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。
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 is0.0327λusing 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.
作者
丰帆
李常伟
张思炯
Feng Fan;Li Changwei;Zhang Sijiong(Nanjing Institute of Astronomical Optics ＆ Technology, National Astronomical Observatories Chinese Academy of Sciences, Nanjing, Jiangsu 210042, China;Key Laboratory of Astronomical Optics ＆ Technology, Chinese Academy of Sciences, Nanjing, Jiangsu 210042, China;University of Chinese Academy of Sciences, Beijing 100049, China)
出处
《光学学报》
EI
CAS
CSCD
北大核心
2018年第6期305-311,共7页
Acta Optica Sinica
基金
国家自然科学基金(11373048
11573047)
国家自然科学基金青年科学基金(11403066)
