Cited by 639Orbital Angular Momentum in OpticsOptical Polarization and EllipsometryQuantum and Classical Electrodynamics

Goos–Hänchen and Imbert–Fedorov beam shifts: an overview

Open access
Bliokh, K Y, Aiello, A·2013·Journal of Optics

Abstract

We consider reflection and transmission of polarized paraxial light beams at a plane dielectric interface. The field transformations taking into account a finite beam width are described based on the plane-wave representation and geometric rotations. Using geometrical-optics coordinate frames accompanying the beams, we construct an effective Jones matrix characterizing spatial-dispersion properties of the interface. This results in a unified self-consistent description of the Goos–Hänchen and Imbert–Fedorov shifts (the latter being also known as the spin Hall effect of light). Our description reveals the intimate relation of the transverse Imbert–Fedorov shift to the geometric phases between constituent waves in the beam spectrum and to the angular momentum conservation for the whole beam. Both spatial and angular shifts are considered as well as their analogues for higher-order vortex beams carrying intrinsic orbital angular momentum. We also give a brief overview of various extensions and generalizations of the basic beam-shift phenomena and related effects.

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Integrity signals

Registry

Crossref · 10.1088/2040-8978/15/1/014001

Cites

169 of 169 references verified0 citation errors · 0 not checkable

Statistics

Claims the paper makes

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Claims other papers make about this one

Each is checked against this paper’s own text: does it say what the citing paper says it does?

  • A circularly polarized laser beam reflected or refracted at a dielectric interface experiences a tiny transverse spin-dependent shift out of the plane of incidence.

    “(i) A circularly polarized laser beam reflected or refracted at a dielectric interface does not propagate in the original plane but experiences a tiny transverse spin-dependent shift out of this plane.”

    From Spin–orbit interactions of light (2015) · cites this paper as [19]

Self-check

Percentages, sums and reported differences re-computed from the paper’s own numbers.

The self-check needs the paper’s full text.

Cites

Flagged first, then by citations

Research works printed but not linked: 9

  1. Fedorov F I 1955 Dokl. Akad. Nauk SSSR 105 465 English translation is available at http://master.basnet.by/ congress2011/symposium/spbi.pdf
  2. Bekshaev A Y and Popov A Y 2002 Ukr. J. Phys. Opt. 3 249 · DOI
  3. Shapere A and Wilczek F 1989 Geometric Phases in Physic (Singapore: World Scientific)
  4. Zhou X et al 2012 arXiv:1208.1168 · arXiv
  5. Wang H and Zhang X 2011 Phys. Rev. A 83 053820 · DOI
  6. Duval C, Horváthy P A and Zhang P M 2012 arXiv:1202. 2430
  7. Bliokh K Y, Frolov D Y and Kravtsov Y A 2007 Phys. Rev. A 75 053821 · DOI · Paper page
  8. Aiello A et al 2009 Phys. Rev. Lett. 103 100401 · DOI
  9. Bekshaev A Y 2009 J. Opt. A: Pure Appl. Opt. 11 094003 · DOI · Paper page

Cited by

Sorted by citations

Authors
Bliokh, K. Y., & Aiello, A.
Affiliations
  • Ollscoil na Gaillimhe – University of Galway (IE)
  • Friedrich-Alexander-Universität Erlangen-Nürnberg (DE)
Corresponding author
Bliokh, K Y
Venue
Journal of Optics
Published
2013-01-01
Volume
15
Issue
1
Pages
014001
ISSN
  • 0150-536X (ISSN-L)
  • 2040-8978
  • 2040-8986
OpenAlex
W2005657129
Cited by
639
References
169
Citations by year
2026: 53 · 2025: 66 · 2024: 62 · 2023: 57 · 2022: 63 · 2021: 55 · 2020: 45 · 2019: 48 · 2018: 52 · 2017: 33 · 2016: 36 · 2015: 28 · 2014: 21 · 2013: 20
FWCI
18.00
Type
journal article
Language
en
Open access
Locations
  • Journal of Optics (publishedVersion)
  • arXiv (Cornell University) (submittedVersion)
  • ARAN (University of Galway Research Repository) (Ollscoil na Gaillimhe – University of Galway) (submittedVersion, cc-by-nc-nd)
  • Arrow@dit (Dublin Institute of Technology) (submittedVersion)
  • MPG.PuRe (Max Planck Society) (submittedVersion)
  • University of Galway Research Repository (submittedVersion, cc-by-nc)
  • arXiv (Cornell University)
  • Research Repository UCD (University College Dublin) (cc-by-nc)
Funders
  • European Commission
  • Science Foundation Ireland (07/IN.1/I906)
Topics
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Orbital Angular Momentum in Optics
  • Physical Sciences › Engineering › Biomedical Engineering › Optical Polarization and Ellipsometry
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum and Classical Electrodynamics
Keywords
Goos-Hänchen shift, Imbert-Fedorov shift, spin Hall effect of light, beam shift, Jones matrix, spatial dispersion, Berry phase, orbital angular momentum, optical vortices, angular momentum conservation, plane wave representation

About these checks

Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.

Statistics and arithmetic are recomputed, not judged.

Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.

What counts as a claim ›How we measure confidence ›How we check this ›

Are you an author, or do you see a problem with this page? Request a review