Explicit Fresnel formulae for the absorbing double-negative metamaterials

Abstract: We inspect the optical properties of dissipative double-negative metamaterials (DNMM) and find explicit expression for the total reflection angle and the correct Fresnel formulae describing the reflection and refraction for the DNMM at the oblique incident of the electromagnetic wave on the interface for \textit{TE} as well as \textit{TM} electromagnetic wave polarization. The reflectivity and transmissivity of DNMM film embedded in a positive refraction index (PIM) surrounding are presented and discussed.