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

Abstract

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

14 pages, 19 figures

References in corpus (6)

• Hall Effect of Light
• Conservation of Angular Momentum, Transverse Shift, and Spin Hall Effect in Reflection and Refraction of Electromagnetic Wave Packet
• Role of beam propagation in Goos-Hänchen and Imbert-Fedorov shifts
• Polarization, transverse shifts, and angular momentum conservation laws in partial reflection and refraction of an electromagnetic wave packet
• Geometrical Optics of Beams with Vortices: Berry Phase and Orbital Angular Momentum Hall Effect
• Quadrefringence of optical vortices in a uniaxial crystal

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