Are Fresnel filtering and the angular Goos–Hänchen shift the same?

Abstract

Abstract. The law of reflection and Snell's law are among the tenets of geometrical optics. Corrections to these laws in wave optics are respectively known as the angular Goos-Hänchen shift and Fresnel filtering. In this paper we give a positive answer to the question of whether the two effects are common in nature and we study both effects in the more general context of optical beam shifts. We find that both effects are caused by the same principle, but have been defined differently. We identify and discuss the similarities and differences that arise from the different definitions.

Dielectric microcavities: Model systems for wave chaos and non-Hermitian physics

“…For the case of reflection the beam shift is called angular Goos-Hänchen shift (Chan and Tamir, 1985;Ra et al, 1973) and for the case of transmission Fresnel filtering (FF) . There are subtle differences in the precise definition of FF and angular Goos-Hänchen shift which are of no relevance for the discussion here; see (Götte et al, 2013) for a comprehensive comparison.…”

Axial dependence of optical weak measurements in the critical region

“…This shift, which is probably one of the clearest manifestations of the evanescent nature of light, represents an additional contribution to the geometrical optical path predicted by the Snell law [13,14]. This quantum effect is still subject of careful and broad investigation and continues to stimulate new discussions [15][16][17][18][19][20][21][22]. Of particular interest tothe study presented in this paper, it is the GH shift frequency crossover [23].…”

The frequency crossover for the Goos–Hänchen shift

“…This phenomenon refers to the lateral shift of a totally reflected beam with respect to the optical path expected from geometrical optics. For an interesting overview of the effect and its generalizations, we suggest the references [11,12]. The fact that total reflection does not take place at the spatial point predicted by the geometrical optics, see Fig 1a, was discovered by Newton [13] which proposed that the path during total reflection is a parabola, the vertex being within the rarer medium.…”