Negative refraction in anisotropic metamaterials

In this paper we analyse the self-propagation of electromagnetic modes within an uniaxial non-absorbing metamaterial with anisotropic electric permittivity and anisotropic magnetic pemeability, for arbitrary values of the anisotropy ratios e?/e? and mu?/mu?. We then solve the problem of refraction and reflection from a flat interface of this material when the interface is perpendicular to the optical axis. We establish the general conditions under which negative refraction occurs and study some properties of refraction, reflection and their potential applications.