Theory of plasmonic metasurfaces
  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. 
Habib Ammari, Matias Ruiz, Wei Wu, Sanghyeon Yu and Hai Zhang
math.AP