Double metasurfaces and Optimal transport
arXiv:2503.04536
summary
The paper designs metalenses that redirect light between media with different refractive indices while preserving a specified energy distribution, using optimal transport theory to create both single and double lens systems and analyzing the regularity of the resulting maps.
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.
37 pages, 2 figures. This version includes additional clarifications and supersedes Version 2
Topics & keywords
#metalenses#optimal transport#refractive index#energy conservation#lens designmetalensoptimal transport theoryrefractive index contrastenergy distributionsinglet lensdoublet lens