Optical properties of thin metallic film/dielectric superlattices constrained by the size effect

The dispersion relation of the 1D Bloch wave vector accompanied with an incident transverse electromagnetic wave on thin metallic film/dielectric superlattices is crucial to its optical properties. The interference of excited longitudinal plasmons between neighbouring metallic films induces a collective oscillation of the whole superlattice causing coupled plasmon polariton waves. A calculation of the optical reflectance manipulated by the size effect on the dielectric constant induces more allowable bands at < as the specularity parameters p and q decrease, meanwhile the cut-off frequency for band rejection also shows a blue shift.