Effect of plasma waves on the optical properties of a multilayered metallic Fibonacci superlattice.

Abstract

Within the hydrodynamic model of electron dynamics, the optical properties of a metallic Fibonacci superlattice have been studied for the region of p-polarized soft x rays and the extreme ultraviolet. By using the 4 x 4 transfer-matrix formalism and taking into account retardation effects and the coupling between transverse and longitudinal waves at the metal boundaries, we have discussed the electromagnetic normal modes for the quasiperiodic superlattice in the rational approximation. We found that the dispersion curves are mainly of two types, and, similar to the reflectivities, both the real and imaginary parts of the dispersion-relation pattern have a rich structure of self-similarity. With increasing generation number, the electromagnetic modes all become critical.