Detection of large aperture flat mirror based on the differential optics transfer function method
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摘要:
为了实现大口径平面镜的原位检测，本文基于差分传递函数结合瑞奇康芒检测架构，利用全息检测方法结合瑞奇康芒法，通过光瞳的遮拦编码实现大口径平面镜的面形检测。首先，对基于差分传递函数法的大口径平面镜检测基本原理进行了推导，并将现有的大口径波前与重建波前进行对比。最后，利用变形镜搭建了检测光路。本文方法所得到面形与输入面形相关性不低于70%。本文的研究成果对宇宙“首光”探测以及“一黑两暗三起源”等宇宙学基础命题的研究均有十分重要的意义。
Abstract:In order to realize the in-situ detection of large aperture plane mirrors, wavefront detection is achieved by a combination of the Ritchey-Common method and holographic detection through the differential transfer function, combined with the actual Ritchey-Common detection architecture, and through the occlusion code of the pupil. Firstly, the principle of large aperture plane mirror detection based on differential transfer function method is derived, and the existing large aperture wavefront is compared with the reconstructed wavefront. Finally, the detection light path is built by using deformable mirrors. The correlation between the surface shape obtained by this method and the input surface shape is not less than 70%. This paper is of great significance to the fundamental cosmological propositions such as the detection of the "first light" of the universe and the "one black, two dark and three origins".
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图 1 孔径变分下的标准波前主成分分析结果
Figure 1. Principal component analysis results of standard wavefront
图 2 对彗差与像散混合波前的差分光学传递函数解算幅值（a）及相位（b）
Figure 2. (a) The amplitude and (b) phase calculated by the differential optical transfer function for the mixed wavefront of coma and astigmatism
图 3 孔径变分前（a）、后（b）焦斑能量分布
Figure 3. Energy distributions of the focal spot before (a) and after (b) aperture variation
图 4 2 m级大口径反射镜面形差分光学传递函数解算结果。（a）原始波前；（b）恢复波前；（c）原始波前结构函数；（d）恢复波前结构函数
Figure 4. Differential optical transfer function solutions for a 2 m level large aperture mirror shape. (a) Original wavefront. (b) Recovered wavefront. (c) Original wavefront structure function. (d) Recovered wavefront structure function
图 5 原始波前与复原结果的互相关函数
Figure 5. Cross correlation function between the original wavefront and restoration′s result
图 6 基于全息瑞奇-康芒检测大口径平面镜离散孔径检测架构。（a）光瞳架构；（b）检测光路；（c）孔径变分解算过程
Figure 6. Large aperture planar mirror discrete aperture detection architecture based on holographic Ritchey-Common detection. (a) Pupil architecture. (b) Detection optical path. (c) Aperture variational calculation process
图 7 低阶像差组合的（a）原始波前与（b）重建波前
Figure 7. (a) Original wavefront and (b) reconstructed wavefront of low-order aberration combination
图 8 原始波前与重建波前对应的Zernike系数对比
Figure 8. Comparison of Zernike coefficients corresponding to the original wavefront and the reconstructed wavefront
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