  We investigate the wave propagation in the anisotropic metamaterial with
single-sheeted hyperboloid dispersion relation. Based on boundary conditions
and dispersion relations, we find that the opposite amphoteric refraction, such
that E- (or H-) polarized waves are positively refracted whereas H- (or E-)
polarized waves are negatively refracted, can occur at the interface associated
with the anisotropic metamaterial. Under a certain condition, both E- and
H-polarized waves can exhibit the same single-sheeted hyperboloid or straight
dispersion relation, while the two polarized waves exhibit different
propagation characteristics. We expect some potential device applications can
be derived based on based on the unique amphoteric refraction properties.
