Effect of damping on Goos–Hänchen shift from weakly absorbing anisotropic metamaterials

Abstract

The effect of damping on the Goos–Hänchen (GH) shift from weakly absorbing anisotropic metamaterials is investigated. Explicit formulas of the GH shifts are derived and analyzed at three particular angles of incidence: critical angle, pseudo-Brewster angle, and grazing incidence, near which the reflection phases exhibit strong variations and large GH shifts are likely to occur. The damping in the anisotropic metamaterials may result in GH shifts not available in ordinary isotropic media. In particular, a larger GH shift can be associated with a larger rather than a smaller damping, and a small change of damping may even reverse the direction of the GH shift near the pseudo-Brewster angle. This feature is characterized by a parabolic relation determined by the complex components of the permittivity tensor. The GH shifts are also illustrated with the incidence of Gaussian beams based on Fourier integral formulation.