Oblique section of a paraxial light beam: criteria for azimuthal energy flow and orbital angular momentum
Abstract
Comparison of the intensity distributions in a transverse cross section, orthogonal to the beam propagation axis, and in an oblique section, inclined to the axis by some acute angle, provides information about the transverse energy flows in the beam, in particular, the transverse energy circulation. The beam intensity pattern in an oblique section differs from the 'geometric-optics' expectations, which can be quantitatively described by the corresponding shift of the beam 'centre of gravity'. Measurements of this shift can be used for the study and characterization of the transverse energy flows and for evaluation of the beam orbital angular momentum. Situations in which the intensity distribution in oblique sections plays an important role occur in the beam transformation at a diffraction grating (in non-zero diffraction orders) and even at the beam propagation through a reflecting boundary. An optical vortex generation with the help of a hologram possessing a 'fork' structure supplies a special case of such a situation.
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The Berry phase and spin Hall effect allow immediate generalizations to the case of higher-order beams with vortices bearing intrinsic orbital angular momentum.
“Likewise the angular Doppler shift [72 -80] and the Imbert -Fedorov shift [124 -129], the Berry phase and spin Hall effect allow immediate generalizations to the case of higher-order beams with vortices bearing intrinsic orbital angular momentum [119,130 -135] (see also [84,90]).”
From Geometrodynamics of polarized light: Berry phase and spin Hall effect in a gradient-index medium (2009) · cites this paper as [134]
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References 32 · Cited by 47
- Authors
- Bekshaev, A. Y.
- Corresponding author
- Bekshaev, A Ya
- ORCID
- Bekshaev, A Ya
- Venue
- Journal of Optics A: Pure and Applied Optics
- Publisher
- IOP Publishing
- Published
- 2009-08-04
- Volume
- 11
- Issue
- 9
- Pages
- 094003
- ISSN
- 1464-4258 (ISSN-L)
- 1741-3567
- OpenAlex
- W2118089923
- Cited by
- 47
- References
- 32
- Citations by year
- 2026: 1 · 2025: 2 · 2023: 2 · 2022: 3 · 2021: 2 · 2020: 4 · 2019: 2 · 2018: 2 · 2017: 2 · 2016: 1 · 2015: 2 · 2014: 4 · 2013: 3 · 2012: 8
- FWCI
- 3.16
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Journal of Optics A Pure and Applied Optics (publishedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Orbital Angular Momentum in Optics
- Physical Sciences › Engineering › Electrical and Electronic Engineering › Optical Systems and Laser Technology
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Laser-Matter Interactions and Applications
- Keywords
- oblique section, transverse energy flow, orbital angular momentum, intensity distribution, diffraction gratings, reflecting boundary conditions, optical vortex generation, holograms
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