Berry's phase in optical interferometry: a simple derivation
Abstract
When an electromagnetic wave propagates around a circuit that is closed in k space, the value of Berry's topological phase can be deduced by solving Maxwell's equations in a rotating frame of reference.
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This effective magnetic field takes the form of a 'magnetic monopole' located at the origin of p-space.
“Remarkably, this field takes the form of a ' magnetic monopole ' located at the origin of p -space [12,17 -19,26 -35] (cf. [38,39]).”
From Geometrodynamics of polarized light: Berry phase and spin Hall effect in a gradient-index medium (2009) · cites this paper as [18]
Cites
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Phase change during a cyclic quantum evolution
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Angle variable holonomy in adiabatic excursion of an integrable Hamiltonian
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Manifestations of Berry's Topological Phase for the Photon
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Observation of a topological phase by means of a nonplanar Mach-Zehnder interferometer
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Path dependence of the geometric rotation of polarization in optical fibers
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Kugler, M., & Shtrikman, S. (1988) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.37.934 · Cited by 106 · see citing works
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Spin–orbit interactions of light
Bliokh, K. Y., Rodríguez-Fortuño, F. J., Nori, F., & Zayats, A. V. (2015) · Nature Photonics · doi:10.1038/nphoton.2015.201 · Cited by 2,276 · see citing works
Goos–Hänchen and Imbert–Fedorov beam shifts: an overview
Bliokh, K. Y., & Aiello, A. (2013) · Journal of Optics · doi:10.1088/2040-8978/15/1/014001 · Cited by 639 · see citing works
Geometrodynamics of spinning light
Bliokh, K. Y., Niv, A., Kleiner, V., & Hasman, E. (2008) · Nature Photonics · doi:10.1038/nphoton.2008.229 · Cited by 615 · see citing works
Coriolis Effect in Optics: Unified Geometric Phase and Spin-Hall Effect
Bliokh, K. Y., Gorodetski, Y., Kleiner, V., & Hasman, E. (2008) · Physical Review Letters · doi:10.1103/physrevlett.101.030404 · Cited by 363 · see citing works
Angular momenta and spin-orbit interaction of nonparaxial light in free space
Bliokh, K. Y., Alonso, M. A., Ostrovskaya, E. A., & Aiello, A. (2010) · Physical Review A · doi:10.1103/physreva.82.063825 · Cited by 319 · see citing works
Optical Spin Hall Effects in Plasmonic Chains
Shitrit, N., Bretner, I., Gorodetski, Y., Kleiner, V., & Hasman, E. (2011) · Nano Letters · doi:10.1021/nl2004835 · Cited by 314 · 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
Plasmonic Aharonov-Bohm effect: Optical spin as the magnetic flux parameter
Gorodetski, Y., Nechayev, S., Kleiner, V., & Hasman, E. (2010) · Physical Review B · doi:10.1103/physrevb.82.125433 · Cited by 56 · see citing works
Berry and Pancharatnam topological phases of atomic and optical systems
Ben-Aryeh, Y. (2004) · Journal of Optics B: Quantum and Semiclassical Optics · doi:10.1088/1464-4266/6/4/r01 · Cited by 40 · see citing works
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
Topological phase evolving from the orbital angular momentum of ‘coiled’ quantum vortices
Alexeyev, C. N., & Yavorsky, M. A. (2006) · Journal of Optics A: Pure and Applied Optics · doi:10.1088/1464-4258/8/9/008 · 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
Spin-orbit interactions of light
Bliokh, K. Y., Rodriguez-Fortuno, F. J., Nori, F., & Zayats, A. V. (2015) · arXiv
- Authors
- Lipson, S. G.
- Affiliations
- Technion – Israel Institute of Technology (IL)
- Corresponding author
- Lipson, S. G.
- ORCID
- Lipson, S. G.
- Venue
- Optics Letters
- Publisher
- Optica Publishing Group
- Published
- 1990-02-01
- Volume
- 15
- Issue
- 3
- Pages
- 154
- ISSN
- 0146-9592 (ISSN-L)
- 1539-4794
- OpenAlex
- W2088005567
- Cited by
- 46
- References
- 10
- Citations by year
- 2026: 1 · 2025: 2 · 2024: 2 · 2023: 1 · 2022: 2 · 2020: 2 · 2019: 4 · 2017: 2 · 2016: 2 · 2015: 3 · 2013: 3 · 2012: 3
- FWCI
- 0.44
- 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 › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Topological Materials and Phenomena
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum and Classical Electrodynamics
- Keywords
- Berry phase, topological phases, optical interferometry, rotating frame, Maxwell's equations, electromagnetic wave propagation
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