The passage of a vortex electron over an inclined grating
- URL: http://arxiv.org/abs/2112.12696v1
- Date: Thu, 23 Dec 2021 16:44:49 GMT
- Title: The passage of a vortex electron over an inclined grating
- Authors: A. Pupasov-Maksimov, D. Karlovets
- Abstract summary: We study Smith-Purcell radiation from an inclined passage of a shaped electron wave packet with an electric quadrupole moment in the non-paraxial regime.
The impact of the wave-packet shape can be observed experimentally by comparing the radiation for different orientations of the grating in the single-electron regime.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We study Smith-Purcell radiation from a conducting grating generated by an
inclined passage of a shaped electron wave packet with an electric quadrupole
moment in the non-paraxial regime. Spreading of an asymmetric wave packet
induces quadrupole corrections to the radiation field. Although the
non-paraxial corrections stay small, they are dynamically enhanced during the
interaction of the electron with the grating whose length exceeds the Rayleigh
length of the packet.
To simplify the possible experimental setup where such effects could be
measured, we study the dependence of these effects on the inclination angle,
i.e. the angle between the mean velocity of the packet and the surface of the
grating. There is a minimal angle such that the multipole expansion always
stays valid at the grating surface. In such a regime, the quadrupole
contribution to the Smith-Purcell radiation can become the leading one, which
represents a novel quantum effect impossible for classical point-like
electrons.
Thus, the impact of the wave-packet shape (vortex structure or non-spherical
shape) can be observed experimentally by comparing the radiation for different
orientations of the grating in the single-electron regime.
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