Spatiotemporal Vortex Pulses: Angular Momenta and Spin-Orbit Interaction

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.} 14}, 350 (2020)]. However, an accurate theoretical analysis of such states and their angular-momentum properties remains elusive. Here we provide analysis, including scalar vector Bessel-type solutions as well descrption propagational, polarization, properties. Most importantly, calculate both local densities integral values the spin momenta, predict observable spin-orbit interaction phenomena related to coupling between trasnverse momentum. Our is readily extended other natures (e.g., acoustic).