Electromagnetic field quantization and input-output relation for anisotropic magnetodielectric metamaterial

A phenomenological quantization of electromagnetic field is introduced in the presence of the anisotropic magnetodi- electric metamaterial. For a single layer structure with the anisotropic metamaterial, input-output relations of quantized radiation are derived using the Green-function approach. Based on these relations, the reflectance of the linearly polarized wave through this structure is calculated. The results show that different resonant peaks of reflectance appear for different polarized waves and indicate the use of the anisotropic metamaterial as a reflector for a certain polarized wave. Furthermore it is found that such a structure can realize the resonant gap with the increase of the thickness. Finally the effects of the absorption are considered and we find that the above properties do not change with the introduction of the absorption.