Theoretical interpretation of parametric X-ray spectra

Diffraction phenomena in spontaneous and stimulated radiation by relativistic particles in crystals (Review)

“…17 of experimental errors the increase of the radiation output, introduced by the diffraction of the real photons of bremsstralung produced in Al target, has not been observed. Tllis fact totally coincides with the theoretical estimations of contributions from various mechani~ms of radiation to the total yield of X-ray radiation in the diffraction peak (see [43]). According to [43], the ratio of photons produced due to diffraction of bremsstralung (DB) to the photons of PXR in the same reflex is detennined by the universal function (2.45) where Z is the charge of atom nucleus of the medium, E is the particle energy, 111 is the mass of radiating particle.…”

“…In this case the general fonnulae, obtained in § 2, cannot be applied. For the correct interpretation of experimental results, the theory of PXR in the case of the asymmetric diffraction was derived in [43,44]. The specific feature of asymmetric diffraction is that, in this case, it is necessary to take into account the tenns of dispersion equation quadratic in a.…”

“…In [43,44] the spectral and angular distributions of PXR were obtained. The total number of photons radiated in a diffraction peak can be represented in the following form: (2.44) where e; is the mean square angle of multiple scattering, aD is the angular spread of the photon beam, a is the transverse size of this beam along the Z-axis.…”

“…Let us follow below the theoretical consideration of PXR derived in [34][35][36][37][42][43][44][45][46]56], According to (2.9), for the calculation of the differential number of emitted photons we need know the solution ~-) (r,ro) which was given, for example, in [2,17] for an arbitrary geometry of two-beam diffraction (Bragg and Laue, see Fig. 3).…”

“…The analysis of radiation in detail and numerical calculation of the integral intensity into the diffraction peak was perfonned in [38][39][40][41]. The theory ofPXR taking into account the multiple scattering of particles by a crystal was derived in [42][43][44][45][46]. The results, obtained by different authors in [47][48][49][50][51], coincide, in general, with the results given in [34][35][36][37] and [4,[38][39][40][41].…”