Generation of a family of Pearcey beams and their optical structure

Based on differential geometry and optical diffraction theory, the determinants of optical structure of Pearcey beams are examined. We theoretically propose and experimentally observe a bundle of Pearcey beams with different optical topology structures. Besides, we have studied their properties and the results show that the structure of Pearcey beams can be flexibly controlled, hence they will be expected to play a new role in some research fields.