Double metasurfaces and Optimal transport

Abstract

This paper constructs metalenses that separate homogeneous media with different refractive indices, refracting one domain into another while conserving a prescribed energy distribution. Using optimal transport theory, we design singlet and doublet metalenses satisfying energy conservation by refraction, and obtain partial regularity of the optimal maps involved.

arXiv comment37 pages, 2 figures. This version includes additional clarifications and supersedes Version 2