Effective medium model for two-dimensional periodic arrays of carbon nanotubes

We present a simple analytical model for description of electromagnetic wave properties of two-dimensional periodic arrays of carbon nanotubes (CNTs). This model is based on the effective medium theory of wire media and takes into account both quantum properties of carbon nanotubes and electromagnetic interaction between CNTs. Applicability of the theory was verified using the numerical model, based on Green's function method. We discuss electromagnetic waves propagation in finite-thickness slabs of aligned carbon nanotubes arranged in plane of the slab. We demonstrate that these waves are characterized by the hyperbolic-type dispersion.