Magnetoplasmon-Polariton Modes of Finite Cantor-Type Heterostructures

By using local theory and taking into account retardation, we investigate the plasmonpolariton modes of a finite Cantor-type heterostructures which are composed of two alternating materials with their thicknesses following Cantor sequence. The effects of an external magnetic field applied parallel to the interfaces are considered. We find that the modes have fractal structure due to the special geometry of the system, and the dispersion relations of the modes are strikingly modified by the external magnetic field. Some new modes appear because of the application of the field. By plotting the profiles of the amplitudes of the electric field, we also investigate the localization properties of the modes.