双型金属透镜与最优输运
偏微分方程分析
2025-07-16 v2 材料科学
光学
摘要
本文通过最优输运理论构建金属透镜，使其能够分离具有不同折射率的均匀介质，同时保持规定的能量分布。我们设计了满足能量守恒的单透镜和双透镜，并获得了涉及的最优图的部分正则性。
引用
@article{arxiv.2503.04536,
title = {Double metasurfaces and Optimal transport},
author = {Irem Altiner and Cristian E. Gutiérrez},
journal= {arXiv preprint arXiv:2503.04536},
year = {2025}
}
备注
35 pages, 2 figures. This replaces Version 1, where the results were demonstrated using flows. Additionally, the multimarginal Monge problem and its application discussed in Version 1 are not included in this version and will be addressed in a separate paper