Abstract
We present a method to determine the effective parameters of a periodic structure with small spacing. This technique is analogous to the averaged boundary condition method applied to planar periodic structures. The effective permittivity of a structure from parallel wires with dielectric and magnetic coating was obtained. It contains an effective plasma frequency and some parameter that is responsible for the spatial dispersion. The dependences of these parameters on electromagnetic and geometric characteristics of structure were analysed. Particularly, it was shown that the role of spatial dispersion decreases if we increase both the coating permittivity and the coating permeability. The magnetic coating is more effective for the taming of spatial dispersion. However, the dielectric coating provides essential taming as well, and it is simpler to fabricate than the magnetic coating. Further, different types of plane waves in the metamaterial under consideration were analysed. In particular, it was shown that, in contrast to the ordinary crystal, there are three types of waves: an ordinary wave and two types of extraordinary waves.
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