Spatiotemporal rapidly autofocused ring Pearcey Gaussian vortex wavepackets

Abstract

We introduce a class of rapidly autofocused ring Pearcey Gaussian vortex (RPGV) beams based on the Pearcey function of catastrophe theory. The distribution of beams can be adjusted by changing the spatial distribution factor p S and topological charge m. In particular, by reducing the parameter p S , the beams can autofocus more quickly, and the peak intensity of beams at the focal point can be increased by dozens of times than that at the initial plane. Further, combining temporal Pearcey Gaussian pulses with spatial RPGV beams, spatiotemporal rapidly autofocused RPGV wavepackets are obtained, and the pulse focal point can always reach the spatial focus by setting well the normalized pulse width w T , which makes the light intensity of the spatial focal point further improve.