Propagation Dynamics of Ultrashort Laguerre-Gauss Vortices in a Nonlinear Medium

We have numerically studied the propagation of ultrashort vortices through bulk fused silica. It is shown that at fixed strength of nonlinearity ultrashort Laguerre-Gauss vortices (LG) with lower value of topological charge
$l$
compressed more compared to ultrashort LG vortices with higher value of topological charge. Similar effect is also observed in the spatial domain where the undergoes focusing due the combined effect of Kerr nonlinearity and diffraction.