Bound states of a photon and optical reflectivity in a monolayer of dielectric spheres

In a monolayer of arrayed macroscopic spheres of dielectric, it is shown that the localized states of photons appear as sharp peaks in the line shape of reflectivity of light. They are confirmed as such by calculating the integrated density of states of photons and the dependence of the reflectivity on the radius of spheres. The condition for their existence and the possibility of their detection are also discussed.