Total internal reflection of vector Bessel beams: Imbert–Fedorov shift and intensity transformation

Abstract

Total internal reflection of vector Bessel beams is studied. Transmitted beams are described by the evanescent fields, the energy fluxes of which show the shift of the reflected beam. As is well known, the Imbert–Fedorov shift is the lateral displacement of the plane wave leading the reflected beam out from the plane of incidence. Using an analogy with plane waves, the Imbert–Fedorov shift is introduced for the Bessel beams. This shift results in the intensity redistribution of the reflected beam compared with the incident one. The conditions of the Bessel beam intensity transformation from a squared Bessel beam function of the order m−1 (Jm−12-profile) to a squared Bessel beam function of the order m+1 (Jm+12-profile) are derived.