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This paper presents a numerical procedure applied to the modeling of double negative metamaterial (MTM) structures. At the unit-cell level, the properties of the MTM are described by the extracted isotropic constitutive parameters, dispersion diagrams, and higher order modes analysis. The information gathered at the unit-cell level is used to characterize and homogenize the MTM macrostructure. By comparison of the simulation results for the effective and detailed macrostructures models, the applicability of this approach is confirmed and the significant savings of numerical costs are pointed out.