Angular Momenta and Spin-Orbit Interaction of Nonparaxial Light in Free Space

Abstract

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. Both quantum-operator formalism and classical energy-flow approach are presented. We apply the general theory to symmetric and asymmetric Bessel beams exhibiting spin- and orbital-dependent intensity profiles. The exact wave solutions are clearly interpreted in terms of the Berry phases, quantization of caustics, and Hall effects of light, which can be readily observed experimentally.

8 pages, 3 figures

References in corpus (24)

• Two-Dimensional Gas of Massless Dirac Fermions in Graphene
• Experimental Observation of Quantum Hall Effect and Berry's Phase in Graphene
• Hall Effect of Light
• Conservation of Angular Momentum, Transverse Shift, and Spin Hall Effect in Reflection and Refraction of Electromagnetic Wave Packet
• Geometrodynamics of Spinning Light
• Observation of the spin-based plasmonic effect in nanoscale structures
• Coriolis Effect in Optics: Unified Geometric Phase and Spin-Hall Effect
• Optical nanoprobing via spin-orbit interaction of light
• Geometrodynamics of polarized light: Berry phase and spin Hall effect in a gradient-index medium
• Geometrical Optics of Beams with Vortices: Berry Phase and Orbital Angular Momentum Hall Effect
• How orbital angular momentum affects beam shifts in optical reflection
• Topological spin transport of photons: the optical Magnus Effect and Berry Phase
• Goos-Hänchen and Imbert-Fedorov shifts of polarized vortex beams
• Spin Hall effect and Berry phase of spinning particles
• Duality Between Spatial and Angular Shift in Optical Reflection
• Quantum Mechanical Properties of Bessel Beams
• Angular momentum of non-paraxial light beam: Dependence of orbital angular momentum on polarization
• Non-Abelian evolution of electromagnetic waves in a weakly anisotropic inhomogeneous medium
• Photon position operators and localized bases
• Spin and orbital Hall effects for diffracting optical beams in gradient-index media
• A Simple Analytical Model of the Angular Momentum Transformation in Strongly Focused Light Beams
• Angular momentum and the geometrical gauge of localized photon staes
• Semiclassical quantization of electrons in magnetic fields: the generalized Peierls substitution
• Dynamical supersymmetry of spin particle-magnetic field interaction

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• Internal flows and energy circulation in light beams
• Does a Surface Polariton Have Spin?
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• Photon trajectories, anomalous velocities, and weak measurements: A classical interpretation
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• Resolution of a conflict between Laser and Elementary Particle Physics
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• Vector Bessel beams: general classification and scattering simulations
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• Zero curvature is a necessary and sufficient condition for a spin-orbital decomposition
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• Optical Angular Momentum in Classical Electrodynamics
• Conservation law for angular momentum based on optical field derivatives: Analysis of optical spin-orbit conversion
• Spiraling light: from donut modes to a Magnus effect analogy
• Understanding the electromagnetic 4-potential in the tetrad bundle
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