Controllable circular Airyprime beam with the astigmatic phase in a parabolic potential

The periodic evolution of the circular Airyprime beam (CAPB) in the parabolic potential medium is simulated for the first time, and various intriguing features are seen. We discover that the focus distance will depend on the parabolic potential parameter. In the meanwhile, we find that the shape and focal position of the beam as it propagates can be altered by changing the astigmatic factor, and the Poynting vector of the CAPB with the astigmatic phase is studied. We also contrast the differences between the CAPB and the special-shaped Airyprime beam (SAPB) under the same circumstances, and the gradient and scattering forces of the CAPB and SAPB are investigated. Our results provide insight into the circular Airyprime beams and broaden their potential applications in the parabolic potential.