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Metamaterials, made in form of periodically arranged metal and dielectric cylindrical inclusions, have been investigated on the basis of the integral equation method, based on periodic Green's function. Metal rods are described in terms of complex permittivity [see manuscript]. Along the rods terahertz and infrared waves propagate substantially with the speed of light c and small losses weakly depending on the transverse wave number, whereas in the optical range, in particular in the shortwave part of a spectrum, they turn into the slow -waves of a dielectric waveguide.

Space-time dispersion and waveguide properties of 2D periodic metallic rod photonic crystals