Properties of ROD and plane-layered hyperbolic metamaterials

The hyperbolic metamaterials in the form of a long (infinite) metal pins in the background dielectric and plane-layered metal-dielectric heterostructures have been considered. The method of integral equations (volume and surface) and the method of transfer matrix for layered structures have been applied for analysis. The modifications of the transfer matrix method for periodic and quasiperiodic structures transfer matrices are presented. The solutions of the dispersion equations and the diffraction problems for finite structures are obtained. Hyperbolic dispersion law is considered in the case of the losses in the metal. In this case, there is a limit on the modulus of the wave vector. It is shown that in the structures the waves of infrared and terahertz bands propagate along the pins or layers with low losses and speed, not much different from the speed of light. Transverse to the layers waves are strongly reflected, and the structure is a thermal screen.