arXiv subjects

Irem Altiner

Publications and source records attributed to Irem Altiner.

2 recordsLinked to original sources

arXiv2025

The Multi-marginal Monge Problem and an Application to Metasurfaces

This paper studies the multi-marginal Monge problem in the setting of compact metric spaces proving existence and uniqueness of solutions when the cost function is Lipschitz. We apply the results obtained to solve an optics problem involving metalenses, that is, we design a refracting-reflecting metalens that preserves given energy distributions.

math.AP↗

arXiv2025

Double metasurfaces and Optimal transport

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.

math.AP↗