree axial support point of the segment is carried out. Efficient optimization algorithm is used in the research. After building parameterized model of segment support point location, FEM is used to obtain segment surface deformation. Taking the minimum RMS of deformation on segment surface under gravity as the goal, optimized software ISIGHT is applied to find the best support point location. Zernike orthonormal polynomials for hexagonal pupils is used to remove rigid-body motion. Finally, the best support point location point is obtained, the RMS of the segment surface deformation is 11.56nm and the PV is 63.98nm. The result can meets the requirement of LOT design well.
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大型天文望远镜节段轴向支撑点的优化
现有管片轴向支护多采用Whiffletree支护方式。支撑点的位置对主镜的表面精度有很大的影响,进而影响望远镜的最终成像质量。目前,对于传统的薄镜,没有专门的支撑技术。本文的研究基于华中科技大学设计的LOT的六边形线段(表面为双曲面,对角线为1.2m,厚度为45mm,材料为Zerodur)。对管片的Whiffletree轴向支撑点进行了优化。研究中采用了高效的优化算法。在建立管段支撑点位置参数化模型后,采用有限元法计算管段表面变形。以重力作用下管片表面变形均方根值最小为目标,应用优化软件ISIGHT寻找最佳支撑点位置。采用泽尼克正交多项式对六边形瞳孔进行去除刚体运动。最终获得最佳支撑点定位点,线段表面变形的RMS为11.56nm, PV为63.98nm。结果可以很好地满足LOT设计的要求。
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