Metadispersion for a cascade of planar periodic structures

This work proposes an innovative method for the characterization of dispersion in metamaterials consisting of stacks of planar periodic surfaces. The analysis procedure separates the artificial material into its constituent planes, performs a full wave analysis of the individual planar periodic structures and uses analytic formulas from Bloch theory to determine the dispersion characteristics of the overall artificial medium. Physical properties of the equivalent admittance matrix modeling the single planar sheets are exploited to analytically describe the dispersion properties of the metamaterial in the whole irreducible Brillouin zone starting from a limited number of full-wave simulations.