Geometrodynamics of polarized light: Berry phase and spin Hall effect in a gradient-index medium

By K. Bliokh. 2009

200 citations recorded by the source corpus.

We review the geometrical-optics evolution of an electromagnetic wave propagating along a curved ray trajectory in a gradient-index dielectric medium. A Coriolis-type term appears in Maxwell equations under transition to the rotating coordinate system accompanying the ray. This term describes the spin–orbit coupling of light which consists of (i) the Berry phase responsible for trajectory-dependent polarization variations and (ii) the spin Hall effect representing polarization-dependent trajectory perturbations. These mutual phenomena are described within universal geometrical structures underlying the problem and are explained by the dynamics of the intrinsic angular momentum carried by the wave. Such close geometrodynamical interrelations illuminate a dual physical nature of the phenomena.

Subfields: Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/9c34209b9b5360bc9bb49a558828f9a34020ee7f

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In Atomic and Molecular Physics, and Optics

Citations in the corpus

Non-relativistic conformal symmetries and Newton–Cartan structures (2009, background): “Even more importantly, the model of “Galilean photon” (s = ±~) is a trivial extension of the Euclidean model presented in [54], which has been used to explain the recently observed spin-Hall effect for light [55].”
Spin-to-orbital conversion of the angular momentum of light and its classical and quantum applications (2011, background): “ics” [56, 57] and the polarization-based optical sensing of nano-particle displacements [58].”
Transverse and longitudinal angular momenta of light (2015, background): “account the spin–orbit interaction in Maxwell equations with ‘‘semi-classical’’ wavelength-order corrections [196], one can derive the helicity-dependent corrections to the traditional geometrical-optics equations for the trajectory of light [63,65,67, 173,180].”
Photonic spin Hall effect in metasurfaces: a brief review (2017, background): “Therefore, two kinds of geometric phases are found in the early researches in succession [59, 60].”
Geometric phase from Aharonov–Bohm to Pancharatnam–Berry and beyond (2019, background): “ure of the bundle such as the strength of singularities that it could be containing (90,91,92,93,94,95,96,97,98,99). 3. Geometric phase in optics There are two main types of geometric phase in optics (48,100). The first, ‘spin-redirection’ geometric phase, commonly refers to light with fixed state o”