Propagation characteristics and particle manipulation of petal-like Swallowtail beams

In this paper, the petal-like Swallowtail beam (PSB) is constructed for the first time, through the integration of the higher-order catastrophe beams-Swallowtail beams and the mathematical form of SU(2), and we deeply investigate the effects of different parameters on its propagation in free space. Our findings indicate that the number, width, bending and field strength distribution of the lobes at the initial plane can be precisely controlled by adjusting the parameters, more importantly, these also affect the class full width at half maximum and focal strength of the PSB while maintaining the focal length. By analyzing the gradient forces and scattering forces, we theoretically demonstrate that the PSB can keep the Rayleigh particles bound at the focal point. Finally, we experimentally generate the PSB beam with which we successfully capture and manipulate particles. These conclusions not only promote the study of combining different beams and mathematical models, but also provide new options for applications such as particle manipulation.