Abstract
The conditions providing the equilibrium stationary state of high-density solid and annular electron beams, transported in cylindrical drift tubes and focused by a homogeneous magnetic field, have been investigated. An efficient numerical model is proposed to determine the distributions of the electrostatic potential, charge density, and electron velocities in the stationary state of these beams, with allowance for the space-charge forces. The results of the numerical calculations for the limiting currents, determined by the longitudinal deceleration (caused by space-charge forces) and conditions for equilibrium transverse magnetic focusing for transported beams of different configurations on the length of a klystrontype vacuum electronic device, are presented. The limitations on the device working length, related to the excitation of diocotron instability, are estimated. The calculation results are compared with the data obtained using the quasi-three-dimensional program “Arsenal-MSU” and analytical formulas suggested by other researchers.
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References
Anurag Srivastava, “Microfabricated Terahertz Vacuum Electron Devices: Technology, Capabilities and Performance Overview,” Europ. J. Adv. Eng. Technol. 2(8), 54 (2015).
J.H. Booskee, “Plasma Physics and Related Challenges of Millimeter-Wave-to-Terahertz and High Power Microwave Generation,” Phys. Plasma. 15, 055502 (2008).
A.S. Roshal’, Modeling of Charged Beams (Atomizdat, Moscow, 1979) [in Russian].
I.V. Alyamovskii, Electron Beams and Electron Guns (Sov. Radio, Moscow, 1966) [in Russian].
V.M. Pikunov, “Estimation of Limiting Currents in the Transit Channels Microwave Devices,” Memoirs of the Faculty of Physics, Lomonosov Moscow State University. No. 4, 171 (2014) [in Russian].
R.C. Davidson, Physics of Nonneutral Plasmas (CRC Press, Boca Raton, 1991).
R.B. Miller, An Introduction to the Physics of Intense Charged Particle Beams (Plenum, N.Y., 1982)
A.I. Eremeev, V.S. Kabanov, P.S. Strelkov, A.V. Fedotov, and A.G. Shkvarunets, “An Experimental Study and Numerical Modeling of the Diocotron Instability of High-Current Relativistic Electron Beams,” Sov. J. Plasma Phys. 14, 562 (1988).
V.E. Nechaev, “Diocotron Instability of Magnetized Tubular Electron Beams,” Izv. Vyssh. Uchebn. Zaved., Radiofiz. 25(9), 1067 (1982) [in Russian].
A.N. Sandalov, V.M. Pikunov, and V.E. Rodyakin, “Software Packages for Developing High-Power High-Efficiency Klystron Amplifiers,” in Vacuum Microwave Electronics (Izd-vo IPF, Nizhny Novgorod, 2002), pp. 97–102 [in Russian].
L.E. Thode, B.B. Godfrey, and W.R. Shanahan, “Vacuum Propagation of Solid Relativistic Electron Beams,” Phys. Fluids. 22(4), 747 (1979) [DOI: https://doi.org/10.1063/1.862633].
A.N. Didenko, V.P. Grigor’ev, and Yu.P. Usov, HighPower Electron Beams and Their Applications (Atomizdat, Moscow, 1977) [in Russian].
A.N. Sandalov, Doctoral Dissertation in Mathematics and Physics (MGU, Moscow, 2006) [in Russian].
Funding
This study was supported by the Ministry of Science and Higher Education of the Russian Federation within the State assignment for the Federal Scientific Research Centre “Crystallography and Photonics” of the Russian Academy of Sciences.
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Rodyakin, V.E., Pikunov, V.M. & Aksenov, V.N. Limitations on Currents in Cylindrical Drift Tubes of Millimeter-Wave Vacuum Electronic Devices. Phys. Wave Phen. 27, 290–298 (2019). https://doi.org/10.3103/S1541308X19040095
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DOI: https://doi.org/10.3103/S1541308X19040095