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

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.

16 pages (IOP draft style), 5 figures, accepted for publication in special issue of Journal of Optics on 'Beam shifts'

References in corpus (9)

• How orbital angular momentum affects beam shifts in optical reflection
• Goos-Hänchen and Imbert-Fedorov shifts of polarized vortex beams
• Duality Between Spatial and Angular Shift in Optical Reflection
• The analogy between optical beam shifts and quantum weak measurements
• Generalized shifts and weak values for polarization components of reflected light beams
• Correcting ray optics at curved dielectric microresonator interfaces: Phase-space unification of Fresnel filtering and the Goos-Haenchen shift
• Non-Hamiltonian dynamics in optical microcavities resulting from wave-inspired corrections to geometric optics
• Theory of angular Goos-Hänchen shift near Brewster incidence
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Cited by in corpus (9)

• Spin-Hall effect of light at a tilted polarizer
• The oscillatory behavior of light in the composite Goos-Haenchen shift
• The frequency crossover for the Goos-Hanchen shift
• Axial dependence of optical weak measurements in the critical region
• Maximal breaking of symmetry at critical angle and closed form expression for angular deviations of the Snell law
• Lateral shifts and angular deviations of Gaussian optical beams reflected by and transmitted through dielectric blocks: A tutorial review
• Optimizing weak measurements to detect angular deviations
• Optical weak measurements without removing the Goos-Haenchen phase
• Angular deviations: From a cubic equation to a universal closed formula to determine the peak position of reflected and (upper) transmitted beams