Influence of modulation parameters on the self-focusing characteristics of rectangular Airy vortex beam

This study investigates the self-focusing characteristics of a rectangular Airy vortex beam (RAVB) via phase modulation. Numerical simulations are conducted to examine the influence of modulation parameters, including linear factor ( c ), topological charge ( l ) and wavelength ( λ ) on RAVB self-focusing characteristics. The focus depth, focus spot size and peak intensity of RAVB can be effectively controlled via the modulation parameters. Among these parameters, c has the most significant impact on RAVB self-focusing characteristics. As c increases from 4 to 8, the focus depth changes from 8 cm to 41 cm, while the peak intensity increases to 50 times. Although variations in l and λ also contribute to increases in both focus depth and peak intensity, their effects are relatively minor compared to those of c .