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
Cites
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Electrodynamics of Continuous Media
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Quantal phase factors accompanying adiabatic changes
Berry, M. V. (1984) · Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences · doi:10.1098/rspa.1984.0023 · Cited by 9,252
Self-citationSignificance of Electromagnetic Potentials in the Quantum Theory
Aharonov, Y., & Bohm, D. (1959) · Physical Review · doi:10.1103/physrev.115.485 · Cited by 6,996
Phase change during a cyclic quantum evolution
Aharonov, Y., & Anandan, J. (1987) · Physical Review Letters · doi:10.1103/physrevlett.58.1593 · Cited by 2,160
Holonomy, the Quantum Adiabatic Theorem, and Berry's Phase
Simon, B. (1983) · Physical Review Letters · doi:10.1103/physrevlett.51.2167 · Cited by 1,937
On the electrodynamics of continuous media
Пафомов, В. Е. (2015) · Bulletin of the Lebedev Physics Institute · doi:10.3103/s106833561510005x · Cited by 1,711
Generalized theory of interference, and its applications: Part I. Coherent pencils
Pancharatnam, S. (1956) · Proceedings of the Indian Academy of Sciences - Section A · doi:10.1007/bf03046050 · Cited by 1,616
Observation of Berry's Topological Phase by Use of an Optical Fiber
Tomita, A., & Chiao, R. Y. (1986) · Physical Review Letters · doi:10.1103/physrevlett.57.937 · Cited by 810
Manifestations of Berry's Topological Phase for the Photon
Chiao, R. Y., & Wu, Y.-S. (1986) · Physical Review Letters · doi:10.1103/physrevlett.57.933 · Cited by 482
The quantum effects of electromagnetic fluxes
Olariu, S., & Popescu, I. I. (1985) · Reviews of Modern Physics · doi:10.1103/revmodphys.57.339 · Cited by 404
Interpreting the anholonomy of coiled light
Berry, M. (1987) · Nature · doi:10.1038/326277a0 · Cited by 230
Self-citationFundamental Aspects of Quantum Theory
Frigerio, A., & Gorini, V. (1986) · NATO ASI series. Series B : Physics · doi:10.1007/978-1-4684-5221-1 · Cited by 166
Polarized Light and Optical Measurement
Clarke, D., Grainger, J. G., & Major, S. S. (1972) · American Journal of Physics · doi:10.1119/1.1986756 · Cited by 165
Polarized Light and Optical Measurement
King, R. J. (1971) · Optica Acta International Journal of Optics · doi:10.1080/713818385 · Cited by 134
Photon Berry’s phase as a classical topological effect
Segert, J. (1987) · Physical Review A · doi:10.1103/physreva.36.10 · Cited by 53
Comment on ‘‘Observation of Berry’s topological phase by use of an optical fiber’’
Kitano, M., Yabuzaki, T., & Ogawa, T. (1987) · Physical Review Letters · doi:10.1103/physrevlett.58.523 · Cited by 50
Collected Works of S Pancharatnam
Zienau, S. (1976) · Physics Bulletin · doi:10.1088/0031-9112/27/6/028 · Cited by 44
Collected works of S. Pancharatnam
Pancharatnam, S., & Series, G. W. (1975) · Medical Entomology and Zoology · Cited by 27
Adiabatic Phase Shifts for Neutrons and Photons
Berry, M. (1986) · NATO ASI series. Series B : Physics · doi:10.1007/978-1-4684-5221-1_30 · Cited by 14
Self-citation
Research works printed but not linked: 2
- Ramaseshan S., 1986, Current Science, India, 55, 1225
- Berry M.V., 1987, Proc. R. Soc., Lond
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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
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