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arXiv 2012.05690physics.opticseess.IV
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高斯照明下相位光学传递函数的解析解及优化分布

Analytical phase optical transfer function for Gaussian illumination and the optimized profiles

Jianhui Huang, Yijun Bao, Thomas K. Gaylord

摘要:

层析去卷积相位显微术的成像性能可以用相位光学传递函数(POTF)来描述,而POTF又取决于照明轮廓。为了便于优化照明轮廓,基于多项式拟合的解析计算方法来描述一般非均匀轴对称照明的POTF。然后将其应用于高斯分布和相关分布。与在一系列环空中积分的数值积分方法相比,本解析方法速度快得多,且同样精确。此外,一个平衡的POTF分布准则和最小二乘最小化,以优化POTF的均匀性。通过松弛最优搜索解析地找到最优的一般轮廓,并且通过树搜索找到最优的高斯轮廓。数值模拟证实了这些最佳配置文件的性能,并支持平衡的分布标准介绍。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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