Abstract
The paraxial model of a dense electron beam has been studied using analytical solutions that describe curvilinear sheet beams in a uniform magnetic field and without it. It is demonstrated how important it is to use, as a criterion for the accuracy of an approximate solution, the concept of a residual whose value is related to the error known for investigated reference flows.
Similar content being viewed by others
Notes
In terms of the paraxial theory, the magnetic field is directed along the х axis.
REFERENCES
V. A. Syrovoi, Theory of the Intense Beams of Charged Particles (Energoatomizdat, Moscow, 2004; Elsevier, Amsterdam, 2011).
V. A. Syrovoi, Introduction to a Theory of Intense Charged-Particle Beams (Energoatomizdat, Moscow, 2004) [in Russian].
V. A. Syrovoi, J. Commun. Technol. Electron. 62, 605 (2017).
T. M. Sapronova and V. A. Syrovoi, J. Commun. Technol. Electron. 62, 1271 (2017).
T. M. Sapronova and V. A. Syrovoi, J. Commun. Technol. Electron. 62, 1281 (2017).
P. I. Akimov, A. P. Nikitin, and V. A. Syrovoi, Elektron. Tekh. Ser. 1. SVCh-Tekh. No. 1, 32 (2018).
P. I. Akimov, A. A. Gavrilin, A. P. Nikitin, V. A. Syrovoi, and E. P. Sheshin, J. Commun. Technol. Electron. 63, 1303 (2018).
T. M. Sapronova and V. A. Syrovoi, J. Commun. Technol. Electron. 55, 679 (2010).
B. Meltzer, J. Electr. Contr. 2, 118 (1956).
P. T. Kirstein, J. Electr. Contr. 4, 425 (1958).
V. A. Syrovoi, J. Commun. Technol. Electron. 57, 335 (2012).
B. Meltzer, Proc. Phys. Soc. 62B (355), 431 (1949).
Sh. E. Tsimring, Izv. Vyssh. Uchebn. Zaved. Radiofiz., 20, 1550 (1977).
V. N. Manuilov, V. Yu. Zaslavsky, N. S. Ginzburg, et al., Phys. Plasmas 21, 023106 (2014).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated by E. Bondareva
Rights and permissions
About this article
Cite this article
Sapronova, T.M., Syrovoi, V.A. Testing the Paraxial Model of Sheet Electron Beams. J. Commun. Technol. Electron. 65, 1425–1447 (2020). https://doi.org/10.1134/S1064226920120153
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1064226920120153