Indication of the Divergence of a Beam of Ultrarelativistic Electrons by a Diffracted Transition Radiation
DOI:
https://doi.org/10.52575/2687-0959-2024-56-2-136-145Keywords:
Relativistic Electrons, Diffracted Transition Radiation, Indication of Electron Beam DivergenceAbstract
The diffracted transition radiation (DTR) produced by a beam of relativistic electrons traversing a thin single-crystal plate in the Laue scattering geometry is considered. We have obtained the expression describing the angular density of the DTR for the case when the path length of the electron in the target is far less than the extinction length of X-rays in the crystal. It is shown that in this case the considered DTR process has the explicit kinematic character. The numerical calculations of the yield of DTR photons in the direction of Bragg scattering performed for various values of the registration solid angle
show a significant influence of the electron beam divergence on the photon yield. We have arrived at a conclusion that the measured photon output of DTR radiation emitted in a given solid angle can be used for indication of the electron beam divergence. The model calculations of the electron beam divergence parameters on the base of “measured” yield of DTR photons traversing through a slit collimator are carried out. The results of the calculation show that the proposed in this work formula can be successfully used as a base for the development of methods for measuring the divergence of beams of relativistic ultrahigh-energy electrons based on DTR angular distribution.
Downloads
References
Baer, Howard T., Barklow et al. The international linear collider. Technical design report. Deutsches Elektronen-Synchrotron (DESY). 2013; 2: physics. arXiv preprint arXiv:1306.6352.
CLIC collaboration et al. A multi-TEV linear collider based on CLIC technology: CLIC Conceptual Design Report. CERN, Geneva, Switzerland, Rep. CERN-2012-007. 2012.
Takabayashi Y. Parametric X-ray radiation as a beam size monitor. Physics Letters A. 2012;376(35):2408-2412.
Takabayashi Y., Sumitani K. New method for measuring beam profiles using a parametric X-ray pinhole camera. Physics Letters A. 2013;377(38):2577–2580.
Kalinin BN., Potylitsin AP., Verzilov VA. et al. Possible application of PXR to the beam-divergence measurements. Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment. 1994;350(3):601–604.
Gogolev A., Potylitsyn A., Kube G. A possibility of transverse beam size diagnostics using parametric X-ray radiation. Journal of Physics: Conference Series 357 012018. 2012;357:P 012018.
Caticha A. Transition-diffracted radiation and the Cerenkov emission of x rays. Physical Review A. 1989;40(8):4322–4329.
Baryshevsky VG. Parametric X-ray radiation at a small angle near the velocity direction of the relativistic particle. Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms. 1997;122(1):13-18.
Artru X. Parametric X-rays and diffracted transition radiation in perfect and mosaic crystals. Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms. 1998;145(1–2):1–7.
Nasonov NN. Influence of the density effect upon the parametric X-rays of high energy particles. Physics Letters A. 1998;246(1–2):148–150.
Blazhevich SV., Grazhdankin GA., Zagorodnyuk RA., Noskov AV. Influence of ultrarelativistic electron beam divergence on spectral–angular characteristics of coherent X-radiation generated in a single-crystal target. Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms. 2015;355:170–174.
Abstract views: 79
##submission.share##
Published
How to Cite
Issue
Section
Copyright (c) 2024 Applied Mathematics & Physics
This work is licensed under a Creative Commons Attribution 4.0 International License.
