X-ray diffraction radiation in conditions of Cherenkov effect

Conical effect in diffraction radiation

“…Noting that q z ¼ ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi q 2 À q 2 x À q 2 y q : It should be noticed that the same results can be obtained with help of polarization currents method [1,6,8].…”

“…Generally speaking, the radiation can be refracted and reflected from the upper and forward sides. In earlier works the refraction was neglected [6][7][8]12]. However, in our later works [13][14][15] we found that even in X-ray frequency region, where materials are practically transparent, it is needed to allow for the law of refraction when the coherent effects take place.…”

“…The target is a strip of the size (a, 1, b). To calculate the spectral-angular distribution we shall use the polarization currents method suggested for calculation of X-ray transition radiation by Durand [12] and developed in theory of X-ray DR in articles [6][7][8] for single particle and in [13][14][15] for bunches. The method consists in calculation of the radiation field due to polarization currents induced by the moving charge in target and following consideration of the processes of refraction on a surface of the target.…”

Effect of Vavilov–Cherenkov radiation cone transformation upon entry of a relativistic electron into a substance layer

“…A condition for the manifestation of VC radiation is (5) where the sign ± determines the possibility of VC radiation generation by the incoming (plus sign) and outgoing (minus sign) electron in connection with the reversal of the sign of ( for coming in and …”

“…This possibility is theoretically described in [1] and experimentally confirmed in [2][3][4]. The X-ray region of energies of emitted photons is also of interest because of possible photon diffraction on surface (diffraction gratings) [5] and bulk (X-ray multilayer mirrors, crystals) [6,7] periodic structures, which allows occurrence of effects that are not observed in ordinary examination of VC radiation.…”