In this letter, we will explore the geometric optical characteristics of Morse lens. We derive the general trajectory formula and find that parts of them in generalized Eaton/Luneburg lenses are coincided to circles. Moreover, we find a new kind of combined lenses that can perform perfect images on the basis of Morse lens. Our work provides new ideas for Morse lens, other traditional lenses and their combinations.

中文翻译：

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莫尔斯透镜的几何光学特性及其内外版本

在这封信中，我们将探讨莫尔斯透镜的几何光学特性。我们推导出一般轨迹公式并发现它们在广义伊顿/吕讷堡透镜中的一部分与圆重合。此外，我们在莫尔斯镜头的基础上发现了一种新型的组合镜头，可以表现出完美的图像。我们的工作为莫尔斯透镜、其他传统透镜及其组合提供了新的思路。