There exist a variety of methods and platforms for generation of OAM beams. However, all these techniques imply that beams pass through an optical component and thus, when pulsed beam is used, the pulses can acquire dispersive broadening and distortion. The design of compact and efficient devices for OAM generation requires that these effects be characterized and quantified, and a set of parameters and techniques for their treatment should be developed. Here, the spatio-temporal properties of the ultrashort vortical pulses are analyzed numerically. Case studies will be presented. The results obtained are characterization of the effects of dispersion, geometry and discretization in the numerical modeling of ultrashort vortical pulses under various propagation conditions, and can serve as a basis for design of new optical devices.
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