Coupled Optical Interface Modes in a Thue-Morse Dielectric Superlattice

Abstract

We study the coupled optical interface modes in a Thue-Morse dielectric superlattice. Based on the electrostatic continuum approximation, which is correct in the long wavelength limit, the transfer matrix method is used to derive the analytic expressions for frequency spectra and electrostatic potential distributions. The numerical calculations show that the frequency spectra are singular continuous, and the potential profiles are mostly extended and lattice-like. The common features and pronounced differences with coupled optical interface modes in periodic and Fibonacci dielectric superlattices as well as with electrons and acoustic phonons in Thue-Morse structures are exposed. Furthermore, the possibility of experimental observation is discussed.