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Cited by 368Orbital Angular Momentum in OpticsOptical Polarization and EllipsometryNear-Field Optical Microscopy

Role of beam propagation in Goos–Hänchen and Imbert–Fedorov shifts

Open access
Aiello, A., Woerdman, J. P.·2008·Optics Letters
DOI 10.1364/ol.33.001437
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Abstract

We derive the polarization-dependent displacements parallel and perpendicular to the plane of incidence for a Gaussian light beam reflected from a planar interface, taking into account the propagation of the beam. Using a classical-optics formalism we show that beam propagation may greatly affect both Goos-Hänchen and Imbert-Fedorov shifts when the incident beam is focused.

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Integrity signals

Registry

Crossref · 10.1364/ol.33.001437

Cites

16 of 16 references verified0 citation errors · 0 not checkable

Statistics

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  • In a gradient-index medium, the trajectory of light is described by equations of motion whose last term describes the transverse spin-dependent displacement (spin-Hall effect of light).

    “The last term in Eq. (1) describes the transverse spin-dependent displacement of the trajectory, i.e., the spin-Hall effect of light (Fig. 1a).”

    From Spin–orbit interactions of light (2015) · cites this paper as [17]

    The paper describes the transverse Imbert–Fedorov shift at a planar interface and identifies a related spin-dependent photon displacement with the spin Hall effect of light (pp. 1, 3). It does not describe light trajectories in a gradient-index medium or a final term in an equation of motion; its equations concern reflected beams. (LLM, conf=0.86)

    Experimental — accuracy not yet measured

  • 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 [17]

  • In a glass cylinder, the spin-Hall effect for a helical light trajectory produced a difference between the positions of right-hand and left-hand circularly-polarized beams of several wavelengths, accumulated along several coils.

    “Figures 1a,b show an example of the spin-Hall effect measured for the helical trajectory of light inside a glass cylinder 17 . The difference between the positions of the right-hand and lefthand circularly-polarized beams ( σ = ± 1) achieved several wavelengths, which was accumulated along several coils of the trajectory.”

    From Spin–orbit interactions of light (2015) · cites this paper as [17]

    The paper describes reflection from a planar interface and polarization-dependent beam shifts (p. 1), and discusses propagation-based enhancement of a spin-Hall-effect measurement (pp. 1–3). Searches for a helical trajectory, glass cylinder, several coils, and a separation of several wavelengths found no passage addressing the claimed experiment. (LLM, conf=0.78)

    Experimental — accuracy not yet measured

  • The helicity-dependent term in the equations of motion can be considered as a Lorentz force produced by the Berry curvature acting in momentum space.

    “Later, it was shown that the helicity-dependent term in Eq. (1) can be considered as a 'Lorentz force' produced by the Berry curvature F σ P ( ) acting in momentum space 7,13,14,17 (Box 2).”

    From Spin–orbit interactions of light (2015) · cites this paper as [17]

    The paper’s summary (p. 3) describes classical-optics expressions for beam shifts and a classical interpretation of a spin Hall effect measurement. Neither that passage nor the passages retrieved by searching for Berry curvature, a Lorentz force, helicity, and equations of motion address the claimed momentum-space mechanism. (LLM, conf=0.75)

    Experimental — accuracy not yet measured

  • A number of experiments observed spin-orbit coupling and polarization transport of light in complex speckle fields of multimode optical fibers.

    “There had been a number of remarkable experiment [120 -123] which observed the spin-orbit coupling and polarization transport of light in complex speckle fields of multimode optical fibers (see also [24]),”

    From Geometrodynamics of polarized light: Berry phase and spin Hall effect in a gradient-index medium (2009) · cites this paper as [123]

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Cites

Flagged first, then by citations

Research works printed but not linked: 5

  1. [3]3. O. Costa de Beauregard and C. Imbert. Phys. Rev. Lett. , 28(18):1211, 1972.
  2. [4]4. C. Imbert. Phys. Rev. D , 5(4):787, 1972.
  3. [5]5. F. Pillon, H. Gilles, and S. Girard. Appl. Opt. , 43(9):1863, 2004.
  4. [8]8. H. M. Lai, C. W. Kwok, Y. W. Loo, and B. Y. Xu. Phys. Rev. E , 62(5):7330, 2000.
  5. [15]15. H. A. Haus and J. L. Pan. Am. J. Phys. , 61(9):818, 1993.

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Related

Authors
Aiello, A., & Woerdman, J. P.
Affiliations
Leiden University (NL)
ORCID
Aiello, A.
Venue
Optics Letters
Publisher
Optica Publishing Group
Published
2008-06-23
Volume
33
Issue
13
Pages
1437
ISSN
  • 0146-9592 (ISSN-L)
  • 1539-4794
DOI
10.1364/ol.33.001437
OpenAlex
W2109256912
Cited by
368
References
16
Citations by year
2026: 23 · 2025: 21 · 2024: 20 · 2023: 19 · 2022: 21 · 2021: 21 · 2020: 25 · 2019: 26 · 2018: 20 · 2017: 20 · 2016: 18 · 2015: 17 · 2014: 21 · 2013: 22 · 2012: 25
FWCI
9.48
Type
journal article
Language
en
Open access
Licence
Locations
  • Optics Letters (publishedVersion)
  • PubMed (publishedVersion)
  • arXiv (Cornell University) (submittedVersion)
  • Deep Blue (University of Michigan) (submittedVersion)
  • arXiv (Cornell University)
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 › Engineering › Biomedical Engineering › Near-Field Optical Microscopy
Keywords
Goos-Hänchen shift, Imbert-Fedorov shift, beam propagation, Gaussian beam, focused beams, classical optics, beam deflection

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