光学学报, 2018, 38 (6): 0628001, 网络出版: 2018-07-09   

离焦型Shack-Hartmann传感器的光斑矩波前重建 下载: 950次

Wavefront Reconstruction by a Defocused Shack-Hartmann Sensor Based on Moment of Spot
丰帆 1,2,3李常伟 1,2张思炯 1,2,*
作者单位
1 中国科学院国家天文台南京天文光学技术研究所, 江苏 南京 210042
2 中国科学院天文光学技术重点实验室, 江苏 南京 210042
3 中国科学院大学, 北京 100049
摘要
将光斑矩推广应用到离焦型Shack-Hartmann波前传感器中,提出了一种高精度的波前重建方法。针对离焦型Shack-Hartmann波前传感器,不仅提取了每一个微透镜光斑的质心偏移量,而且提取了每一个光斑的二阶矩,用于计算波前的局部斜率和局部曲率。将传统Shack-Hartmann传感器利用波前局部斜率进行波前重构的算法,推广到同时利用波前的局部斜率和局部曲率进行波前重构,并进行了数值模拟研究。数值模拟结果表明:所提波前重建算法可以进行高精度的波前重建。将peaks函数作为输入波前,采用所提波前重建算法得到的波前残差RMS为0.0327λ,小于常规算法的0.0903λ,表明所提算法可以显著地提高波前重建精度。
Abstract
This article presents a hybrid algorithm for improving the accuracy of wavefront reconstruction of a defocused Shack-Hartmann wavefront sensor using the moment method. For a defocused Shack-Hartmann sensor, not only the shift of centroid for each microlens spot but also the second-order moment of each spot are extracted for calculating the local slopes and curvatures of the input wavefront. To improve the accuracy of the wavefront reconstruction, we employ these calculated slopes and curvatures to reconstructure the input wavefront instead of just using the calculated slopes for the conventional Shack-Hartmann sensor. The proposed method is verified by numerical simulations. It shows that the proposed method is useful for wavefront reconstruction with high accuracy. For example, the root mean square value of the residual wavefront error for reconstruciton of the peaks function is 0.0327λ using the proposed method, which is smaller than that, i.e., 0.0903λ, using the conventional method, indicating the proposed method can significantly improve the accuracy of the wavefront reconstruction.

丰帆, 李常伟, 张思炯. 离焦型Shack-Hartmann传感器的光斑矩波前重建[J]. 光学学报, 2018, 38(6): 0628001. Fan Feng, Changwei Li, Sijiong Zhang. Wavefront Reconstruction by a Defocused Shack-Hartmann Sensor Based on Moment of Spot[J]. Acta Optica Sinica, 2018, 38(6): 0628001.

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