Plasmon Polaritons of the TE and TM Types in a Metal Film Bordering a Superlattice. I: Properties of Impedances of Semi-Infinite Media and Films

The TE- and TM-polarized surface plasmon polaritons in a metal film placed between a periodic superlattice and a homogeneous dielectric or between two periodic superlattices have been theoretically investigated. Dispersion equations are derived in the form of the equality to zero of the determinant of a real symmetric matrix composed of the surface impedances of the media and film. Some general properties of the impedances and eigenvalues of the matrices entering the dispersion equations are established.