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Theoretical investigation on the propagation of hollow beam electronics based on single-particle model

Based on single-particle model, the propagation of hollow beam electronics was analyzed by calculating the outer electronic motion equation. In the condition without the magnetic field, the relation of the radial motion depending on beam radius and voltage values was indicated and the physical reason was addressed. In this paper, the motion equation of outer electrons was deviated to explain the influence of voltage with different radius of hollow beams.