Sharp-Edge Diffraction of Laguerre-Gauss Vortex Beams by Elliptic Apertures

A semi-analytical computational algorithm to model the wavefield generated by paraxial diffraction of a class of Laguerre-Gauss beams by sharp-edge elliptic apertures is here developed. It is conceived as a sort of "numerical laboratory" aimed at exploring, within the simplest possible geometry, some aspects of an intriguing singular optics scenario, involving vortices and caustics interaction.