Abstract
The prospects of using crystals with asymmetric reflection geometry to determine the transverse size of relativistic electron beams based on the results of measuring the angular distributions of their radiation in a thin crystal for two distances between it and a coordinate detector are discussed. Experimental testing of this technique is carried out using an imaging plate as a two-dimensional position-sensitive detector. Measurements are made for an electron energy of 255 MeV and the reflection (220) in a silicon crystal with a thickness of 20 microns and a pixel size of 35 µm2. The distances between the crystal and the detector are 0.5 and 1 m. The obtained values of the horizontal and vertical beam sizes \({{\sigma }_{x}} = 0.32 \pm 0.02\,\,~{\text{mm}}\) and \({{\sigma }_{y}} = 1.35 \pm 0.02~\,\,{\text{mm}}\) are in satisfactory agreement with the measurement results for optical transition radiation. The possibility of characterizing X-ray plates by comparing the measured and calculated parametric X‑ray (PXR) angular distributions for several reflecting planes of crystals with an asymmetric reflection geometry and an asymmetry parameter ε less than unity is discussed.
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REFERENCES
R. B. Fiorito, in Proceedings of Particle Accelerator Conference 09 (Vancouver, 2009), p. 741.
The European X-Ray Free-Electron Laser Technical Design Report, DESY 2006-097 (2007).
H. Loos, R. Akre, F.-J. Decker, Y. Ding, D. Dowell, P. Emma, J. Frisch, S. Gilevich, G. R. Hays, P. Hering, Z. Huang, R. Iverson, C. Limborg-Deprey, A. Miahnahri, H.-D. Nuhn, J. L. Turner, J. Welch, W. White, J. Wu, and D. Ratner, in Proceedings of FEL08 (Gyeongju, 2008), p. 485.
A. Gogolev, A. Potylitsyn, and G. Kube, J. Phys.: Conf. Ser. 357, 012018 (2012). https://www.doi.org/10.1088/1742-6596/357/1/012018
Y. Takabayashi, Phys. Lett. A 376, 2408 (2012). https://www.doi.org/10.1016/j.physleta.2012.06.001
Y. Takabayashi and K. Sumitani, Phys. Lett. A 377, 2577 (2013). https://www.doi.org/10.1016/j.physleta.2013.07.035
G. Kube, C. Behrens, A. S. Gogolev, Yu. P. Popov, A. P. Potylitsyn, W. Lauth, and S. Weisse, in Proceedings of IPAC (2013), p. 491.
I. E. Vnukov, Ya. A. Goponiv, M. A. Sidnin, R. A. Shatokhin, K. Sumitanin, and Y. Takabayashi, Poverkhn.: Rentgenovskie, Sinkhrotonnye Neitr. Issled., No. 6, 57 (2019). https://www.doi.org/10.1134/S0207352819060143
Yu. A. Goponov, S. A. Laktionova, R. A. Shatokhin, M. A. Sidnin, K. Sumitani, Y. Takabayashi, and I. E. Vnukov, J. Surf. Invest.: X-ray, Synchrotron Neutron Tech. 14, 578 (2019). https://www.doi.org/10.1134/S0207352819060143
R. Rullhusen, X. Artru, and P. Dhez, Phys. Rev. Accel. Beams 22, 082803 (2019). https://www.doi.org/10.1103/PhysRevAccelBeams. 22.082803
Yu. A. Goponov, S. A. Laktionova, O. O. Pligina, M. A. Sidnin, and I. E. Vnukov, Novel Radiation Sources Using Relativistic Electrons (World Scientific, Singapore, 1999). 7. G. Kube, C. Behrens, A. S. Gogolev, Yu. P. Popov, A. P. Potylitsyn, W. Lauth, and S. Weisse, Nucl. Instrum. Methods Phys. Res., Sect. B 355, 150 (2015). https://www.doi.org/10.1016/j.nimb.2015.03.068
Yu. A. Goponov, R. A. Shatokhin, M. A. Sidnin, K. Sumitani, Y. Takabayashi, I. E. Vnukov, and I. S. Volkov, J. Instrum. 15, C04025 (2020). https://www.doi.org/10.1088/1748-0221/15/04/C04025
Yu. A. Goponov, R. A. Shatokhin, K. Sumitani, and Y. Takabayashi, Nucl. Instrum. Methods Phys. Res., Sect. A 996, 165132 (2021). https://www.doi.org/10.1016/j.nima.2021.165132
S. V. Blazhevich, M. V. Bronnikova, and A. V. Noskov, Phys. Lett. A 384, 126321 (20(20). https://www.doi.org/10.1016/j.physleta.2020.126321
S. V. Blazhevich, M. V. Bronnikova, and A. V. Noskov, J. Surf. Invest.: X-ray, Synchrotron Neutron Tech. 14, 922 (2020). https://doi.org/10.1134/S1027451020040230
S. V. Blazhevich and A. V. Noskov, Nucl. Instrum. Methods Phys. Res., Sect. B 441, 119 (2019). https://www.doi.org/10.1016/j.nimb.2018.12.043
A. V. Berdnichenko, R. A. Shatokhin, Y. Takabayashi, and I. E. Vnukov, Phys. Lett. A 409, 127537 (2021). https://www.doi.org/10.1016/j.physleta.2021.127537
A. V. Berdnichenko, I. E. Vnukov, Y. A. Goponov, R. A. Shatokhin, and Y. Takabayashi J. Surf. Invest.: X‑ray, Synchrotron Neutron Tech. 16, 273 (2022). https://doi.org/10.1134/S1027451022030053
Y. Takabayashi and A. V. Shchagin, Nucl. Instrum. Methods Phys. Res., Sect. B 278, 78 (2012). https://www.doi.org/10.1016/j.nimb.2012.02.021
A. S. S. Silva, C. S. Gomes, A. S. Machado, J. R. Nascimento, R. S. Santos, D. F. Oliveira Anjos, M. J. Dos, and R. T. Lopes, X-Ray Spectrom. 48, 375 (2019). https://www.doi.org/10.1002/xrs.3016
A. L. Meadowcroft, C. D. Bentley, and E. N. Stott, Rev. Sci. Instrum. 79, 113102 (2008). https://www.doi.org/0034-6478/2008/79(11)113102/ 4/$23.00
A. V. Berdnichenko, Yu. A. Goponov, R. A. Shatokhin, Y. Takabayashi, and I. E. Vnukov, Nucl. Instrum. Methods Phys. Res., Sect. A 1032, 166619 (2022). https://www.doi.org/10.1016/j.nima.2022.1666
M. J. Berger and J. H. Hubbell, Photon Cross Sections Database (NIST, 2017). http://www.nist.gov/pml/data/xcom/index.cfm. Cited March 21, 2022.
Yu. A. Goponov, M. A. Sidnin, I. E. Vnukov, C. Behrens, G. Kube, W. Lauth, A. S. Gogolev, and A. P. Potylitsyn, Nucl. Instrum. Methods Phys. Res., Sect. B 402, 83 (2017). https://www.doi.org/10.1016/j.nimb.2017.03.006
Yu. A. Goponov, S. A. Laktionova, M. A. Sidnin, and I. E. Vnukov, Nucl. Instrum. Methods Phys. Res., Sect. B 402, 92 (2017). https://www.doi.org/1016/j.nimb.2017.02.068
K. H. Brenzinger, C. Herberg, B. Limburg, H. Backe, S. Dambach, H. Euteneuer, F. Hagenbuck, H. Hartmann, K. Johann, K. H. Kaiser, O. Kettig, G. Knies, G. Kube, W. Lauth, H. Schoope, and Th. Walcher, Z. Phys. 358, 107 (1997). https://www.doi.org/10.1007/s002180050283
I. E. Vnukov, I. S. Volkov, Yu. A. Goponov, M. A. Sidnin, and R. A. Shatohin, Prikl. Mat. Fiz., No. 52(2), 152 (2020). https://www.doi.org/10.18413/2687-0959-2020-52-2-152-168
A. P. Potilitsyn, Izv. Vyssh. Uchebn. Zaved., Fiz.41 (4), 26 (1998).
A. S. Lobko, Experimental Studies of Parametric X-Ray Radiation (Beloruss. Gos. Univ., Minsk, 2006) [in Russian].
K.-H. Brenzinger, B. Limburg, H. Backe, S. Dambach, H. Euteneuer, F. Hagenbuck, C. Herberg, K. H. Kaiser, O. Ketting, and G. Kube, Phys. Rev. Lett. 79, 2462 (1997). https://www.doi.org/10.1103/PhysRevLett.79.2462
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Berdnichenko, A.V., Vnukov, I.E., Goponov, Y.A. et al. On the Use of Crystals with an Asymmetric Reflection Geometry to Measure the Parameters of Electron Beams. J. Surf. Investig. 17, 240–250 (2023). https://doi.org/10.1134/S1027451023010299
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DOI: https://doi.org/10.1134/S1027451023010299