Propagation of a rectangular Laguerre-Gaussian correlated Schell-model beam in uniaxial crystal

The analytical equation of a rectangular Laguerre-Gaussian correlated Schell-model (LGCSM) beam in uniaxial crystal orthogonal to the optical axis is derived. The intensity and coherence properties of a rectangular LGCSM beam in uniaxial crystal are investigated by numerical simulations. It is shown that the symmetry of intensity and coherence distribution can be modulated by the n(e)/n(o). When n(e)/n(o) > 1 of uniaxial crystal, the multiple beams generating by a rectangular LGCSM beam will spread faster along x-direction than y-direction at the longer distance. The physical explanations of evolutions are analyzed in detail.