Guiding the circular Airyprime Gaussian beam propagation along predesigned trajectories in the Kerr Medium

This paper investigates the phase trajectory control of the circular Airyprime Gaussian beam (CAPGB) within the Kerr medium. We analyze the effects of linear and parabolic phase control trajectories on the transmission characteristics of the CAPGB, comparing these results with the initial transmission metrics. These results demonstrate that phase control of the CAPGB facilitates the manipulation of both the beam transmission direction and the phase distributions. This allows the beam to propagate along pre-designed trajectories, with its phase concomitantly evolving. The phase trajectory control of the CAPGB along pre-designed trajectories holds promising potential for applications in optical trapping and particle manipulation. • The beam propagates along the predetermined trajectory. • Phase trajectory control in the Kerr medium. • This research can be applied to the fields of optical trapping and particle manipulation.