Huang Jianhui, Bao Yijun, Gaylord Thomas K
J Opt Soc Am A Opt Image Sci Vis. 2021 May 1;38(5):750-764. doi: 10.1364/JOSAA.417407.
The imaging performance of tomographic deconvolution phase microscopy can be described in terms of the phase optical transfer function (POTF) which, in turn, depends on the illumination profile. To facilitate the optimization of the illumination profile, an analytical calculation method based on polynomial fitting is developed to describe the POTF for general nonuniform axially symmetric illumination. This is then applied to Gaussian and related profiles. Compared to numerical integration methods that integrate over a series of annuli, the present analytical method is much faster and is equally accurate. Further, a "balanced distribution" criterion for the POTF and a least-squares minimization are presented to optimize the uniformity of the POTF. An optimum general profile is found analytically by relaxed optimal search, and an optimum Gaussian profile is found through a tree search. Numerical simulations confirm the performance of these optimum profiles and support the balanced distribution criterion introduced.
断层去卷积相显微镜的成像性能可以用相光学传递函数（POTF）来描述，而相光学传递函数又取决于照明轮廓。为了便于优化照明轮廓，开发了一种基于多项式拟合的解析计算方法，用于描述一般非均匀轴对称照明的POTF。然后将其应用于高斯及相关轮廓。与在一系列圆环上进行积分的数值积分方法相比，目前的解析方法速度更快且同样准确。此外，还提出了POTF的“平衡分布”准则和最小二乘最小化方法，以优化POTF的均匀性。通过松弛最优搜索解析地找到最优通用轮廓，并通过树形搜索找到最优高斯轮廓。数值模拟证实了这些最优轮廓的性能，并支持所引入的平衡分布准则。
