论文标题
摩尔斯镜头
The Morse lens
论文作者
论文摘要
在这封信中，我们发现莫尔斯的潜力（大约90年前提议）可以通过共形映射与库仑潜能（或牛顿潜力）和谐波潜力（或hooke势）有关。因此，我们设计了来自莫尔斯（Morse）潜力，伊顿镜头和伦斯堡镜头的新的形式镜头，并提出了一系列广义的伊顿/伦斯堡镜头。我们发现，这种摩尔斯镜头是一种完美的自我关注的不对称镜头，与Mikaelian镜头不同。我们的理论为摩尔斯潜能和其他传统潜力提供了新的见解，并重新审视了他们在设计镜头上的经典应用。
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.
