Transverse and lateral shifts of the center of gravity of a refracted nonparaxial Bessel beam

Abstract

By applying geometrical optics (GO) to each plane-wave component of a nonparaxial electromagnetic (em) Bessel beam carrying spin and orbital angular momentum (SAM and OAM), we calculate the shift of the beam centroid during propagation in a weakly inhomogeneous, isotropic medium. Apart from recovering the transverse spin and orbital Hall shifts expected from paraxial theory, the nonparaxial treatment reveals additional shifts in both the transverse and lateral directions. When the propagation is close to perpendicular to the refractive index gradient, these shifts should be significant also for nearly paraxial beams. Suggestions are given for an experimental verification of the results.

Goos–Hänchen and Imbert–Fedorov beam shifts: an overview

“…The beam-shift effects can also be sensitive to the shape of the incident beam. In addition to the Gaussian and Laguerre-Gaussian beams, the beam shifts were considered for the following types of beams: paraxial Bessel [81], non-paraxial Bessel [126], Laguerre-Gaussian with higher radial order [127], Hermite-Gaussian [128,129], and for the dipole radiation [74]. General aspects of the shape-dependent and shape-independent beam shifts are analyzed in [130].…”