The properties of electromagnetic waves in two-dimensional periodic structures created by alternating metal and dielectric layers are investigated. The structure is assumed to be finite in the direction normal to the layers and infinite in other directions. Dispersion relations for both TE- and TM-polarized eigenmodes of metal-dielectric superlattice have been analyzed. It is demonstrated that the dispersion show typical properties of optic Tamm states.
We study all-evanescent eigenmodes of a one-dimensional infinite periodic structure with alternating left-handed and right-handed materials that propagate perpendicularly to the surface or guided eigenmodes. Investigation of dispersion properties of such Bloch modes is shown to be crucial for understanding of an efficient radiation energy transport across the periodic multilayer structure. Frequency pass bands and gaps are found as a function of the two orthogonal wave vectors: the Bloch wave vector k_B and the surface wave vector k_S. We demonstrate that pass bands of both TE- and TM-polarizations can exist and, under certain conditions, may overlap.
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