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As an example of thin composite layers we consider single and double grids ofperiodically arranged interacting wires loaded with a certain distributedreactive impedance. Currents induced to the wires by a normally incident planewave are rigorously calculated and the corresponding dipole moment densitiesare determined. Using this data and the averaged fields we assign mesoscopicmaterial parameters for the proposed grid structures. These parameters dependon the number of grids, and measure the averaged induced polarizations. It isdemonstrated that properly loaded double grids possess polarization responsethat over some frequency range can be described by assigning negative valuesfor the mesoscopic parameters. Discussion is conducted on the physicalmeaningfulness to assign such material parameters for thin composite slabs. Theresults predicted by the proposed method for the double-grid structures arecompared with the results obtained using the commonly adopted S-parameterretrieval procedure.

Mesoscopic effective material parameters for thin layers modeled as single and double grids of interacting loaded wires