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Cited by 42Topological Materials and PhenomenaQuantum and Classical ElectrodynamicsMetamaterials and Metasurfaces Applications

Topological spin transport of photons: Magnetic monopole gauge field in Maxwell's equations and polarization splitting of rays in periodically inhomogeneous media

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Bliokh, K. Yu., Freilikher, V. D.·2005·Physical Review B
DOI 10.1103/physrevb.72.035108
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Abstract

Topological spin transport of electromagnetic waves (photons) in stationary smoothly inhomogeneous isotropic medium is studied. By diagonalizing the photon kinetic energy in Maxwell equations, we derive the non-Abelian pure gauge potential in the momentum space, which in adiabatic approximation for transverse waves takes the form of two $\mathbf{U}(1)$ Abelian potentials corresponding to magnetic monopole-type fields. These fields act on circularly polarized waves resulting in the topological spin transport of photons. We deduce general semiclassical (geometrical optics) ray equations that take into account a Lorentz-type force of the magnetic-monopole-like gauge field. Detailed analysis of rays in three-dimensional medium with two-dimensional periodic inhomogeneity is presented. It is shown that rays located initially in the inhomogeneity plane experience topological deflections or splitting that move them out from this plane. The dependence of the rays' deflection on the parameters of the medium and on the direction of propagation is studied.

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Crossref · 10.1103/physrevb.72.035108

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  • The Stokes vector obeys a precession equation.

    “By differentiating expression (3.36) and using Eq. (3.29) we find that the Stokes vector obeys the following precession equation [34,35]:”

    From Geometrodynamics of polarized light: Berry phase and spin Hall effect in a gradient-index medium (2009) · cites this paper as [34]

  • The Jones and Stokes representations characterize the polarization state of light by the complex two-component vector ψ and the real three-component vector S, respectively; in the generic case, they obey SU(2) and SO(3) evolutions and correspond to the Schrödinger and Heisenberg representations of spin in quantum mechanics.

    “The Jones and Stokes representations characterize the polarization state of light, respectively, by the complex two-component vector ψ and the real three-component vector S arrowrightnosp . In the generic case, they obey ( ) SU 2 and ( ) SO 3 evolutions and correspond, respectively, to the Schrödinger and Heisenberg representations of spin in quantum mechanics [34,98].”

    From Geometrodynamics of polarized light: Berry phase and spin Hall effect in a gradient-index medium (2009) · cites this paper as [34]

  • The geometrodynamical description of the propagation of light in gradient-index media can be extended to the case of weakly anisotropic media.

    “The geometrodynamical description of the propagation of light in gradient-index media can be extended to the case of weakly anisotropic media [34,35,136 -138].”

    From Geometrodynamics of polarized light: Berry phase and spin Hall effect in a gradient-index medium (2009) · cites this paper as [34]

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Research works printed but not linked: 8

  1. M. V. Berry, Proc. R. Soc. London, Ser. A 392, 45 ͑1984͒.
  2. S. M. Rytov, Dokl. Akad. Nauk SSSR 18, 263 ͑1938͒ ͓C. R. ͑Dokl.͒ Acad. Sci. URSS 18, 263 ͑1938͔͒; reprinted in Topologi- cal Phases in Quantum Theory, edited by B. Markovski and S. I. Vinitsky ͑World Scientific, Singapore, 1989͒.
  3. V. V. Vladimirskii, Dokl. Akad. Nauk SSSR 31, 222 ͑1941͒; re- printed in Topological Phases in Quantum Theory, edited by B. Markovski and S. I. Vinitsky ͑World Scientific, Singapore, 1989͒.
  4. S. Murakami, cond-mat/0405003 ͑unpublished͖. · arXiv
  5. K. Yu. Bliokh and Yu. P. Bliokh, quant-ph/0404144, Ann. Phys. ͑N.Y.͒ ͑to be published͒. · arXiv
  6. K. Yu. Bliokh and Yu. P. Bliokh, Phys. Lett. A 333, 181 ͑2004͒; physics/0402110. · arXiv
  7. A. Bérard and H. Mohrbach, hep-th/0404165. · arXiv
  8. Yu. A. Kravtsov and Yu. I. Orlov, Geometrical Optics of Inhomo- geneous Medium ͑Springer-Verlag, Berlin, 1990͒.

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Authors
Bliokh, K. Y., & Freilikher, V. D.
Affiliations
Bar-Ilan University (IL)
ORCID
Bliokh, K. Yu.
Venue
Physical Review B
Publisher
American Physical Society (APS)
Published
2005-07-07
Volume
72
Issue
3
ISSN
  • 1098-0121 (ISSN-L)
  • 1550-235X
DOI
10.1103/physrevb.72.035108
OpenAlex
W2136833388
Cited by
42
References
31
Citations by year
2025: 2 · 2023: 1 · 2021: 1 · 2020: 3 · 2018: 3 · 2017: 1 · 2016: 2 · 2015: 3 · 2013: 1 · 2012: 3
FWCI
2.05
Type
journal article
Language
en
Open access
Licence
link.aps.org/licenses/aps-default-license (vor)
Locations
  • Physical Review B (publishedVersion)
  • University of Twente Research Information (publishedVersion)
  • arXiv (Cornell University) (submittedVersion)
  • University of Twente Research Information (submittedVersion, other-oa)
  • arXiv (Cornell University)
Topics
  • 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
  • Physical Sciences › Materials Science › Electronic, Optical and Magnetic Materials › Metamaterials and Metasurfaces Applications
Keywords
photons, non-Abelian gauge potentials, momentum space, circular polarization, ray equations, ray splitting, ray deflection, adiabatic approximation, transverse electromagnetic waves, Maxwell's equations

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