Sakamoto Julia A, Barrett Harrison H
College of Optical Sciences, University of Arizona, Tucson, Arizona 85721, USA.
Opt Express. 2012 Jul 2;20(14):15928-44. doi: 10.1364/OE.20.015928.
A method for determining the pupil phase distribution of an optical system is demonstrated. Coefficients in a wavefront expansion were estimated using likelihood methods, where the data consisted of multiple irradiance patterns near focus. Proof-of-principle results were obtained in both simulation and experiment. Large-aberration wavefronts were handled in the numerical study. Experimentally, we discuss the handling of nuisance parameters. Fisher information matrices, Cramér-Rao bounds, and likelihood surfaces are examined. ML estimates were obtained by simulated annealing to deal with numerous local extrema in the likelihood function. Rapid processing techniques were employed to reduce the computational time.
展示了一种确定光学系统瞳孔相位分布的方法。使用似然方法估计波前展开中的系数，其中数据由焦点附近的多个辐照度图案组成。在模拟和实验中均获得了原理验证结果。在数值研究中处理了大像差波前。在实验方面，我们讨论了干扰参数的处理。研究了费舍尔信息矩阵、克拉美罗界和似然曲面。通过模拟退火获得最大似然估计，以处理似然函数中的众多局部极值。采用快速处理技术来减少计算时间。
