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Propagation of Electron Airy Tornado Waves in Free Space and in a Uniform Magnetic Field

ANNALEN DER PHYSIK(2024)

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Abstract
In this paper, a new type of structured electron beam is introduced, which is the electron Airy tornado wave (eATW) with the characteristics of abrupt auto-focusing and rotation property in free space. It is also found that the eATWs propagate periodically in a magnetic field, and their patterns of intensity distributions show the time-like axial symmetry about a half-period point in a period of time. Furthermore, the influence of the magnetic field's magnitude and direction on eATWs with different parameters has also been discussed. In this paper, a new type of structured electron beam is introduced, which is the electron Airy tornado wave (eATW) with the characteristics of abrupt auto-focusing and rotation property in free space and in a longitudinal uniform magnetic field. It is also found that the eATWs propagate periodically in a magnetic field, and their patterns of intensity distributions show the time-like axial symmetry about a half-period point in a period of time.image
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Key words
airy function,electron beams,tornado waves,uniform magnetic field,waves
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