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  • Received: Feb. 26, 2020

    Accepted: Mar. 20, 2020

    Posted: May. 15, 2020

    Published Online: May. 19, 2020

    The Author Email: Huanyang Chen (kenyon@xmu.edu.cn)

    DOI: 10.3788/COL202018.062403

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    Huanyang Chen, Wen Xiao. Morse lens [Invited][J]. Chinese Optics Letters, 2020, 18(6): 062403

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Chinese Optics Letters, Vol. 18, Issue 6, 062403 (2020)

Morse lens [Invited]

Huanyang Chen1,2,* and Wen Xiao1,2

Author Affiliations

  • 1Institute of Electromagnetics and Acoustics and Key Laboratory of Electromagnetic Science and Detection Technology, Xiamen University, Xiamen 361005, China
  • 2Department of Electrical and Electronics Engineering, Xiamen University Malaysia, 43900 Sepang, Selangor, Malaysia

Abstract

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 that differs from a Mikaelian lens. Our theory provides a new insight to Morse potential and other traditional potentials, and revisits their classical applications on designing lenses.

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