Reflection and refraction problems for metasurfaces related to Monge-Amp\`ere equations
Analysis of PDEs
2018-08-29 v1 Optics
Abstract
A metasurface is a surface, tipically a plane, on which a function called phase discontinuity is chosen so that the metasurface produces a desired reflection or refraction job. We derive the equations that the phase discontinuity function must satisfy, they are Monge-Amp\`ere partial differential equations, and we prove existence of solutions.
Keywords
Cite
@article{arxiv.1805.00722,
title = {Reflection and refraction problems for metasurfaces related to Monge-Amp\`ere equations},
author = {Cristian E. Gutierrez and Luca Pallucchini},
journal= {arXiv preprint arXiv:1805.00722},
year = {2018}
}
Comments
20 pages, 4 figures