Goos-Hänchen effect of an extraordinary refracted beam

Abstract

As known, when there is total reflection on an isotropic or anisotropic interface, the reflected ray undergoes a displacement on the interface that has been studied by a great number of authors. However, if an isotropic-uniaxial interface is considered, the condition of total reflection for one of the refracted rays can be fulfilled whereas the other subsists as a propagating wave. This leads to the existence of a complex displacement of the propagating refracted beam maximum that can never take place in linear isotropic interfaces. We analyse this displacement up to second order and its relationship with the phase shifts which the waves that synthesize the extraordinary propagating beam suffer under conditions of ordinary total reflection. We compare these first order non-geometric effects with those which an ordinary transmitted beam undergoes in conditions of extraordinary total reflection.