Various dark hollow beams propagating in uniaxial crystals orthogonal to the optical axis

Abstract

The propagation of dark hollow beams with circular, elliptical and rectangular symmetries in uniaxial crystals orthogonal to the optical axis is investigated. Analytical formulae for various dark hollow beams propagating in uniaxial crystals orthogonal to the optical axis are derived, and the propagation properties of various dark hollow beams are studied in detail. We find that the dark hollow beam of circular or non-circular symmetry will spread in the xy plane with the increase in propagation distance, and various hollow beams can keep their initial beam profile almost invariant for a short propagation distance in uniaxial crystals.