Propagation of elliptical Gaussian beams carrying mixed screw–edge dislocations through uniaxial crystals

The propagation expressions of elliptical Gaussian beams carrying mixed screw–edge dislocations through a uniaxial crystal orthogonal to the optical axis are derived. The effects of the source beam and crystal on the intensity and phase of such beams during propagation are discussed in detail. The obtained results show that the intensity profiles of elliptical and circular Gaussian beams carrying mixed screw–edge dislocations in uniaxial crystals are controlled by the beam parameter ratio of the waist width, edge dislocations, off-axis distance and ratio of the refractive indices of uniaxial crystals.