  Spatiotemporal optical vortices (STOVs) are short pulses that present a
vortex whose axis is perpendicular to the main propagation direction. We
present analytic expressions for these pulses that satisfy exactly Maxwell's
equation, by applying appropriate differential operators to complex focus
pulses with Poisson-like frequency spectrum. We also provide a simple ray
picture for understanding the deformation of these pulses under propagation.
Finally, we use these solutions to propose a type of pulse with sagittal
skyrmionic polarization distribution covering all states of transverse
polarization.
