The DOI matches its Crossref record; 20 of the 20 references it cites were found in a registry or an index.
The Adiabatic Phase and Pancharatnam's Phase for Polarized Light
Abstract
In 1955 Pancharatnam showed that a cyclic change in the state of polarization of light is accompanied by a phase shift determined by the geometry of the cycle as represented on the Poincaré sphere. The phase owes its existence to the non-transitivity of Pancharatnam's connection between different states of polarization. Using the algebra of spinors and 2 × 2 Hermitian matrices, the precise relation is established between Pancharatnam's phase and the recently discovered phase change for slowly cycled quantum systems. The polarization phase is an optical analogue of the Aharonov-Bohm effect. For slow changes of polarization, the connection leading to the phase is derived from Maxwell's equations for a twisted dielectric. Pancharatnam's phase is contrasted with the phase change of circularly polarized light whose direction is cycled (e.g. when guided in a coiled optical fibre).
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In the citing paper
“This effect is known as the spin Hall effect of light or optical Magnus effect [24 -35]”
From Geometrodynamics of polarized light: Berry phase and spin Hall effect in a gradient-index medium (2009) · cites this paper as [25]
In the citing paper
“In particular, it induces an additional term in the equations of motion (ray equations) which describes a polarization-dependent shift of the wave trajectory.”
From Geometrodynamics of polarized light: Berry phase and spin Hall effect in a gradient-index medium (2009) · cites this paper as [25]
In the citing paper
“It can be treated as an effective circular birefringence of the inhomogeneous medium [25,26], but, in fact, it arises because of the intrinsic property (spin) of light coupled to a curved ray trajectory.”
From Geometrodynamics of polarized light: Berry phase and spin Hall effect in a gradient-index medium (2009) · cites this paper as [25]
In the citing paper
“Furthermore, the displacement is accumulated for repeating, cyclical trajectories in the p space - e.g., for circular or helical trajectories in the real space, Fig. 4 [25,35].”
From Geometrodynamics of polarized light: Berry phase and spin Hall effect in a gradient-index medium (2009) · cites this paper as [25]
In the citing paper
“The magnitude of the displacement δ r can be estimated from Eq. (3.46) as the wavelength λ for a complete 2 π turn of the direction of propagation (e.g., for a circular trajectory) [25].”
From Geometrodynamics of polarized light: Berry phase and spin Hall effect in a gradient-index medium (2009) · cites this paper as [25]
In the citing paper
“In other words, the spin Hall effect appears due to the transverse momentum gradient of the Berry phase [25] (see also [67]).”
From Geometrodynamics of polarized light: Berry phase and spin Hall effect in a gradient-index medium (2009) · cites this paper as [25]
Citations
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Metadata
- Authors
- Berry, M. V.
- Corresponding author
- Berry, M.V.
- ORCID
- Berry, M.V.
- Venue
- Journal of Modern Optics
- Publisher
- Informa UK Limited
- Published
- 1987-11
- Volume
- 34
- Issue
- 11
- Pages
- 1401-1407
- ISSN
- 0950-0340 (ISSN-L)
- 1362-3044
- OpenAlex
- W2062830522
- Cited by
- 1,068
- References
- 20
- Citations by year
- 2026: 46 · 2025: 73 · 2024: 54 · 2023: 64 · 2022: 80 · 2021: 69 · 2020: 65 · 2019: 76 · 2018: 82 · 2017: 53 · 2016: 50 · 2015: 37 · 2014: 26 · 2013: 27 · 2012: 13
- FWCI
- 5.52
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Journal of Modern Optics (publishedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Orbital Angular Momentum in Optics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Optical Polarization and Ellipsometry
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum and Classical Electrodynamics
- Keywords
- Pancharatnam phase, adiabatic phase, Poincaré sphere, cyclic polarization, spinor algebra, Hermitian matrices, Aharonov-Bohm effect, circularly polarized light, optical fibers, Berry phase
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 ›
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