We present a study of the diffraction pattern according to Richards–Wolf for an aplanatic and stigmatic singlet based on an exact analytical equation. We are able to put emphasis on the maximum diameter and illumination pattern, which are the two parameters that influence the diffraction pattern and how to compute it. Designs of low- and high-NA aplanatic and stigmatic lenses are implemented to display these effects.

中文翻译：

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关于高 NA 消球差和柱头单线态的衍射

我们根据 Richards-Wolf 对基于精确解析方程的消球差和柱头单线态的衍射图进行了研究。我们能够强调最大直径和照明图案，这是影响衍射图案的两个参数以及如何计算它。实施低和高 NA 消球差和柱头透镜的设计来显示这些效果。