In this paper, a new type of electron Pearcey Airyprime beam (EPAPB) is proposed and its propagation characteristics in free space and in a constant magnetic field are numerically studied. In free space, the EPAPB achieves, for the first time, clearly separated and tunable dual auto-focusing, giving rise to a controllable electron bottle structure. The number, position, and intensity of the foci, as well as the solid/hollow morphology of the focal spot and the precession direction of the four-lobe pattern, can be flexibly adjusted via several initial parameters, enabling multidimensional wave-packet shaping. In a constant magnetic field, the otherwise single-focus EPAPB in free space displays a tunable dual auto-focusing behavior. The focal positions, intensities, and repetition count are controlled by the field strength, while the induced periodic rotation enables arbitrarily repeatable focusing events.
Ma et al. (Fri,) studied this question.
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