Calculations of intensity of radiation in crystal undulator

Channeling and Radiation in Periodically Bent Crystals

“…In this case the characteristics of undulator radiation are practically independent on channeling oscillations [3,4], and the operational principle of a crystalline undulator is the same as for a conventional one (see, e.g., [58][59][60][61][62]) in which the monochromaticity of radiation is the result of constructive interference of the photons emitted from similar parts of trajectory, see In this case the characteristics of undulator radiation are practically independent on channeling oscillations [3,4], and the operational principle of a crystalline undulator is the same as for a conventional one (see, e.g., [58][59][60][61][62]) in which the monochromaticity of radiation is the result of constructive interference of the photons emitted from similar parts of trajectory, see …”

“…The results of simulation were based on the procedure described in [59] (see also the earlier paper [211] by one of the authors). The procedure includes calculation of the planar trajectory of the particle in PBCr followed by numerical calculation of the intensity dE/ dω with the help of the unspecified formula from [37].…”

“…The account on the dechanneling was made on a model level assuming the exponential decrease in the number of channeling particles with the penetration distance (see (4.12)). 4.3.1.2, 4.4, 5.2 and Appendix A.2, was presented at length in [158,183] which somehow were overlooked by the authors of [59]. This approach, described in Sects.…”

Channeling radiation of multi-GeV positrons in single crystals

“…Use of such formalism has allowed one to overcome some difficulties in determining the radiation occurring at sufficiently large amplitudes. 6,8 The radiation type of a relativistic particle depends on the value of multipole parameter ρ. When ρ 1, it corresponds to the interference type (dipole approximation) of the radiation formed along sufficiently large length of the crystal.…”

Optical Transition Radiation in Presence of Acoustic Waves for an Oblique Incidence

“…The considerations of processes, such as diffraction radiation, 20,21 parametric Xradiation, 22 channeling radiation, [23][24][25][26][27][28][29] bremsstrahlung of high-energy electrons, 30,31 electron-positron pair creation by high-energy photons, 32,33 have shown that the external fields can remarkably change the spectral and angular characteristics of the radiation intensities. Recently there has been broad interest in compact crystalline undulators with periodically deformed crystallographic planes as an efficient source of high energy photons [34][35][36][37][38][39][40][41][42][43] (for a review see Ref. 44).…”