Propagation of a radially polarized Pearcey beam in uniaxial crystals

We investigate the propagation properties and the radiation forces of a radially polarized Pearcey beam (RPPB) in uniaxial crystals analytically and numerically in this paper. Obtaining the propagation expression of an RPPB, we perform the intensity (in the x-direction, in the y-direction and in the synthesizing direction), the polarization direction, the energy flow and the angular momentum of an RPPB with the method of numerical calculation. The propagating properties of an RPPB in the free space are shown for comparison. The auto-focusing and the inversion of an RPPB propagating in uniaxial crystals are demonstrated. The influence of the extraordinary refractive index and the ordinary refractive index on an RPPB in the uniaxial crystals is discussed. (paper)