Investigation of planar electron channelling radiation generated in quartz single crystals

Abstract

Measurements of planar channelling radiation generated in a variety of crystallographic planes of a quartz single crystal have been performed at the radiation source ELBE at electron energies of 17, 25 and 32 MeV. The quantum theory of channelling radiation has been applied for the interpretation of the observed spectra. Planar continuum potentials, transverse electron states, transition energies and line widths have been calculated. Taking the population dynamics of states during channelling into account, spectral distributions of the channelling radiation could be simulated, which reveal good quantitative agreement with the measured spectra.

Study of tunable narrow-band THz and high-intensity channeling radiation sources with a 50 MeV class photo-injector

“…The photon yield for states i ! f per steradian per photon energy per electron is written as [20,34,100,101]…”

Planar channeling radiation by relativistic electrons in different structures of silicon carbide

“…It should be underlined that the integral in (10) has to be taken over the Bloch momenta, k. A second integral may be taken over the occupation P i of the state i along a given crystal thickness z = L to calculate the spectral-angular distribuition of CR. Both the intrinsic CR linewidth and the occupation probability of the state i are calculated as given in [3] and [17], respectively.…”

“…In such crystals, intense CR is observed from channeling along planes with small indices such as (100), (110) and (111). In our previous papers [16,17] we investigated CR generated in different planes of a quartz crystal (SiO 2 ) which has a hexagonal structure. The more complicate structure of the binary quartz crystal (compared with cubic crystals such as, e.g., diamond, Si or Ge) allows for planes with relatively large indices, which have rather deep continuum potentials favouring CR emission.…”

Optics and bremsstrahlung estimates for channeling radiation experiments at FAST

“…The CR spectrum calculations reported here were done using a Mathematica notebook which was significantly corrected and modified from the published version [11], this modified version was used to successfully compare simulations with experimental results from a previous channeling experiment [8]. The CR energies for a diamond crystal and 43 MeV electron energy are shown in Table 2-1 for photons emitted at an angle of 0 degrees with respect to the incident electron beam.The photon yield for states 𝑖 → 𝑓 per steradian per photon energy per electron is written as [3,8,11,12]…”

“…The photon yield for states 𝑖 → 𝑓 per steradian per photon energy per electron is written as [3,8,11,12]…”