光学学报, 2019, 39 (6): 0626001, 网络出版: 2019-06-17
基于瞳面差异的相位复原算法 下载: 915次
Phase Recovery Algorithm Based on Pupil Diversity
物理光学 相位复原 干涉 GS算法 共相误差 非冗余孔径掩模 physical optics phase recovery interference GS algorithm co-phase error non-redundant aperture mask
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.
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. Qian Li, Zhen Wu, Jiesu Xu, Honglan Li. Phase Recovery Algorithm Based on Pupil Diversity[J]. Acta Optica Sinica, 2019, 39(6): 0626001.