Hall Effect of Light
Open accessAbstract
We derive the semiclassical equation of motion for the wave packet of light taking into account the Berry curvature in momentum-space. This equation naturally describes the interplay between orbital and spin angular momenta, i.e., the conservation of the total angular momentum of light. This leads to the shift of wave-packet motion perpendicular to the gradient of the dielectric constant, i.e., the polarization-dependent Hall effect of light. An enhancement of this effect in photonic crystals is also proposed.
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The helicity-dependent shift of the trajectory is intimately related to the fundamental conservation of the total angular momentum of light.
“Moreover, the helicity-dependent shift of the trajectory is intimately related to the fundamental conservation of the total angular momentum of light.”
From Spin–orbit interactions of light (2015) · cites this paper as [14]
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 [14]
The 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 [14]
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 [14]
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 [30]
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 [30]
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 [30]
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- Authors
- Onoda, M., Murakami, S., & Nagaosa, N.
- Affiliations
- National Institute of Advanced Industrial Science and Technology (JP)
- The University of Tokyo (JP)
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2004-08-18
- Volume
- 93
- Issue
- 8
- Pages
- 083901-083901
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2016427540
- Cited by
- 1,148
- References
- 23
- Citations by year
- 2026: 69 · 2025: 87 · 2024: 88 · 2023: 101 · 2022: 107 · 2021: 95 · 2020: 75 · 2019: 86 · 2018: 55 · 2017: 45 · 2016: 48 · 2015: 49 · 2014: 31 · 2013: 34 · 2012: 42
- FWCI
- 8.16
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review Letters (publishedVersion)
- PubMed (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- Tokyo Tech Research Repository (Tokyo Institute of Technology) (submittedVersion)
- arXiv (Cornell University)
- 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 curvature, Berry phase, orbital angular momentum, spin angular momentum, total angular momentum conservation, photonic crystals
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