An incident-direction-selective transmission filter based on anisotropic metamaterial

We construct an incident-direction-selective transmission filter based on anisotropic metamaterial, and explore the possibility of complete tunneling when elements of permittivity and permeability tensors of the anisotropic metamaterial are totally or partially negative. We first deduce the expressions of field distribution, reflection and transmission amplitudes in our filter and then study the influence of anisotropic metamaterial on the tunneling incident angle of light, including seven subcases of different combinations of positive and negative permittivity and permeability components. At last we conclude the principle of appearance of complete tunneling.