Goos-Hänchen and Imbert-Fedorov shifts from a quantum-mechanical perspective

Abstract

We study the classical optics effects known as Goos-Hänchen (GH) and Imbert-Fedorov (IF) shifts, occurring when reflecting a bounded light beam from a planar surface, by using a quantum-mechanical formalism. This new approach allows us to naturally separate the spatial shift into two parts, one independent on orbital angular momentum (OAM) and the other one showing OAM-induced spatial-vs-angular shift mixing. In addition, within this quantum-mechanical-like formalism, it becomes apparent that the angular shift is proportional to the beams angular spread, namely to the variance of the transverse components of the wave vector. Moreover, we extent our treatment to the enhancement of beam shifts via weak measurements and relate our results to recent experiments.

16 pages, 1 figure

References in corpus (9)

• Conservation of Angular Momentum, Transverse Shift, and Spin Hall Effect in Reflection and Refraction of Electromagnetic Wave Packet
• Role of beam propagation in Goos-Hänchen and Imbert-Fedorov shifts
• Complex weak values in quantum measurement
• Observation of Goos-Hänchen shifts in metallic reflection
• Polarization, transverse shifts, and angular momentum conservation laws in partial reflection and refraction of an electromagnetic wave packet
• Goos-Hänchen and Imbert-Fedorov shifts of polarized vortex beams
• The analogy between optical beam shifts and quantum weak measurements
• Generalized shifts and weak values for polarization components of reflected light beams
• Theory of angular Goos-Hänchen shift near Brewster incidence

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• Quantum computation with classical light: implementation of the Deutsch-Jozsa Algorithm
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• Anomalous time delays and quantum weak measurements in optical micro-resonators
• Observing angular deviations in light beam reflection via weak measurements
• Goos-Hänchen and Imbert-Fedorov Shifts for Airy Beams
• Goos-Hänchen and Imbert-Fedorov shifts for paraxial X-Waves
• Goos-Hänchen and Imbert-Fedorov Shifts for Epsilon-Near-Zero Materials
• Cross-polarization extinction enhancement and spin-orbit coupling of light for quantum-dot cavity-QED spectroscopy
• On anomalous optical beam shifts at near-normal incidence
• Dynamical Signatures of Chaos to Integrability Crossover in $2\times 2$ Generalized Random Matrix Ensembles
• Spin-Orbit Interactions of Light: Fundamentals and Emergent Applications
• Scattering of relativistic electrons and analogies with optical phenomena: A study of longitudinal and transverse shifts at step potentials
• Tunable giant two-dimensional optical beam shift from a tilted linear polarizer
• Wigner time delays and Goos-Hänchen shifts of 2D quantum vortices scattered by potential barriers
• Dynamic and Geometric Shifts in Wave Scattering
• Polarization effects on high contrast imaging: measurements on THD2 Bench
• Transverse Shifts and Time Delays of Spatiotemporal Vortex Pulses Reflected and Refracted at a Planar Interface
• Controllable spin-Hall and related effects of light in an atomic medium via coupling fields
• Second-order nonlocal shifts of scattered wave-packets: What can be measured by Goos-Hänchen and Imbert-Fedorov effects ?