New types of surface waves on hyperbolic metasurface

We reveal the existence of a new types of surface electromagnetic waves supported by hyperbolic metasurface, described by a local diagonal anisotropic conductivity tensor. We present a comprehensive analysis of the dispersion and the equal frequency contours of surface waves propagating along hyperbolic metasurface. We demonstrate that the spectrum of the hyperbolic metasurface waves consists of two branches corresponding to hybrid transverse electric-transverse magnetic waves with a polarization that varies from linear to elliptic or circular depending on the wave frequency and propagation direction.