Nonparaxial propagation of Lorentz-Gauss vortex beams in uniaxial crystals orthogonal to the optical axis

Analytical expressions for the components of the nonparaxial propagation a Lorentz-Gauss vortex beam in uniaxial crystals orthogonal to the optical axis are derived. The intensity and the phase distributions of the components of a Lorentz-Gauss vortex beam propagating in a uniaxial crystal orthogonal to the optical axis are shown by numerical examples. Even though one of the two transversal components of a Lorentz-Gauss vortex beam in the source plane is equal to zero, it emerges upon propagation inside the uniaxial crystal. Moreover, the beam profile of a Lorentz-Gauss vortex beam in the uniaxial crystal becomes twisted and tilted. The three components are completely different and have their respective evolution laws. The intensity distribution and the phase distribution of a Lorentz-Gauss vortex beam can be modulated by the uniaxial crystal, which is beneficial to the optical trapping and nonlinear optics involving in the special beam profile.