We derive the analytic formula of the output surface of a spherochromatic lens. The analytic solution ensures that all the rays for a wide range of wavelengths fall inside the Airy disk. So, its amount of spherical aberration is small enough to consider the lens as diffracted limited. We test the singlet lens using ray-tracing methods and find satisfactory results, including spot diagram analysis for three different Abbe wavelengths.

中文翻译：

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球色单线态的解析设计。

我们推导出球面镜的输出面的解析公式。该分析解决方案可确保所有波长范围内的所有射线都落在艾里斑片内。因此，其球差很小，足以将透镜视为衍射极限。我们使用光线追踪方法测试了单重透镜，并找到了令人满意的结果，包括针对三种不同阿贝波长的点图分析。