Optical force acting upon a dielectric microparticle illuminated by a non-diffracting vortex beam is expressed using the Generalized Lorenz-Mie theory (GLMT). Numerical results are presented for different widths and topological charges of the vortex beam. We show that such particle may be stably trapped either in the dark center of the vortex beam, in one of two stable positions placed off the optical axis, and as the third option it may circulate along almost circular trajectory having its radius smaller or equal to the radius of the smallest high intensity vortex ring.
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