Time dependence of the intensity of parametric X-ray radiation produced by relativistic particles passing through crystals

Cooperative quasi-Cherenkov radiation

“…4) show that the cooperative radiation emitted at large angles lasts much longer (t rad ∼ 0.6 ns) than the particle flight time through the crystal (t p = 0.2 ns), though that is much lower than the radiation intensity emitted in forward direction. We would like to note that the long duration of parametric radiation can be observed in sponteneous processes too [4]. Figures 2 4 correspond to the frequency ν = 0.1 THz and current density j = 10 kA/cm 2 .…”

“…This paper considers cooperative radiation emitted by electron bunches when charged particles pass through crystals (natural or artificial) under the conditions of dynamical diffraction of electromagnetic waves. Note that a detailed analysis of the features of incoherent spontaneous radiation of electrons passing through crystals in both frequency [3] and time [4] domains has been carried out before. This radiation, emitted at both large and small angles with respect to the direction of electron motion, is called the parametric (quasi-Cherenkov) radiation.…”

Cooperative parametric (quasi-Cherenkov) radiation produced by electron bunches in natural or photonic crystals

“…This paper considers coperative radiation emitted by electron bunches when charged particles pass through crystals (natural or artificial) under the conditions of dynamical diffraction of elctromagnetic waves. Note that a detailed analysis of the features of spontaneous radiation of electrons passing through crystals in both frequency [3] and time [4] domains has been carried out before. This radiation, emitted at both large and small angles with respect to the direction of electron motion, is called the parametric (quasi-Cherenkov) radiation.…”

Photon Emission from Charged Particles Moving in Undulators Placed in a Photonic Crystal

“…The spectral-angular distributions of radiation from channeled particles were determined for Laue and Bragg geometries [12,13] (for more details see also [17]) and for the case of particle motion in a crystal undulator in Laue geometry [18]. In [19,20] we considered the time evolution of the radiation process in crystals (natural or photonic). It was shown that strong frequency dispersion of waves in crystals can lead to a decrease in group velocity of radiation in crystals (the wave packet can slow down), and the situation can arise when the radiation from the crystal continues even after the particle has escaped from it.…”

“…It was shown that strong frequency dispersion of waves in crystals can lead to a decrease in group velocity of radiation in crystals (the wave packet can slow down), and the situation can arise when the radiation from the crystal continues even after the particle has escaped from it. In [19,20] a detailed analysis was carried for the case of parametric (quasi-Cherenkov) radiation.…”