A classical trajectory Monte Carlo study is reported regarding charged particle transport through an electrostatic potential, which is periodic with a spatial period that is smaller than the radius of cylindrical electrodes that produce the potential. The electrodes are identically shaped and have alternating applied voltages, A Fourier series procedure is developed for obtaining computationally fast solutions for the electrostatic potential, and various quantities are determined by simulating the motion of particles that pass through the axis of symmetry. It is found that for the configuration studied, axial transport is possible for a large range of values of both the angle of divergence with respect to the axis of symmetry (angles reaching at least 100 mrad) and the particle kinetic energy (kinetic energies that span more than four orders of magnitude). The results are not dependent on the particle mass or sign of charge.
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