Hall effect of light.

  title={Hall effect of light.},
  author={Masaru Onoda and Shuichi Murakami and Naoto Nagaosa},
  journal={Physical review letters},
  volume={93 8},
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… 

Figures from this paper

Spin Hall effect of light in photon tunneling

We resolve the breakdown of angular momentum conservation on two-dimensional photon tunneling by considering the spin Hall effect (SHE) of light. This effect manifests itself as

Berry effect in acoustical polarization transport in phononic crystals

We derive the semiclassical equations of motion of a transverse acoustical wave packet propagating in a phononic crystal, subject to slowly varying perturbations. The formalism gives rise to Berry

Spin Hall Effect of Light in a Random Medium.

It is shown that optical beams propagating in transversally disordered materials exhibit a spin Hall effect and a spin-to-orbital conversion of angular momentum as they deviate from paraxiality and can be detected via polarimetric measurements under realistic experimental conditions.

Angular momentum of light revisited: spin-orbit interactions in free space

We give an exact self-consistent operator description of the spin and orbital angular momenta, position, and spin-orbit interactions of nonparaxial light in free space. We apply the general theory to

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

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

Observation of the Spin Hall Effect of Light via Weak Measurements

The spin-dependent displacement perpendicular to the refractive index gradient for photons passing through an air-glass interface is detected, indicating the universality of the effect for particles of different nature.

Spin-Orbit Coupling of Light in Photonic Crystal Waveguides

We investigate the effect of breaking the parity of a photonic crystal waveguide designed to have odd and even modes intersecting inside the photonic bandgap. The complete study on the wavefields

Conservation of angular momentum, transverse shift, and spin Hall effect in reflection and refraction of an electromagnetic wave packet.

We present a solution to the problem of reflection and refraction of a polarized Gaussian beam on the interface between two transparent media. The transverse shifts of the beams' centers of gravity

Semiclassical dynamics of electron wave packet states with phase vortices.

S semiclassical higher-order wave packet solutions of the Schrödinger equation with phase vortices are considered and the magnetic-monopole Berry curvature appears in momentum space, which results in a spin-orbit-type interaction and a Berry/Magnus transverse force acting on the wave packet.



Photonic crystals

  • I. NefedovM. Marciniak
  • Physics
    International Conference on Transparent Optical Networks (Cat. No. 99EX350)
  • 1999
The term photonic crystals appears because of the analogy between electron waves in crystals and the light waves in artificial periodic dielectric structures. During the recent years the


  • Rev. B 53, 7010 (1996); G. Sundaram and Q. Niu, ibid. 59, 14915
  • 1999

The Proceedings of the Indian Academy of Sciences Vol

  • XLIV, No. 5, Sec. A, 247
  • 1956

Geometrical Phases in Physics

  • 1989


  • Rev. D 7, 2375 (1973); N. Ashby and S. C. Miller Jr., Phys. Rev. D 7, 2383
  • 1973


  • Rev. Lett. 57, 933 (1986); A. Tomita and R. Y. Chiao, ibid. 57, 937 (1986); M. V. Berry, Nature 326, 277
  • 1987

Science 301

  • 1348
  • 2003


  • Akad. Nauk SSSR 105, 465
  • 1955


  • R. Soc. A 392, 45 (1984); Geometrical Phases in Physics, edited by A. Shapere and F. Wilczek
  • 1989