Abstract
Superlattices are media composed of alternate layers of isotropic materials. When the layers are sufficiently thin the optical properties of the superlattice can on the average be described as those of a uniaxial material. We derive expressions for the effective dielectric constants for an ideal superlattice in the limit of thin layers and extend this theory to finite layer thickness. This effective medium description breaks down if the lattice is aperiodic of if non-local effects are included. We have studied the effect of aperiodicity and non-locality on the properties of metal insulator superlattices. These show strong resonant excitation in the region above the bulk surface plasmon frequency. These resonances are found to be extremely sensitive to lattice aperiodicity.
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