Bessel function

Physics

Spin–orbit interaction

Vortex

Orbital angular momentum multiplexing

Physical chemistry

Angular momentum

Photon

Orbital angular momentum of light

Chemistry

Azimuthal quantum number

Orbital motion

Polarization (electrochemistry)

Angular momentum coupling

Geometry

Quantum electrodynamics

Observable

Mathematics

Spin (aerodynamics)

Total angular momentum quantum number

Scalar (mathematics)

Mechanics

Quantum mechanics

Classical mechanics

Thermodynamics

Angular momentum of light

Physical Review Letters

Recently, spatiotemporal optical vortex pulses carrying a purely transverse intrinsic orbital angular momentum were generated experimentally [{\it Optica} {\bf 6}, 1547 (2019); {\it Nat. Photon.} {\bf 14}, 350 (2020)]. However, an accurate theoretical analysis of such states and their angular-momentum properties remains elusive. Here we provide such analysis, including scalar and vector spatiotemporal Bessel-type solutions as well as descrption of their propagational, polarization, and angular-momentum properties. Most importantly, we calculate both local densities and integral values of the spin and orbital angular momenta, and predict observable spin-orbit interaction phenomena related to the coupling between the trasnverse spin and orbital angular momentum. Our analysis is readily extended to spatiotemporal vortex pulses of other natures (e.g., acoustic).

Spatiotemporal Vortex Pulses: Angular Momenta and Spin-Orbit Interaction