Propagation properties of the partially coherent asymmetric vortex beams in uniaxial crystal orthogonal to the optical axis

The propagation properties of partially coherent asymmetric vortex (PCAV) beams in uniaxial crystal orthogonal to the optical axis are studied. Propagation expression for the cross-spectral density of the PCAV beams propagating in a uniaxial crystal is derived. Based on the formulas derived, we study the propagation properties, such as the spectral density, the spectral degree of coherence, and the effective beam width of the PCAV beams inside uniaxial crystals in detail. The results show that the evolution properties of a PCAV beam in a uniaxial crystal are much different from its evolution properties in free space and are closely determined by the initial beam parameters and the parameters of the uniaxial crystal. The uniaxial crystal can modulate the distributions of the intensity and the degree of the polarization for PCAV beams, which is beneficial to the optical trapping and nonlinear optics involving in the special beam profile.