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基于瞳面差异的相位复原算法

Phase Recovery Algorithm Based on Pupil Diversity

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摘要

GS(Gerchberg Saxton)算法具有收敛速度慢、运算精度低和收敛易陷入局部极小值等缺点,其对初值的选择非常敏感。通常情况下,估计的初值越接近真实值,复原效果越好。为了获得更接近于真实值的初始相位,在望远镜的瞳面添加非冗余孔径掩模,对通过掩模形成的干涉图进行处理,获得初始相位,可有效地加快GS算法的收敛速度并提高其运算精度。仿真结果表明所提算法的平均复原精度最少是GS算法的9倍。

Abstract

The GS (Gerchberg-Saxton) algorithm has the disadvantages of slow convergence, low accuracy, and easily falling into local minimum values. The GS algorithm is very sensitive to the initial phase. Usually, the closer the estimated initial phase is to its true value, the better the obtained recovery result is. Therefore, in order to obtain the initial phase more close to its true value, we added a non-redundant aperture mask on the pupil of a telescope, and then we processed the interferogram formed by the mask to obtain the initial phase. This method can effectively improve the convergence speed and running accuracy of the GS algorithm. The efficiency of this algorithm was verified via a computer simulation. The simulation results show that the average recovery accuracy of the proposed algorithm is at least nine times that of the GS algorithm.

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DOI:10.3788/AOS201939.0626001

所属栏目:物理光学

基金项目:国家自然科学基金;

收稿日期:2019-01-09

修改稿日期:2019-03-21

网络出版日期:2019-06-17

作者单位    点击查看

李倩: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中国科学院天文光学技术重点实验室, 江苏 南京 210042中国科学院大学, 北京 100049
吴桢: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中国科学院天文光学技术重点实验室, 江苏 南京 210042
徐节速: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中国科学院天文光学技术重点实验室, 江苏 南京 210042中国科学院大学, 北京 100049
厉宏兰: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中国科学院天文光学技术重点实验室, 江苏 南京 210042中国科学院大学, 北京 100049

联系人作者:吴桢(zhenwu@niaot.ac.cn)

备注:国家自然科学基金;

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引用该论文

Qian Li, Zhen Wu, Jiesu Xu, Honglan Li. Phase Recovery Algorithm Based on Pupil Diversity[J]. Acta Optica Sinica, 2019, 39(6): 0626001

李倩, 吴桢, 徐节速, 厉宏兰. 基于瞳面差异的相位复原算法[J]. 光学学报, 2019, 39(6): 0626001

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