Abstract:
Several experimental groups have recently obtained the so-called
vortex electrons (electrons with orbital angular momentum (OAM) of
$\ell \leq 100\,\hbar$) with energies of $\sim 300$ keV.
The angular momentum of such
electrons becomes proportional to the OAM value, which leads to the
corresponding increase of the electron magnetic moment. In this paper, we
investigate the transition radiation from the "charge $+$ magnetic moment"
system by means of the classical electrodynamics theory. The circular
polarization of optical transition radiation reaches its maximum level to
$\sim 70\,\%$, which allows to use this effect for the independent measurement
of the electron orbital momentum value.
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