两步式灵敏度矩阵法在卡塞格林望远镜装调中的应用

为了调节视场较大的卡塞格林望远镜的次镜位置, 提出了两步式灵敏度矩阵模型的计算机辅助装调方法。在分析了传统的二次模型灵敏度矩阵法的缺陷的基础上, 根据灵敏度矩阵的特点加入了精调步骤, 对传统的灵敏度矩阵法进行了改进。针对卡塞格林系统, 分析了各项泽尼克系数与失调量之间的关系, 并对 300 mm口径, 0.6°视场的卡塞格林系统进行了校正仿真。仿真结果显示, 传统的灵敏度矩阵法校正后沿 x、y、z轴偏移及绕 x、y轴倾斜的失调量的均值分别为: -0.0684 mm、-0.0892 mm、0.0015 mm、0.0498°和-0.0444°, 全视场波像差 RMS均小于 0.1λ(λ=632.8 nm); 两步式灵敏度矩阵法校正后的均值分别为 -0.0018 mm、-0.0012 mm、0.0002 mm、0.0008°和-0.0012°, 全视场 RMS均小于 0.03λ, 明显优于传统的灵敏度矩阵法。

Abstract

In order to adjust the position of the secondary mirror of Cassegrain telescope with large field of view, a computer aided adjustment method of two-step sensitivity matrix model was proposed. Based on the analysis of the shortcomings of the traditional sensitivity matrix method of the two order model, a fine tuning step was added based on the characteristics of the sensitivity matrix and the traditional sensitivity matrix method was improved. For the Cassegrain system, the relationship between the Zernike coefficients and the misalignment was analyzed, and the calibration simulation of Cassegrain system with 300 mm aperture and 0.6° field of view was carried out. The simu-lation results show that after correction by traditional sensitivity matrix method, the mean values of offset along x, y, z axes and tilt around x,y axes are -0.0684 mm, -0.0892 mm, 0.0015 mm, 0.0498° and -0.0444°, respectively, and the full field wavefront aberration RMS is less than 0.1λ(λ=632.8 nm). After correction by two step sensitivity matrix correction method, the mean values are -0.0018 mm, -0.0012 mm, 0.0002 mm, 0.0008° and -0.0012°, respectively, and the full field wavefront aberration RMS is less than 0.03λ, which is obviously superior to the traditional sensitivity matrix method.

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曹宇泽, 马文礼. 两步式灵敏度矩阵法在卡塞格林望远镜装调中的应用[J]. 光电工程, 2020, 47(2): 180536. Cao Yuze, Ma Wenli. Application of two step sensitivity matrix method in Cassegrain telescope alignment[J]. Opto-Electronic Engineering, 2020, 47(2): 180536.

两步式灵敏度矩阵法在卡塞格林望远镜装调中的应用

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