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

We study the classical optics effects known as Goos–Hänchen 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...

Full description

Bibliographic Details
Main Authors: Falk Töppel, Marco Ornigotti, Andrea Aiello
Format: Article
Language:English
Published: IOP Publishing 2013-01-01
Series:New Journal of Physics
Online Access:https://doi.org/10.1088/1367-2630/15/11/113059
_version_ 1797751741701160960
author Falk Töppel
Marco Ornigotti
Andrea Aiello
author_facet Falk Töppel
Marco Ornigotti
Andrea Aiello
author_sort Falk Töppel
collection DOAJ
description We study the classical optics effects known as Goos–Hänchen 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.
first_indexed 2024-03-12T16:53:02Z
format Article
id doaj.art-d052f8e1d74c43f792dd4414be69d4f8
institution Directory Open Access Journal
issn 1367-2630
language English
last_indexed 2024-03-12T16:53:02Z
publishDate 2013-01-01
publisher IOP Publishing
record_format Article
series New Journal of Physics
spelling doaj.art-d052f8e1d74c43f792dd4414be69d4f82023-08-08T11:06:18ZengIOP PublishingNew Journal of Physics1367-26302013-01-01151111305910.1088/1367-2630/15/11/113059Goos–Hänchen and Imbert–Fedorov shifts from a quantum-mechanical perspectiveFalk Töppel0Marco Ornigotti1Andrea Aiello2Max Planck Institute for the Science of Light , Günther-Scharowsky-Straße 1/Building 24, D-91058 Erlangen, Germany; Institute for Optics, Information and Photonics, Universität Erlangen-Nürnberg , Staudtstraße 7/B2, D-91058 Erlangen, Germany; Erlangen Graduate School in Advanced Optical Technologies (SAOT), Paul-Gordan-Straße 6, D-91052 Erlangen, GermanyMax Planck Institute for the Science of Light , Günther-Scharowsky-Straße 1/Building 24, D-91058 Erlangen, Germany; Institute for Optics, Information and Photonics, Universität Erlangen-Nürnberg , Staudtstraße 7/B2, D-91058 Erlangen, GermanyMax Planck Institute for the Science of Light , Günther-Scharowsky-Straße 1/Building 24, D-91058 Erlangen, Germany; Institute for Optics, Information and Photonics, Universität Erlangen-Nürnberg , Staudtstraße 7/B2, D-91058 Erlangen, GermanyWe study the classical optics effects known as Goos–Hänchen 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.https://doi.org/10.1088/1367-2630/15/11/113059
spellingShingle Falk Töppel
Marco Ornigotti
Andrea Aiello
Goos–Hänchen and Imbert–Fedorov shifts from a quantum-mechanical perspective
New Journal of Physics
title Goos–Hänchen and Imbert–Fedorov shifts from a quantum-mechanical perspective
title_full Goos–Hänchen and Imbert–Fedorov shifts from a quantum-mechanical perspective
title_fullStr Goos–Hänchen and Imbert–Fedorov shifts from a quantum-mechanical perspective
title_full_unstemmed Goos–Hänchen and Imbert–Fedorov shifts from a quantum-mechanical perspective
title_short Goos–Hänchen and Imbert–Fedorov shifts from a quantum-mechanical perspective
title_sort goos hanchen and imbert fedorov shifts from a quantum mechanical perspective
url https://doi.org/10.1088/1367-2630/15/11/113059
work_keys_str_mv AT falktoppel gooshanchenandimbertfedorovshiftsfromaquantummechanicalperspective
AT marcoornigotti gooshanchenandimbertfedorovshiftsfromaquantummechanicalperspective
AT andreaaiello gooshanchenandimbertfedorovshiftsfromaquantummechanicalperspective