Geometrodynamics of spinning light
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SOI of light at sharp interfaces also causes transverse polarization-dependent deflections (momentum shifts) of reflected or refracted beams away from the angle predicted by geometrical optics.
“Interestingly, the SOI of light at sharp interfaces also causes transverse polarization-dependent deflections (i.e., momentum shifts) of the reflected or refracted beams away from the angle predicted by geometrical optics 18,72,73,80 .”
From Spin–orbit interactions of light (2015) · cites this paper as [18]
The Basic theory section links spin–orbit effects to an Imbert–Fedorov transverse shift upon reflection or refraction at sharp interfaces. The supplementary section on propagation along a reflecting surface describes that shift as a displacement out of the propagation plane, not a momentum shift or a departure from the geometrical-optics reflection or refraction angle. The copy provides no page numbers for these passages. (LLM, conf=0.87)
Experimental — accuracy not yet measuredA finite-size beam consists of multiple plane waves with slightly different wavevectors, so they have slightly different planes of incidence, which induces geometric phases and determines a beam shift along the y-axis out of the plane of incidence.
“At the same time, a finite size beam consists of multiple plane waves with slightly different wavevectors k (Fig. 1c), so that they have slightly different planes of incidence entering the Fresnel reflection/refraction equations.”
From Spin–orbit interactions of light (2015) · cites this paper as [18]
Split into 2 atoms — 0 confirmed, 1 partially supported, 0 disputed, 0 misattributed, 1 unverifiable. Expand the claim to see per-atom verdicts.
Experimental — accuracy not yet measuredA similar trajectory effect for light beams in specially designed photonic structures has been recently predicted.
“The similar trajectory effect for light beams in specially designed photonic structures have been recently predicted [11, 12].”
From <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi mathvariant="italic">Zitterbewegung</mml:mi></mml:math> of exciton-polaritons (2018) · cites this paper as [12]
The opening section predicts a polarization-dependent deflection of light beams on curved trajectories, and Basic theory describes oppositely directed deflections. The Experiment section uses a glass cylinder to create such trajectories, but the paper does not describe this as a prediction for specially designed photonic structures; it also reports direct observation of the effect. Page numbers are unavailable in our copy. (LLM, conf=0.78)
Experimental — accuracy not yet measuredA 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 [18]
In the simplest case of total reflection from an interface, the reflected beam acquires a helicity-dependent shift (the Imbert-Fedorov shift).
“In the simplest case of total reflection from the interface, the reflected beam acquires the helicity-dependent shift”
From Spin–orbit interactions of light (2015) · cites this paper as [18]
A similar interaction between the IOAM and EOAM occurs for vortex beams in inhomogeneous media, causing l-dependent transverse shifts at medium inhomogeneities (orbital-Hall effect).
“A quite similar interaction between the IOAM and EOAM (vortex and trajectory) occurs for vortex beams in inhomogeneous media 18,64,90- 95 . In this case, beams experience -dependent transverse shifts at the medium inhomogeneities.”
From Spin–orbit interactions of light (2015) · cites this paper as [18]
The Experiment and Conclusion sections describe spin-dependent transverse shifts and the spin Hall effect, not shifts dependent on a vortex beam’s orbital angular momentum. A reference listed in the Conclusion names a paper on the orbital-angular-momentum Hall effect, but this paper’s text does not state the claimed IOAM–EOAM interaction or its associated shifts (pages unavailable). (LLM, conf=0.76)
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Cites
Born, M., Wolf, E., Bhatia, A. B., Clemmow, P. C., Gabor, D., Stokes, A. R., Taylor, A. M., Wayman, P. A., & Wilcock, W. L. (1999) · Cambridge University Press eBooks · doi:10.1017/9781108769914 · Cited by 26,404 · see citing works
Goldstein, H. (1951) · UCLA - Biblioteca de Ciencias y Tecnologia Felix Morales Bueno · Cited by 9,832 · see citing works
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 · see citing works
Observation of the Spin Hall Effect in Semiconductors
Kato, Y. K., Myers, R. C., Gossard, A. C., & Awschalom, D. D. (2004) · Science · doi:10.1126/science.1105514 · Cited by 2,636 · see citing works
Universal Intrinsic Spin Hall Effect
Sinova, J., Culcer, D., Niu, Q., Sinitsyn, N. A., Jungwirth, T., & MacDonald, A. H. (2004) · Physical Review Letters · doi:10.1103/physrevlett.92.126603 · Cited by 2,156 · see citing works
Observation of the Spin Hall Effect of Light via Weak Measurements
Hosten, O., & Kwiat, P. (2008) · Science · doi:10.1126/science.1152697 · Cited by 2,026 · see citing works
Dissipationless Quantum Spin Current at Room Temperature
Murakami, S., Nagaosa, N., & Zhang, S. (2003) · Science · doi:10.1126/science.1087128 · Cited by 1,947 · see citing works
Wilczek, F. A., & Shapere, A. D. (1989) · Advanced series in mathematical physics · doi:10.1142/0613 · Cited by 1,559 · see citing works
Wunderlich, J., Kaestner, B., Sinova, J., & Jungwirth, T. (2005) · Physical Review Letters · doi:10.1103/physrevlett.94.047204 · Cited by 1,494 · see citing works
Onoda, M., Murakami, S., & Nagaosa, N. (2004) · Physical Review Letters · doi:10.1103/physrevlett.93.083901 · Cited by 1,148 · see citing works
The Anomalous Hall Effect and Magnetic Monopoles in Momentum Space
Fang, Z., Nagaosa, N., Takahashi, K. S., Asamitsu, A., Mathieu, R., Ogasawara, T., Yamada, H., Kawasaki, M., Tokura, Y., & Terakura, K. (2003) · Science · doi:10.1126/science.1089408 · Cited by 1,043 · see citing works
Wave-packet dynamics in slowly perturbed crystals: Gradient corrections and Berry-phase effects
Sundaram, G. M., & Niu, Q. (1999) · Physical review. B, Condensed matter · doi:10.1103/physrevb.59.14915 · Cited by 1,042 · see citing works
Geometrical Optics of Inhomogeneous Media
Kravtsov, Y. A., & Orlov, Y. I. (1990) · Springer Series on Wave Phenomena · doi:10.1007/978-3-642-84031-9 · Cited by 903 · see citing works
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
Bliokh, K. Y., & Bliokh, Y. P. (2006) · Physical Review Letters · doi:10.1103/physrevlett.96.073903 · Cited by 753 · see citing works
Self-citationImbert, C. (1972) · Physical Review D · doi:10.1103/physrevd.5.787 · Cited by 544 · 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
Observation of the optical spin Hall effect
Leyder, C., Romanelli, M., Karr, J., Giacobino, E., Liew, T. C. H., Глазов, М. М., Kavokin, A. V., Malpuech, G., & Bramati, A. (2007) · Nature Physics · doi:10.1038/nphys676 · Cited by 450 · see citing works
Spin-orbit interaction of a photon in an inhomogeneous medium
Liberman, V. S., & Zel’dovich, B. Y. (1992) · Physical Review A · doi:10.1103/physreva.46.5199 · Cited by 424 · see citing works
Ross, J. N. (1984) · Optical and Quantum Electronics · doi:10.1007/bf00619638 · Cited by 260 · see citing works
Interpreting the anholonomy of coiled light
Berry, M. (1987) · Nature · doi:10.1038/326277a0 · Cited by 230 · see citing works
Geometrical Optics of Beams with Vortices: Berry Phase and Orbital Angular Momentum Hall Effect
Bliokh, K. Y. (2006) · Physical Review Letters · doi:10.1103/physrevlett.97.043901 · Cited by 216 · see citing works
Self-citationTopological spin transport of photons: the optical Magnus effect and Berry phase
Bliokh, K. Y., & Bliokh, Y. P. (2004) · Physics Letters A · doi:10.1016/j.physleta.2004.10.035 · Cited by 201 · see citing works
Self-citationGeometric phases in the asymptotic theory of coupled wave equations
Littlejohn, R. G., & Flynn, W. G. (1991) · Physical Review A · doi:10.1103/physreva.44.5239 · Cited by 200 · see citing works
Collett, E. (1992) · Cited by 156 · see citing works
Spin Hall effect and Berry phase of spinning particles
Bérard, A., & Mohrbach, H. (2006) · Physics Letters A · doi:10.1016/j.physleta.2005.11.071 · Cited by 144 · see citing works
Transverse Force on a Quantized Vortex in a Superfluid
Thouless, D. J., Ao, P., & Niu, Q. (1996) · Physical Review Letters · doi:10.1103/physrevlett.76.3758 · Cited by 143 · see citing works
Bliokh, K. Y., & Bliokh, Y. P. (2004) · Physical Review E · doi:10.1103/physreve.70.026605 · Cited by 129 · see citing works
Self-citationSpin Hall effect of photons in a static gravitational field
Gosselin, P., Bérard, A., & Mohrbach, H. (2007) · Physical Review D · doi:10.1103/physrevd.75.084035 · Cited by 123 · see citing works
Fermat principle for spinning light
Duval, C., Horváth, Z., & Horváthy, P. A. (2006) · Physical Review D · doi:10.1103/physrevd.74.021701 · Cited by 107 · see citing works
Fedoseyev, V. G. (2001) · Optics Communications · doi:10.1016/s0030-4018(01)01262-7 · Cited by 100 · see citing works
Thomas precession, spin-orbit interaction, and Berry’s phase
Mathur, H. (1991) · Physical Review Letters · doi:10.1103/physrevlett.67.3325 · Cited by 87 · 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
Self-citationBerry’s phase in the relativistic theory of spinning particles
Bialynicki-Birula, I., & Bialynicka-Birula, Z. (1987) · Physical Review D · doi:10.1103/physrevd.35.2383 · Cited by 65 · cited 2× · see citing works
“Figure 4 shows the output Stokes parameters ~S ðRÞ out and the relative shift Dout as theoretically predicted by equations (8) and (9) and experimentally measured at different angles of propagation.”
BackgroundMethodGeometrical Optics of Weakly Anisotropic Media
Fuki, A. A., Kravtsov, Y. A., Naǐda, O. N., et al. (2019) · CRC Press eBooks · doi:10.1201/9780203753415 · Cited by 53 · see citing works
Berry's phase in optical interferometry: a simple derivation
Lipson, S. G. (1990) · Optics Letters · doi:10.1364/ol.15.000154 · Cited by 46 · see citing works
Deformation of symplectic structure and anomalous commutators in field theories
Kuratsuji, H., & Iida, S. (1988) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.37.441 · Cited by 31 · see citing works
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Berry phase effects on electronic properties
Xiao, D., Chang, M.-C., & Niu, Q. (2010) · Reviews of Modern Physics · doi:10.1103/revmodphys.82.1959 · Cited by 5,277 · see citing works
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
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Yin, X., Ye, Z., Rho, J., Wang, Y., & Zhang, X. (2013) · Science · doi:10.1126/science.1231758 · Cited by 1,300 · see citing works
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Petersen, J., Volz, J., & Rauschenbeutel, A. (2014) · Science · doi:10.1126/science.1257671 · Cited by 807 · see citing works
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Bliokh, K. Y., & Aiello, A. (2013) · Journal of Optics · doi:10.1088/2040-8978/15/1/014001 · Cited by 639 · see citing works
Self-citationSpin-Optical Metamaterial Route to Spin-Controlled Photonics
Shitrit, N., Yulevich, I., Maguid, E., Ozeri, D., Veksler, D., Kleiner, V., & Hasman, E. (2013) · Science · doi:10.1126/science.1234892 · Cited by 526 · see citing works
Self-citationMarrucci, L., Karimi, E., Slussarenko, S., Piccirillo, B., Santamato, E., Nagali, E., & Sciarrino, F. (2011) · Journal of Optics · doi:10.1088/2040-8978/13/6/064001 · Cited by 510 · see citing works
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Zhou, X., Ling, X., Luo, H., & Wen, S. (2012) · Applied Physics Letters · doi:10.1063/1.4772502 · Cited by 424 · see citing works
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Bekshaev, A., Bliokh, K. Y., & Soskin, M. (2011) · Journal of Optics · doi:10.1088/2040-8978/13/5/053001 · Cited by 368 · see citing works
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Luo, H., Zhou, X., Shu, W., Wen, S., & Fan, D. (2011) · Physical Review A · doi:10.1103/physreva.84.043806 · Cited by 322 · see citing works
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Shitrit, N., Bretner, I., Gorodetski, Y., Kleiner, V., & Hasman, E. (2011) · Nano Letters · doi:10.1021/nl2004835 · Cited by 314 · see citing works
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Zhou, X., Xiao, Z., Luo, H., & Wen, S. (2012) · Physical Review A · doi:10.1103/physreva.85.043809 · Cited by 310 · see citing works
Spin-Enabled Plasmonic Metasurfaces for Manipulating Orbital Angular Momentum of Light
Li, G., Kang, M., Chen, S., Zhang, S., Pun, E. Y.-B., Cheah, K. W., & Li, J. (2013) · Nano Letters · doi:10.1021/nl401734r · Cited by 291 · see citing works
Measurement of spin Hall effect of reflected light
Qin, Y., Li, Y., He, H., & Gong, Q. (2009) · Optics Letters · doi:10.1364/ol.34.002551 · Cited by 279 · see citing works
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Self-citation
- Authors
- Bliokh, K. Y., Niv, A., Kleiner, V., & Hasman, E.
- Affiliations
- Australian National University (AU)
- Technion – Israel Institute of Technology (IL)
- Corresponding author
- Bliokh, Konstantin Y.
- Venue
- Nature Photonics
- Published
- 2008-11-23
- Volume
- 2
- Issue
- 12
- Pages
- 748-753
- ISSN
- 1749-4885 (ISSN-L)
- 1749-4893
- OpenAlex
- W1976993216
- Cited by
- 615
- References
- 37
- Citations by year
- 2026: 18 · 2025: 31 · 2024: 36 · 2023: 46 · 2022: 63 · 2021: 63 · 2020: 26 · 2019: 51 · 2018: 45 · 2017: 30 · 2016: 36 · 2015: 33 · 2014: 26 · 2013: 32 · 2012: 24
- FWCI
- 10.64
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Licence
- www.springer.com/tdm (tdm)
- Locations
- Nature Photonics (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- ANU Open Research (Australian National University) (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 › Quantum and Classical Electrodynamics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Topological Materials and Phenomena
- Keywords
- spin Hall effect, Berry phase, spin-orbit coupling, geometrical optics, nanophotonics
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