Figure 2: Simulation results in the non-linear propagation regime in air.
From: Sharply autofocused ring-Airy beams transforming into non-linear intense light bullets

(a) Peak intensity distribution of the ring-Airy beam versus propagation distance for various input powers. (b) Maximum peak intensity at the plateau region (z=40 cm) as a function of the input power for the ring-Airy (black squares), EEGB (blue triangles) and ECGB (red dots). (c) Graphic representation of accelerating ring-Airy beams in the linear and non-linear regime.