Sg. Oganesyan, DENSE ELECTRON-BEAM RADIATION IN A DIELECTRIC MEDIUM, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 56(4), 1997, pp. 4683-4694
We have studied both the spectral intensity and the energy of radiatio
n produced by an electron beam in dielectric medium. Since the device
starts up from a photon vacuum the investigation is based on a quantum
electrodynamics approach. We have assumed that the electron beam long
itudinal size is indefinite and its energy spread is of Gaussian form.
In such a case the radiation process has a cutoff with respect to the
electron density rho(0). If the electron density is lower than some c
haracteristic density rho(ch) then the radiation will be mainly sponta
neous and its emission line will have Gaussian shape. If the electron
beam is dense, rho(0)>rho(ch). then a drastic change of line form take
s place. Namely, one observes a high and narrow peak (or superradiatio
n effect) on its right-hand side and radiation energy saturation on it
s left-hand side. Both of these phenomena are due to the stimulated pr
ocesses of photon absorption and emission. We have evaluated the level
of radiation fluctuations in the peak vicinity. Numerical estimations
of both obtained effects are presented.