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We theoretically analyzed spatiotemporal optical vortex pulses, revealing their angular momentum properties. This work predicts observable spin-orbit interactions, advancing the understanding of these complex light states.

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Area of Science:

  • Quantum Optics
  • Light-Matter Interactions
  • Wave Phenomena

Background:

  • Spatiotemporal optical vortex (SPOV) pulses with transverse orbital angular momentum have been experimentally generated.
  • A comprehensive theoretical framework for analyzing these states and their angular momentum properties is currently lacking.

Purpose of the Study:

  • To provide a rigorous theoretical analysis of SPOV pulses.
  • To investigate their propagation, polarization, and angular momentum characteristics.
  • To predict observable spin-orbit interaction phenomena.

Main Methods:

  • Development of scalar and vector spatiotemporal Bessel-type solutions.
  • Calculation of local densities and integral values for spin and orbital angular momenta.
  • Analysis of the coupling between transverse spin and orbital angular momentum.

Main Results:

  • Detailed theoretical description of SPOV pulse propagation and polarization.
  • Quantification of spin and orbital angular momentum distributions.
  • Prediction of observable spin-orbit interaction effects.

Conclusions:

  • The theoretical framework accurately describes SPOV pulses and their angular momentum.
  • The findings enable the prediction of novel spin-orbit interaction phenomena.
  • The analysis is extendable to other types of spatiotemporal vortex pulses, including acoustic ones.