Abstract—The problem of heat distribution in metal materials irradiated by finely focused low-energy electron beams in the absence of heat exchange between the target and the surrounding environment is studied using mathematical modeling methods. The model is based on solving a multidimensional stationary heat equation using Green’s function. The source function is a model applicable to a wide class of solids and primary-electron energy ranges, based on separation description of the absorbed and backscattered electron contributions to the energy dissipated in the target. The features of this approach explain the nonmonotonic dependence of the maximum heating temperature of the target on the primary-electron energy.
Similar content being viewed by others
REFERENCES
A. Yu. Kuzin, M. A. Stepovich, V. B. Mityukhlyaev, P. A. Todua, and M. N. Filippov, Izmer. Tekh., No. 10, 27 (2016).
A. N. Amrastanov, A. Yu. Kuzin, V. B. Mityukhlyaev, E. V. Seregina, M. A. Stepovich, P. A. Todua, and M. N. Filippov, Meas. Tech. 60 (6), 534 (2017).
A. N. Amrastanov, S. A. Ginzgeymer, M. A. Stepovich, and M. N. Filippov, Bull. Russ. Acad. Sci. Phys. 80 (10), 1290 (2016).
M. A. Stepovich, A. N. Amrastanov, E. V. Seregina, and M. N. Filippov, J. Phys.: Conf. Ser. 955, 012040 (2018).
A. N. Polyakov, A. N. Smirnova, M. A. Stepovich, and D. V. Turtin, Lobachevskii J. Math. 39 (2), 259 (2018).
N. N. Mikheev, V. I. Petrov, and M. A. Stepovich, Bull. Acad. Sci. USSR. Phys. Ser., 55 (8), 1474 (1991).
N. N. Mikheev and M. A. Stepovich, Ind. Lab. 62 (4), 221 (1996).
M. A. Stepovich, Surface: X-Ray, Synchrotron and Neutron Studies, No. 5, 69 (2000).
Yu. E. Gagarin, V. I. Petrov, and M. A. Stepovich, Izv. Ross. Akad. Nauk, Ser. Fiz. 65 (9), 1312 (2001).
M. A. Stepovich, Surface: X-Ray, Synchrotron and Neutron Studies, No. 7, 97 (2002).
Yu. E. Gagarin, V. I. Petrov, and M. A. Stepovich, Surface: X-Ray, Synchrotron and Neutron Studies, No. 3, 91 (2004).
Yu. E. Gagarin, E. N. Lapshinova, V. I. Petrov, and M. A. Stepovich, J. Surf.Invest.: X-ray, Synchrotron Neutron Tech. 1 (5), 622 (2007).
M. N. Filippov, Izv. Ross. Akad. Nauk, Ser. Fiz., No. 8, 163 (1993).
A. N. Tikhonov and A. A. Samarskii, Equations of Mathematical Physics (Izd-vo MGU, Moscow, 1999) [in Russian].
A. P. Babichev, N. A. Babushkina, A. M. Bratkovskii, et al., Physical Quantities: Handbook, Ed. by I. S. Grigor’ev and E. Z. Meilikhov (Energoatomizdat, Moscow, 1991) [in Russian].
Funding
This work was partially supported by the Russian Foundation for Basic Research (project no. 16-03-00515) and a grant of the Russian Foundation for Basic Research and the Kaluga Region Government (project no. 18-41-400 001).
Author information
Authors and Affiliations
Corresponding authors
Additional information
Translated by L. Trubitsyna
Rights and permissions
About this article
Cite this article
Amrastanov, A.N., Seregina, E.V. & Stepovich, M.A. On Estimating the Heating of the Surface of a Homogeneous Metal Target with a Low-Energy Electron Probe. J. Surf. Investig. 13, 1331–1335 (2019). https://doi.org/10.1134/S1027451019060259
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1027451019060259