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Metasurfaces and Optimal transport
preprintposted on 2023-01-11, 22:31 authored by Cristian E. Gutiérrez, Qingbo Huang, Quentin Mérigot, Boris Thibert
This paper provides a theoretical and numerical approach to show existence, uniqueness, and the numerical determination of metalenses refracting radiation with energy patterns. The theoretical part uses ideas from optimal transport and for the numerical solution we study and implement a damped Newton algorithm to solve the semi discrete problem. A detailed analysis is carried out to solve the near field one source refraction problem and extensions to the far field are also mentioned.