  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.

Analysis of PDEs