莫尔斯透镜
The Morse lens
摘要：
在这封信中，我们发现Morse势（大约90年前提出的）可以通过保角映射与库仑势（或牛顿势）和调和势（或胡克势）联系起来。在此基础上，我们从Morse势、Eaton透镜和Luneburg透镜出发，设计了一种新的共形透镜，并提出了一系列推广的Eaton/Luneburg透镜。我们发现这种Morse透镜是一种完全自聚焦的非对称透镜，它不同于Mikaelian透镜。我们的理论提供了一个新的见解莫尔斯势和其他传统的潜力和重温他们的经典应用设计的镜头。
英文摘要：
In this letter, we find that Morse potential (proposed about 90 years ago) could be connected to Coulomb potential (or Newton potential) and harmonic potential (or Hooke potential) by conformal mappings. We thereby design a new conformal lens from Morse potential, Eaton lens and Luneburg lens and propose a series of generalized Eaton/Luneburg lenses. We find that this Morse lens is a perfect self-focusing asymmetric lens, which differs from Mikaelian lens. Our theory provides a new insight to Morse potential and other traditional potentials and revisits their classical applications on designing lenses.
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。
