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We consider the propagation of a tilted high order paraxial vortex-beamthrough a homogeneous anisotropic medium of a uniaxial crystal. We found thatthe initially circularly polarized beam bearing the l-order optical vortexsplits into ordinary and extraordinary beams with a complex vortex structure.After a series of dislocation reactions the vortices gather together at theaxis of the partial beam with the initial circular polarization shaping thel-order optical vortex. However, only l-1 vortices gather together on the axisof the partial beam with the orthogonal circular polarization. One opticalvortex is shifted along the direction perpendicular to the inclination plane ofthe beam. Such a vortex displacement induces the transverse shift of thepartial beam. In fact, we deal with the beam quadrefringence in a uniaxial,homogeneous anisotropic medium. The first two beams is a result of thesplitting of the initial tilted beam into the ordinary and extraordinary once.

The transverse shift of a high order paraxial vortex-beam induced by a homogeneous anisotropic medium