Abstract
It is shown that total internal reflection of two counter-propagating Bessel beams with a phase singularity can generate evanescent light that displays a rotational character. This effect retains the phase singularity of input light, as well reflects associated orbital angular momentum. The product optical system gives rise to optical forces that can trap lateral in-plane motion of such atoms, thus acting as a trap. We have explained basic properties of this processes and discuss how they can be used to influence atoms localized in vicinity of the surface.