Light scattering from a monolayer of periodically arrayed dielectric spheres on dielectric substrates

Theoretical studies have revealed that coupling with a dielectric substrate significantly affects the transmission spectrum of a 2D photonic crystal of monolayer dielectric spheres. The dielectric constant of a semi-infinite substrate has been found to have a threshold, above which dips in the transmission spectrum broaden drastically. A substrate of finite thickness yields additional dips in the spectrum corresponding to localized eigenstates within the substrate. The transmission spectrum is well explained by the anticrossing of the eigenstates of a monolayer and a substrate.