Effect of a charge layer on the plasmon-polariton dispersion curve in doped semiconductor superlattices

We consider the effects of a charge layer (accumulation and depletion layers) on the spectrum of collective plasmon-polariton modes of a semiconductor superlattice consisting of alternating mediaA andB, where mediumA is an-doped semiconductor and mediumB an insulator. The effect of the charge layer is taken into account assuming a linear position dependence for the free-carrier concentration and for the dielectric function, within mediumA. Applications are made considering mediumA asn-type semiconductor and mediumB being vacuum. We compare our results with those obtained in the abscence of the charge layer and we discuss their differences.