Propagation dynamics of abruptly autofocusing circular Airy Gaussian vortex beams in the fractional Schrödinger equation

We introduce axisymmetric Airy-Gaussian vortex beams in a model of an optical system based on the (2+1)-dimensional fractional Schrödinger equation (FSE), characterized by its Lévy index (LI), 1<??2. By means numerical methods, we explore propagation dynamics with vorticities from 0 to 4. The leads abrupt autofocusing, followed reversal (rebound center). It is shown that LI, relative width Airy and Gaussian factors, vorticity determine properties autofocusing dynamics, including focusing distance, radius focal light spot, peak intensity at focus. A maximum attained intermediate values close ?=1.4. Dynamics carrying pairs (split double vortices) considered too.