Negative refraction at various crystal interfaces

In an anisotropic positive index media the tangential components of Poynting vector S and that of wavevector k can have the opposite signs under certain conditions. The phenomenon is called as the anomalous negative refraction. The negative refraction phenomenon at planar interfaces between isotropic medium-crystal and crystal-crystal media has been analyzed. The crystals can be both uniaxial axis and biaxial axis and the azimuth of optical axis can be arbitrary. The negative refraction phenomenon under various azimuth of optical axis is analyzed. The phenomena can be very evident if the optical axis angle is arranged appropriately. The optimal conditions are obtained. For strong anisotropy crystal, the maximum incident angle that yields the negative refraction and the bending angle could be very large. For the interface of biaxial crystal the anisotropy parameter of crystal u1 = nz/nx plays a dominant role in effect on negative refraction.