Controlling interface reflectance by a monolayer of nanoparticles

This work examines reflection of a light wave from the surface of a semi-infinite medium covered with an ordered monolayer of spherical nanoparticles. We derive analytical expressions for the electric fields within and outside such structures with allowance for the electrodynamic interaction of the nanoparticles with one another and with the substrate. It is shown that such metalayers may raise or reduce the reflection coefficient relative to Fresnel reflection from an uncoated substrate surface. Constructive and destructive interference conditions are examined. We derive and analyse a zero-reflection condition in the form of a relationship between the parameters of the monolayer and medium.