Effect of the Divergence of a Relativistic Electron Beam on the Diffracted Transition Radiation Excited by Them in a Sin
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of the Divergence of a Relativistic Electron Beam on the Diffracted Transition Radiation Excited by Them in a Single-Crystal Target S. V. Blazhevicha, M. V. Bronnikovaa, and A. V. Noskovb, * aBelgorod
State University, Belgorod, 308015 Russia Belgorod State Technological University named after V.G. Shukhov, Belgorod, 308012 Russia *e-mail: [email protected]
b
Received December 14, 2019; revised January 23, 2020; accepted January 25, 2020
Abstract—The dependence of the angular density and the photon yield of collimated diffracted transition radiation (DTR) generated in a thin single-crystal plate by a beam of relativistic electrons on the beam divergence are studied. An expression describing the DTR angular density averaged over all the rectangular trajectories of electrons in the beam is derived. For the averaging, the two-dimensional Gaussian distribution is used. A significant dependence of the angular density of collimated DTR photons on the electron-beam divergence is shown. An expression describing the number of collimated DTR photons is obtained. The significant dependence of the photon number of the collimated DTR is shown. Keywords: beam of relativistic electrons, beam divergence, diffracted transition radiation, single crystal, angular density DOI: 10.1134/S1027451020040230
1. INTRODUCTION When a charged particle crosses the input surface of a crystal plate, transition radiation (TR) occurs [1], which diffracts at a system of parallel atomic planes of the crystal, forming diffracted transition radiation (DTR) [2, 3]. When a charged particle crosses a crystalline plate, its Coulomb field is scattered at a system of parallel atomic planes of the crystal, generating parametric X-ray radiation (PXR) [4, 5]. In the general case of the asymmetric reflection of radiation from a plate, when the diffracting atomic planes make an arbitrary angle with the surface, dynamic effects for PXR and DTR were considered in [6–8], in which it was shown that by changing the asymmetry of reflection, one can significantly increase the radiation yields. In this work, we study the possibilities of using coherent radiation excited by electrons in a singlecrystal target to indicate the parameters of accelerated electron beams. The relevance of this problem is associated with the need to provide reliable information on the parameters of electron beams of various energies during fundamental and applied research conducted using modern accelerator installations. When conducting fundamental and applied experimental studies using electron beams of different ener-
gies, scientists are faced with the problem of insufficient information on the parameters of beams. The important parameters of a beam are its transverse dimensions and angular divergence. The main problem for physicists working with beams of relativistic electrons in the energy range 100–1000 MeV is the provision of measurements of the transverse dimensions of the beam, since the angular divergence on modern electron accelerators is on the order of 0.001 mrad, which is not
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