Pearcey beams with topological charges
A Pearcey beam is a new mode of laser that displays a cusp-caustic diffraction realized through a parabolic slit. It possesses abilities such as self-healing and auto-focusing. In this study, we numerically show the effects of applying a topological charge on a Pearcey beam. We characterized the produced beams through its intensity profile. We have also investigated the superposition of two Pearcey beams with inverse charges and measured the width of its low intensity center using full width at half maximum (FWHM). Results show negative linear correlation between the FWHM and slit width, and a positive linear correlation between the relative intensity at the axis of propagation and slit width.