Goos-Hänchen shift

An extremely simple derivation of the Goos-Hänchen shift is presented for total internal reflection at a plane interface between two semiinfinite dielectric media, as well as for optical waveguides of plane arid circular cross section. The derivation is based on energy considerations, requires knowledge of Fresnel's equation only, and shows explicitly that the shift is due to the flow of energy across the dielectric boundary.