We show and investigate the optical forces acting on a particle in the vicinity of a
planar waveguide which is lled with hyperbolic material and supports propagation across its
plane (two-dimensional). The anisotropy axis of its medium lies in plane of the waveguide. In
contrast to commonly considered pushing or pulling forces, acting in one-dimensional guiding
structures, in the case of two-dimensional wave propagation, the angles between the momentum
and the total energy
ow may take any value around the circle. Accordingly, evanescent elds
out of the slab exert lateral radiative forces on a nanoparticle oriented parallel to momentum
being controllably di erent from the total energy
ow direction. This provides a
exibility in
manipulation by nanoparticles by employing suitably engineered hyperbolic structures
