title: Mathematical and numerical framework for metasurfaces using thin layers of periodically distributed plasmonic nanoparticles.
abstract: In this paper, we derive an impedance boundary condition to approximate the optical scattering effect of an array of plasmonic nanoparticles mounted on a perfectly conducting plate. We show that at some resonant frequencies the impedance blows up, allowing for a significant reduction of the scattering from the plate. Using the spectral properties of a Neumann-Poincaré type operator, we investigate the dependency of the impedance with respect to changes in the nanoparticle geometry and configuration.
authors.affiliation: Department of Mathematics , ETH Zürich , Rämistrasse 101, 8092 Zürich, Switzerland.
authors.forename: Habib
authors.identifier: 0000-0001-7278-4877
authors.initials: H
authors.lastname: Ammari
authors.affiliation: Department of Mathematics and Applications , Ecole Normale Supérieure , 45 Rue d'Ulm, 75005 Paris, France.
authors.forename: Matias
authors.initials: M
authors.lastname: Ruiz
authors.affiliation: Department of Mathematics , ETH Zürich , Rämistrasse 101, 8092 Zürich, Switzerland.
authors.forename: Wei
authors.initials: W
authors.lastname: Wu
authors.affiliation: Department of Mathematics , ETH Zürich , Rämistrasse 101, 8092 Zürich, Switzerland.
authors.forename: Sanghyeon
authors.initials: S
authors.lastname: Yu
authors.affiliation: Department of Mathematics , HKUST , Clear Water Bay, Kowloon, Hong Kong.
authors.forename: Hai
authors.initials: H
authors.lastname: Zhang
keywords: Neumann–Poincaré operator; array of nanoparticles; metasurfaces; periodic Green function; plasmonic resonance