论文标题
高斯照明和优化轮廓的分析阶段光传递函数
Analytical phase optical transfer function for Gaussian illumination and the optimized profiles
论文作者
论文摘要
可以用相光传递函数（POTF）来描述断层卷积阶段显微镜的成像性能，这又取决于照明曲线。为了促进照明曲线的优化，开发了一种基于多项式拟合的分析计算方法来描述一般非均匀轴向对称照明的POTF。然后将其应用于高斯和相关概况。与在一系列Annuli上集成的数值集成方法相比，目前的分析方法速度更快，并且同样准确。此外，提出了POTF和最小二乘最小化的平衡分布标准，以优化POTF的均匀性。通过放松的最佳搜索分析发现最佳的一般概况，并通过树搜索找到最佳的高斯轮廓。数值模拟证实了这些最佳曲线的性能，并支持引入的平衡分布标准。
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 non-uniform 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.
