Spin and orbital Hall effects for diffracting optical beams in gradient-index media

Abstract

We examine the evolution of paraxial beams carrying intrinsic spin and orbital angular momenta (AM) in gradient-index media. A parabolic-type equation is derived which describes the beam diffraction in curvilinear coordinates accompanying the central ray. The center of gravity of the beam experiences transverse AM-dependent deflections -- the spin and orbital Hall effects. The spin Hall effect generates a transverse translation of the beam as a whole, in precise agreement with recent geometrical optics predictions. At the same time, the orbital Hall effect is significantly affected by the diffraction in the inhomogeneous medium and is accompanied by changes in the intrinsic orbital AM and deformations of the beam.

4 pages, 2 figures, to appear in Phys. Rev. A

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• Optical nanoprobing via spin-orbit interaction of light
• Geometrodynamics of polarized light: Berry phase and spin Hall effect in a gradient-index medium
• Topological aberration of optical vortex beams and singularimetry of dielectric interfaces
• Scattering of twisted particles: extension to wave packets and orbital helicity
• Geometrical phase and Hall effect associated with the transverse spin of light
• Spin Hall effect of light in photon tunneling
• Role of transverse-momentum currents in the optical Magnus effect in free space
• Electromagnetic wave propagating along a space curve
• Paraxial spin transport using the Dirac-like paraxial wave equation
• Complex orbital dynamics of a double neutron star system revolving around a massive black hole
• The propagation of a polarized Gaussian beam in a smoothly inhomogeneous isotropic medium
• Gravitational orbital Hall effect of vortex light in Lense-Thirring metric
• The spin-orbit interaction and the spin-spin interaction of photons in an inhomogeneous medium