Topological spin transport of photons: the optical Magnus effect and Berry phase
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A circularly polarized laser beam reflected or refracted at a dielectric interface experiences a tiny transverse spin-dependent shift out of the plane of incidence.
“(i) A circularly polarized laser beam reflected or refracted at a dielectric interface does not propagate in the original plane but experiences a tiny transverse spin-dependent shift out of this plane.”
From Spin–orbit interactions of light (2015) · cites this paper as [13]
The discussion of the ray equations (p. 2) says opposite circular polarizations acquire displacements in opposite directions normal to the ray. But the paper develops this result for propagation through a smoothly inhomogeneous medium, not for a beam reflected or refracted at a dielectric interface (p. 1–2). (LLM, conf=0.88)
Experimental — accuracy not yet measuredThe helicity-dependent term in the equations of motion can be considered as a Lorentz force produced by the Berry curvature acting in momentum space.
“Later, it was shown that the helicity-dependent term in Eq. (1) can be considered as a 'Lorentz force' produced by the Berry curvature F σ P ( ) acting in momentum space 7,13,14,17 (Box 2).”
From Spin–orbit interactions of light (2015) · cites this paper as [13]
In a gradient-index medium, the trajectory of light is described by equations of motion whose last term describes the transverse spin-dependent displacement (spin-Hall effect of light).
“The last term in Eq. (1) describes the transverse spin-dependent displacement of the trajectory, i.e., the spin-Hall effect of light (Fig. 1a).”
From Spin–orbit interactions of light (2015) · cites this paper as [13]
This polarization-dependent shift is known as the spin Hall effect of light or optical Magnus effect.
“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 [29]
The Berry phase induces an additional term in the equations of motion (ray equations) which describes a polarization-dependent shift of the wave trajectory.
“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 [29]
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 [29]
In the momentum representation, the spin-orbit interaction of light acquires the same form as the spin-orbit interaction of electrons stemming from the Dirac equation.
“In such representation, the spin-orbit interaction of light, Eq. (3.16), acquires the same form as the spin-orbit interaction of electrons stemming from the Dirac equation [29,32,54,81 -83].”
From Geometrodynamics of polarized light: Berry phase and spin Hall effect in a gradient-index medium (2009) · cites this paper as [29]
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Self-citation
- Authors
- Bliokh, K. Y., & Bliokh, Y. P.
- Affiliations
- Bar-Ilan University (IL)
- Technion – Israel Institute of Technology (IL)
- Corresponding author
- Bliokh, K.Yu.
- Venue
- Physics Letters A
- Publisher
- Elsevier BV
- Published
- 2004-12
- Volume
- 333
- Issue
- 3-4
- Pages
- 181-186
- ISSN
- 0375-9601 (ISSN-L)
- OpenAlex
- W2070629486
- Cited by
- 201
- References
- 23
- Citations by year
- 2026: 3 · 2025: 4 · 2024: 9 · 2023: 24 · 2022: 22 · 2021: 16 · 2020: 7 · 2019: 17 · 2018: 9 · 2017: 7 · 2016: 4 · 2015: 9 · 2014: 3 · 2013: 8 · 2012: 7
- FWCI
- 4.50
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physics Letters A (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum and Classical Electrodynamics
- 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 › Orbital Angular Momentum in Optics
- Keywords
- Berry phase, Berry curvature, photon polarization, magnetic monopoles, anomalous Hall effect, spin current, geometrical optics, topological photonics
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