Path dependence of the geometric rotation of polarization in optical fibers
Abstract
The geometric rotation of the polarization angle in a ideal cylindrical optical fiber without birefringence is obtained for arbitrary fiber paths in terms of the image of the path in the tangent vector space. The result extends a recent result of Chiao and Wu [Phys. Rev. Lett. 57, 933 (1986)] restricted to paths with parallel ends, which was derived from Berry's phase in the adiabatic limit of quantum mechanics [Proc. R. Soc. London Ser. A 392,45 (1984)]. The treatment given here is purely classical and uses differential geometry to extend earlier work by Ross [Opt. Quantum Electron. 16, 455 (1984)] on the uniform helix.
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The Berry phase concept is not tied to Hilbert space, but applies to the connectivity of any given coordinate space, and accounts for classical degrees of freedom as well.
“Furthermore, the Berry phase concept is not tied to Hilbert space, but applies to the connectivity of any given coordinate space, and as such accounts for classical degrees of freedom as well 3 .”
From Topolectrical-circuit realization of topological corner modes (2018) · cites this paper as [3]
Cites
Quantal phase factors accompanying adiabatic changes
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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 · see citing works
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 · see citing works
Ross, J. N. (1984) · Optical and Quantum Electronics · doi:10.1007/bf00619638 · Cited by 260 · see citing works
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Topolectrical-circuit realization of topological corner modes
Imhof, S., Berger, C., Bayer, F., Brehm, J., Molenkamp, L. W., Kiessling, T., Schindler, F., Lee, C. H., Greiter, M., Neupert, T., et al. (2018) · Nature Physics · doi:10.1038/s41567-018-0246-1 · Cited by 1,034 · see citing works
Geometrodynamics of polarized light: Berry phase and spin Hall effect in a gradient-index medium
Bliokh, K. Y. (2009) · Journal of Optics A: Pure and Applied Optics · doi:10.1088/1464-4258/11/9/094009 · Cited by 217 · see citing works
Non-Abelian evolution of electromagnetic waves in a weakly anisotropic inhomogeneous medium
Bliokh, K. Y., Frolov, D. Y., & Kravtsov, Y. A. (2007) · Physical Review A · doi:10.1103/physreva.75.053821 · Cited by 67 · see citing works
Polarization transport of transverse acoustic waves: Berry phase and spin Hall effect of phonons
Bliokh, K. Y., & Freilikher, V. D. (2006) · Physical Review B · doi:10.1103/physrevb.74.174302 · Cited by 55 · see citing works
Photon Berry’s phase as a classical topological effect
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Manifestation of Berry’s phase in image-bearing optical beams
Segev, M., Solomon, R., & Yariv, A. (1992) · Physical Review Letters · doi:10.1103/physrevlett.69.590 · Cited by 30 · see citing works
Geometric phases in singlemode fiber lightguides and fiber ring interferometers
Malykin, G. B., & Pozdnyakova, V. I. (2004) · Physics-Uspekhi · doi:10.1070/pu2004v047n03abeh001722 · Cited by 28 · see citing works
Spin-orbit interactions of light in isotropic media
Bliokh, K. Y., Aiello, A., & Alonso, M. A. (2012) · The Angular Momentum of Light · doi:10.1017/cbo9780511795213.009 · Cited by 20 · see citing works
Geometric phases in singlemode fiber lightguides and fiber ring interferometers
Malykin, G. B., & Pozdnyakova, V. I. (2004) · Uspekhi Fizicheskih Nauk · doi:10.3367/ufnr.0174.200403e.0303 · Cited by 13 · see citing works
- Authors
- Haldane, F. D. M.
- Affiliations
- AT&T (United States) (US)
- Corresponding author
- Haldane, F. D. M.
- ORCID
- Haldane, F. D. M.
- Venue
- Optics Letters
- Publisher
- Optica Publishing Group
- Published
- 1986-11-01
- Volume
- 11
- Issue
- 11
- Pages
- 730
- ISSN
- 0146-9592 (ISSN-L)
- 1539-4794
- OpenAlex
- W2104040196
- Cited by
- 122
- References
- 4
- Citations by year
- 2026: 1 · 2025: 2 · 2024: 1 · 2023: 7 · 2022: 3 · 2021: 21 · 2020: 4 · 2019: 5 · 2018: 5 · 2017: 2 · 2016: 4 · 2015: 1 · 2014: 1 · 2013: 3 · 2012: 2
- FWCI
- 2.58
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Optics Letters (publishedVersion)
- PubMed (publishedVersion)
- 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 › Electrical and Electronic Engineering › Photonic Crystal and Fiber Optics
- Keywords
- Berry phase, polarization rotation, optical fibers, path dependence, adiabatic limit, differential geometry, tangent bundle, classical optics
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