Abstract
Using a developed numerical 3D Monte Carlo model, the dependence of the “runaway” electron beam radius on the induction of the guiding magnetic field was studied. It was shown that, besides the magnitude of the magnetic field induction, the beam radius was affected by the point of its generation in the near-cathode region and the approximation of the differential cross section for high-energy electron scattering.
REFERENCES
Wilson, C.T.R., Math. Proc. Cambridge Philos. Soc., 1925, vol. 22, no. 4, p. 534. https://doi.org/10.1017/S0305004100003236
Babich, L.P., High-Energy Phenomena in Electric Discharges in Dense Gases, Arlington, TX: Futurepast, 2003.
Dreicer, H., Phys. Rev., 1959, vol. 115, no. 2, p. 238. https://doi.org/10.1103/PhysRev.115.238
Dreicer, H., Phys. Rev., 1960, vol. 117, no. 2, p. 329. https://doi.org/10.1103/PhysRev.117.329
Gurevich, A.V., and Zybin, K.P., Phys.—Usp., 2001, vol. 44, no. 11, p. 1119. https://doi.org/10.1070/PU2001v044n11ABEH000939
Mesyats, G.A., Yalandin, M.I., Reutova, A.G., Sharypov, K.A., Shpak, V.G., and Shunailov, S.A., Plasma Phys. Rep., 2012, vol. 38, p. 29. https://doi.org/10.1134/S1063780X11110055
Mesyats, G.A. and Yalandin, M.I., IEEE Trans. Plasma Sci., 2009, vol. 37, no. 6, p. 785. https://doi.org/10.1109/TPS.2009.2012428
Yalandin, M.I., Mesyats, G.A., Reutova, A.G., et al., Tech. Phys. Lett., 2011, vol. 37, no. 4, p. 37. https://doi.org/10.1134/S1063785011040298
Tarasenko, V.F., Rybka, D.V., Burachenko, A.G., Lomaev, M.I., and Balzovsky, E.V., Rev. Sci. Instrum., 2012, vol. 83, no. 8, p. 086106. https://doi.org/10.1016/j.mre.2016.10.004
Mesyats, G.A., Yalandin, M.I., Zubarev, N.M., Sadykova, A.G., Sharypov, K.A., Shpak, V.G., Shunailov, S.A., Ulmaskulov, M.R., Zubareva, O.V., Kozyrev, A.V., and Semeniuk, N.S., Appl. Phys. Lett., 2020, vol. 116, p. 063501. https://doi.org/10.1063/1.5143486
Tarasenko, V.F., Lomaev, M.I., Beloplotov, D.V., and Sorokin, D.A., High Voltage, 2016, vol. 1, no. 4, p. 181. https://doi.org/10.1049/hve.2016.0052
Kozyrev, A.V., Kozhevnikov, V.Y., and Semeniuk, N.S., EPJ Web Conf., 2018, vol. 167, p. 01005. https://doi.org/10.1051/epjconf/201816701005
Babich, L.P. and Loiko, T.V., JETP Lett., 2015, vol. 101, no. 11, p. 735. https://doi.org/10.1134/S002136401511003X
Mesyats, G.A. and Yalandin, M.I., Phys.—Usp., 2019, vol. 62, p. 699. https://doi.org/10.3367/UFNr.2018.06.038354
Kostyria, I.D., Orlovsky, V.M., Tarasenko, V.F., et al., Pis’ma Zh. Tekh. Fiz., 2005, vol. 31, no. 11, p. 19. https://www.elibrary.ru/item.asp?id=20338224
Mesyats, G.A., Osipenko, E.A., Sharypov, K.A., Shpak, V.G., Shunailov, S.A., Yalandin, M.I., and Zubarev, N.M., IEEE Electron Device Lett., 2022, vol. 43, no. 4, p. 627. https://doi.org/10.1109/LED.2022.3155173
Mamontov, Y.I. and Lisenkov, V.V., J. Phys.: Conf. Ser., 2021, vol. 2064, no. 1, p. 012020. https://doi.org/10.1088/1742-6596/2064/1/012020
Mamontov, Y.I., Zubarev, N.M., and Uimanov, I.V., IEEE Trans. Plasma Sci., 2021, vol. 49, no. 9, p. 2589. https://doi.org/10.1109/TPS.2021.3082693
Lin, S.L. and Bardsley, J.N., Comput. Phys. Commun., 1978, vol. 15, nos. 3–4, p. 161. https://doi.org/10.1016/0010-4655(78)90090-5
Itikawa, Y., J. Phys. Chem. Ref. Data, 2006, vol. 35, no. 1, p. 31. https://doi.org/10.1063/1.1937426
Shyn, T.W., Stolarski, R.S., and Carignan, G.R., Phys. Rev. A, 1972, vol. 6, no. 3, p. 1002. https://doi.org/10.1103/PhysRevA.6.1002
DuBois, R.D. and Rudd, M.E., J. Phys. B: Atom. Mol. Phys., 1976, vol. 9, no. 15, p. 2657. https://doi.org/10.1088/0022-3700/9/15/016
Phelps, A.V. and Pitchford, L.C., Phys. Rev. A, 1985 vol. 31, no. 5, p. 2932. https://doi.org/10.1103/PhysRevA.31.2932
Opal, C.B., Peterson, W.K., and Beaty, E.C., J. Chem. Phys., 1971, vol. 55, no. 8, p. 4100. https://doi.org/10.1063/1.1676707
Kolchuzhkin, A.M. and Uchaikin, V.V., Vvedenie v teoriyu stolknovenii (Introduction into the Collision Theory) Tomsk: Tomsk. Gos. Univ., 1979.
Raizer, Yu.P., Fizika gazovogo razryada (Physics of Gas Discharge), Dolgoprudny: Intellekt, 2009.
Moss, G.D., Pasko, V.P., Liu, N., and Veronis, G., J. Geophys. Res., 2006, vol. 111, no. A2, p. A02307. https://doi.org/10.1029/2005JA011350
Zubarev, N.M., Yalandin, M.I., Mesyats, G.A., Barengolts, S.A., Sadykova, A.G., Sharypov, K.A., Shpak, V.G., Shunailov, S.A., and Zubareva, O.V., J. Phys. D: Appl. Phys., 2018, vol. 51, p. 284003. https://doi.org/10.1088/1361-6463/aac90a
Gashkov, M.A., Zubarev, N.M., Zubareva, O.V., Mesyats, G.A., Sharypov, K.A., Shpak, V.G., Shunailov, S.A., and Yalandin, M.I., JETP Lett., 2021, vol. 113, no. 6, p. 370. https://doi.org/10.1134/S0021364021060059
Funding
The research was supported by the Russian Science Foundation under grant no. 23-19-00053 (https:// rscf.ru/project/23-19-00053/).
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
The authors declare that they have no conflicts of interest.
Additional information
Publisher’s Note.
Pleiades Publishing remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
About this article
Cite this article
Mamontov, Y.I., Zubarev, N.M. & Uimanov, I.V. Numerical Analysis of Runaway Electron Beam Focusing with a Homogeneous Longitudinal Magnetic Field. Bull. Russ. Acad. Sci. Phys. 87 (Suppl 2), S194–S201 (2023). https://doi.org/10.1134/S1062873823704609
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1062873823704609