Simulation of Vavilov–Cherenkov radiation and cathodoluminescence in diamond

Artyomov K.P., Burachenko A.G., Ripenko V.S., Lipatov E.I., Krylov A.A., Vukolov A.V.

For Russian citation (Opticheskii Zhurnal):

Артёмов К.П., Бураченко А.Г., Рипенко В.С., Липатов Е.И, Крылов А.А., Вуколов А.В. Моделирование излучения Вавилова–Черенкова и катодолюминесценции в алмазе // Оптический журнал. 2026. Т. 93. № 6. С. 3–14. http://doi.org/10.17586/1023-5086-2026-93-06-3-14

Artyomov K.P., Burachenko A.G., Ripenko V.S, Lipatov E.I., Krylov A.A., Vukolov A.V. Simulation of Vavilov–Cherenkov radiation and cathodoluminescence in diamond [in Russian] // Opticheskii Zhurnal. 2026. V. 93. № 6. P. 3–14. http://doi.org/10.17586/1023-5086-2026-93-06-3-14

For citation (Journal of Optical Technology):

Abstract:

Subject of study. Vavilov–Cherenkov radiation and cathodoluminescence spectra of diamond samples with different impurity-defect compositions in the range of 225–900 nm under the action of an electron beam with an energy of 5.7 MeV. Aim of study. Obtaining spectral-angular and spatial characteristics of Vavilov–Cherenkov radiation and cathodoluminescence taking into account ionization losses of electron energy and electron scattering in diamond, dispersion of the refractive index and transmission spectra of diamond. Method. The simulation of the generation of Vavilov–Cherenkov radiation and cathodoluminescence in diamond was carried out in the Geant4 software package using the Monte-Carlo method. Main results. Good agreement was obtained between the experimental and calculated spectra of Vavilov–Cherenkov radiation and cathodoluminescence using the example of two diamond samples with different impurity-defect compositions. The effect of scattering on the spatial and angular characteristics of Vavilov–Cherenkov radiation generated in diamond samples by an electron beam with an energy of 5.7 MeV was shown. The luminescence light yield and the ratio of Vavilov–Cherenkov radiation and cathodoluminescence in the diamond radiation spectrum are estimated. Practical significance. The results of simulation the generation of Vavilov–Cherenkov radiation and cathodoluminescence in diamond under the action of an electron beam with an energy of the order of several MeV will be useful in creating and designing Cherenkov detectors capable of operating under conditions of high radiation background and high temperature.

Keywords:

Vavilov–Cherenkov radiation, cathodoluminescence, simulation, diamond, electron beam

Acknowledgements:

the work was carried out within the framework of the State assignment of IHCE SB RAS, Project № FWRM-2026-0008.

OCIS codes: 000.3860, 290.0290, 250.1500

References:

1. Sadowski M.J. Generation and diagnostics of fast electrons within tokamak plasmas // Nukleonika. 2011. V. 56(2). P. 85–98.

2. Jakubowski L., Sadowski M. J., Zebrowski J. et al. Cherenkov-type diamond detectors for measurements of fast electrons in the TORE-SUPRA tokamak // Rev. Sci. Instrum. 2010. V. 81. № 1. P. 013504. http://doi.org/10.1063/1.3280221

3. Kwiatkowski R., Rabinski M., Sadowski M. J. et al. COMPASS, TCV. Cherenkov probes and runaway electrons diagnostics // Eur. Phys. J. Plus. 2021. V. 136. №. 10. P. 1–14. http://doi.org/10.1140/epjp/s13360-021-01844-8

4. Savchenko A.A., Tishchenko A.A. Search for a new material for a medical Cherenkov radiation detector // Nucl. Instrum. Methods Phys. Res. A. 2024. V. 1060. P. 169021. https://doi.org/10.1016/j.nima.2023.169021

5. Savchenko A.A., Tishchenko A.A. Geant4 application for efficiency simulation of PbF₂ based calorimeters // Radiation Detection Technology and Methods. 2023. V. 7. P. 435–446. https://doi.org/10.1007/s41605-023-00399-9

6. Valiev F.F. Modeling of Cherenkov radiation in the semi-classical approach // Phys. Part. Nuclei. 2023. V. 54. P. 708. https://doi.org/10.1134/S1063779623040342

7. Kishin I.A., Dronik V.I., Kubankin A.S. et al. Geant4 simulation of the effect of Cherenkov radiation cone transformation in the X-ray region // Bull. Lebedev Phys. Inst. 2022. V. 49. P. 322–328. https://doi.org/10.3103/S1068335622100037

8. Minchenko D., Yañez J.P., Hallin A. Simulating the impact of scattering on the angular distribution of Cherenkov radiation // Nucl. Instrum. Methods Phys. Res. A. 2026. V. 1084. P. 171231. https://doi.org/10.1016/j.nima.2025.171231

9. Бураченко А.Г., Артёмов К.П., Вуколов А.В. и др. Излучение Вавилова–Черенкова и катодолюминесценция в алмазе под действием электронов с энергией 5,7 МeV // Оптика и спектроскопия. 2023. Т. 131. № 12. С. 1653–1660. https://doi.org/10.61011/OS.2023.12.57400.5713-23

Burachenko A.G., Artyomov K.P., Vukolov A.V., Krylov A.A., Lipatov E.I., Ripenko V.S., Gogolev A.S. Vavilov–Cherenkov radiation and cathodoluminescence in diamond irradiated with 5.7 MeV electrons // Optics and Spectroscopy. 2023. V. 131. № 12. P. 1653–1660. https://doi.org/10.61011/OS.2023.12.57400.5713-23

10. Гриднев В.И., Розум Е.И., Слупский А.М., Воробьев С.А. Микротрон с перестраиваемой энергией ускоренных электронов // Приборы и техника эксперимента. 1987. № 1. С. 20.

Gridnev V.I., Rozum E.I., Slupsky A.M., Vorobyov S.A. Microtron with tunable energy of accelerated electrons // Instruments and experimental equipment. 1987. V. 1. P. 20.

11. Collins G.B., Reiling V.G. Cerenkov radiation // Physical Review. 1938. V. 54. P. 499. https://doi.org/10.1103/PhysRev.54.499

12. Кобзев А.Н. К вопросу о направленности излучения Вавилова–Черенкова // Ядерная физика. 1978. Т. 27. № 5. С. 1256–1261.

Kobzev A.N. On the question of the directivity of Vavilov–Cherenkov radiation // Nuclear Physics. 1978. V. 27. №. 5. P. 1256–1261.

13. Кобзев A.Н., Пафомов В.Е., Франк И.М. Угловые распределения излучения Вавилова–Черенкова, возбуждаемого в слюде электронами с энергией 170–250 кэВ // Ядерная физика. 1979. Т. 29. № 1. С. 122–132.

Kobzev A.N., Pafomov V.E., Frank I.M. Angular distributions of Vavilov–Cherenkov radiation excited in mica by electrons with energies of 170–250 keV // Nuclear Physics. 1979. V. 29. № 1. P. 122–132.

14. Alekseev B.A., Vukolov A.V., Konusov F.V. et al. Cherenkov radiators based on diamond and corundum crystals // Physics of Particles and Nuclei Letters. 2023. V. 20. P. 38–41. https://doi.org/10.1134/S1547477123010028

15. Potylitsyn A.P., Alekseev B.A., Vukolov A.V. et al. Monochromatic optical Cherenkov radiation of moderately relativistic ions in radiators with frequency dispersion // JEPT Letters. 2022. V. 115. P. 439–443. https://doi.org/10.1134/S0021364022100393

16. Тамм И.Е., Франк И.М. Когерентное излучение быстрого электрона в среде // Доклады Академии наук СССР. 1937. Т. 14. № 3. С. 107–112. https://doi.org/10.3367/UFNr.0093.196710o.0388

Tamm I.E., Frank I.M. Coherent radiation from a fast electron in a medium // Reports of the USSR Academy of Sciences. 1937. V. 14. № 3. P. 107–112. https://doi.org/10.3367/UFNr.0093.196710o.0388

17. Cоломонов В.И, Михайлов С.Г. Импульсная катодолюминесценция и ее применение для анализа конденсированных веществ. Екатеринбург: Издательство УрО РАН, 2003. 182 с.

Solomonov V.I., Mikhailov S.G. Pulsed cathodoluminescence and its application for the analysis of condensed substances. Ekaterinburg: Publishing House of the Ural Branch of the Russian Academy of Sciences, 2003. 182 p.

18. GEANT4: A toolkit for the simulation of the passage of particles through matter. http://geant4.cern.ch/

19. https://refractiveindex.info/?shelf=main&book=C&page=Taylor

20. Potylitsyn A.P. Cherenkov radiation from relativistic electrons in inclined transparent radiator // Optics and Spectroscopy. 2024. V. 132. № 2. P. 117–123. https://doi.org/10.61011/EOS.2024.02.58444.5385-23

21. https://root.cern.ch/root/htmldoc/guides/users-guide/ROOTUsersGuide.html

22. Zaitsev A.M. Optical properties of diamond: A data handbook. Berlin: Springer, 2001. 353 p.