The Propagation Dynamics of the Symmetric Pearcey Gaussian Beam in the Kerr Medium

In this paper, symmetric Pearcey Gaussian beams (SPGBs) are studied in a Kerr medium. By varying the initial input power, the autofocusing ability of the beams is investigated, to find a clear restrictive relationship between the breath-like structure and the initial input power. The critical collapse power is investigated when SPGBs change from discrete beams to regular breath-like structure. Finally, the transmission of SPGBs is discussed under different phase modulation when SPGBs are affected by astigmatic, the whole beam is rotated and the angle of rotation can be controlled.