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

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Toeppel,  Falk
Optics Theory Group, Leuchs Division, Max Planck Institute for the Science of Light, Max Planck Society;

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Ornigotti,  Marco
Optics Theory Group, Leuchs Division, Max Planck Institute for the Science of Light, Max Planck Society;

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Aiello,  Andrea
Optical Quantum Information Theory, Leuchs Division, Max Planck Institute for the Science of Light, Max Planck Society;

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Citation

Toeppel, F., Ornigotti, M., & Aiello, A. (2013). Goos-Hanchen and Imbert-Fedorov shifts from a quantum-mechanical perspective. NEW JOURNAL OF PHYSICS, 15: 113059. doi:10.1088/1367-2630/15/11/113059.


Cite as: https://hdl.handle.net/11858/00-001M-0000-002D-66E3-4
Abstract
We study the classical optics effects known as Goos-Hanchen and Imbert-Fedorov 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-versus-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 extend our treatment to the enhancement of beam shifts via weak measurements and relate our results to the recent experiments.