2016
DOI: 10.1103/physreva.93.053825
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Quantum calculation of the Vavilov-Cherenkov radiation by twisted electrons

Abstract: We present the detailed quantum electrodynamical description of Vavilov-Cherenkov radiation emitted by a relativistic twisted electron in the transparent medium. Simple expressions for the spectral and spectral-angular distributions as well as for the polarization properties of the emitted radiation are obtained. Unlike the plane-wave case, the twisted electron produces radiation within the annular angular region, with enhancement towards its boundaries. Additionally, the emitted photons can have linear polari… Show more

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Cited by 46 publications
(48 citation statements)
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“…Vortex electrons can also contribute to the study of fundamental interaction phenomena besides electron microscopy. Two directions which can be pursued with current technology are: (i) the interaction of vortex electrons with intense laser fields [108,109] and (ii) radiation processes with vortex electrons (e.g., the Vavilov-Cherenkov and transition radiations), which were predicted to depart from their usual expressions [110,111,112,113]. For instance, vortex electrons (carrying large OAM and magnetic moment) can reveal the magnetic-moment contribution to the transition radiation, which has never been observed before.…”
Section: High-energy Perspective: Scattering and Radiationmentioning
confidence: 99%
“…Vortex electrons can also contribute to the study of fundamental interaction phenomena besides electron microscopy. Two directions which can be pursued with current technology are: (i) the interaction of vortex electrons with intense laser fields [108,109] and (ii) radiation processes with vortex electrons (e.g., the Vavilov-Cherenkov and transition radiations), which were predicted to depart from their usual expressions [110,111,112,113]. For instance, vortex electrons (carrying large OAM and magnetic moment) can reveal the magnetic-moment contribution to the transition radiation, which has never been observed before.…”
Section: High-energy Perspective: Scattering and Radiationmentioning
confidence: 99%
“…In our case, 1 = 0. Notice that, in the paraxial regime, n ⊥ 1, even the twisted photons with m = 0 and definite helicity s possess a nontrivial phase front corresponding to the orbital angular momentum l = m − s = −s [17]. The probability to record a twisted photon radiated by one particle moving along a straight line parallel to the detector axis at a distance |x + | is obtained from (90) by the substitution…”
Section: Dielectric Platementioning
confidence: 99%
“…We investigate in the present paper a direct means for production of twisted photons by charged particles moving in an inhomogeneous dispersive medium. As far as a homogeneous medium is concerned, the theory of radiation of twisted photons is known in this case (see the description of the Vavilov-Cherenkov process in [16,17]). However, the detectors of twisted photons [18][19][20][21][22][23] or the objects that should be irradiated by them [24][25][26][27] are usually positioned outside of the medium.…”
Section: Introductionmentioning
confidence: 99%
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“…Using a covariant position operator for the Dirac electron, we also introduced the corresponding separately conserved spin and orbital AM of a relativistic electron and described observable spin-orbit interaction (SOI) effects. Later, Dirac-Bessel electron beams were employed in the contexts of high-energy physics, scattering, and radiation problems [8,[10][11][12][13][14][15].…”
Section: Introductionmentioning
confidence: 99%