Theory of plasmonic metasurfaces

TL;DR

This paper develops a theoretical model for plasmonic metasurfaces, deriving an impedance boundary condition to approximate their optical scattering effects, and analyzes how nanoparticle geometry influences resonance behavior.

Contribution

It introduces a novel impedance boundary condition for plasmonic nanoparticle arrays and explores the spectral properties affecting resonance and scattering reduction.

Findings

Impedance blows up at resonant frequencies, reducing scattering.

Spectral analysis links nanoparticle geometry to resonance behavior.

The model accurately predicts scattering effects of plasmonic metasurfaces.

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-Poincare type operator, we investigate the dependency of the impedance with respect to changes in the nanoparticle geometry and configuration.