Abstract
The explicit expressions (in the Vainshtein and Markov forms) are derived for the excitation of a cylindrical cavity with perfectly conducting walls and with impedance end faces. Excitation of a cylindrical cavity and a cylindrical waveguide with a preset nonuniform axial electron-beam current and a helical current with a variable pitch, which is excited by a concentrated voltage source and is loaded by a preset pointlike matched load, is considered. For the helical current, the integro-differential equation is formulated. The traveling-wave tube (TWT) is simulated in the preset beam current approximation taking into account the nonuniform winding of the spiral coil, nonuniform electron beam, and losses.
Similar content being viewed by others
References
L. A. Vainshtein, Open Resonators and Open Waveguides (Sovetskoe Radio, Moscow, 1966).
M. V. Davidovich, Izv. Saratovsk. Univ., Ser. Fiz. 5, 68 (2005).
M. V. Davidovich, in Modeling in Applied Electrodynamics and Electronics: Collection of Scientific Works (Saratovsk. Univ., Saratov, 2005), Vol. 6, pp. 64–77.
L. A. Vainshtein, Electromagnetic Waves (Radio i Svyaz’, Moscow, 1988).
L. A. Vainshtein and V. A. Solntsev, Lectures on Micro-wave Electronics (Sovetskoe Radio, Moscow, 1973).
G. T. Markov and A. F. Chaplin, Excitation of Electromagnetic Waves (Radio i Svyaz’, Moscow, 1983).
M. V. Davidovich, Tech. Phys. 51, 1405 (2006).
M. V. Davidovich, Radiotekh. Elektron. (Moscow) 46, 1198 (2001).
M. V. Davidovich, in Modeling in Applied Electrodynamics and Electronics: Collection of Scientific Works (Saratovsk. Univ., Saratov, 2005), Vol. 6, pp. 4–12.
M. V. Davidovich and I. V. Shilin, in Proceedings of the International Scientific Technical Conference on Actual Problems of Electronic Instrument Engineering, Saratov, 2004, pp. 226–230.
M. V. Davidovich and I. V. Shilin, in Proceedings of the International Scientific Technical Conference on Actual Problems of Electronic Instrument Engineering, Saratov, 2004, pp. 240–244.
M. V. Davidovich and I. V. Shilin, Proc. SPIE 5776, 37 (2005).
A. P. Kuznetsov, S. P. Kuznetsov, and A. G. Rozhnev, Radiotekh. Elektron. (Moscow) 29, 2003 (1984).
M. V. Davidovich, N. A. Bushuev, and J. V. Stephuk, in Modeling in Applied Electromagnetics and Electronics: Collection of Scientific Works (Saratovsk. Univ., Saratov, 2011), Vol. 10, pp. 47–56.
P. M. Morse and H. Feshbach, Methods of Theoretical Physics (McGraw-Hill, New York, 1953; Inostrannaya Literatura, Moscow, 1958), Vols. 1–2.
V. V. Nikol’skii, Variational Methods for Internal Problems of Electrodynamics (Nauka, Moscow, 1967).
M. V. Davidovich, Radiotekh. Elektron. (Moscow) 31, 2224 (1986).
L. D. Gol’dshtein and N. V. Zernov, Electromagnetic Fields and Waves (Sovetskoe Radio, Moscow, 1971).
T. E. Kolobaeva, V. V. Penzyakov, and Yu. Kh. Finkel’-shtein, Elektron. Tekh., Ser. Elektron. SVCh, No. 10 (334), 31 (1981).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © M.V. Davidovich, N.A. Bushuev, 2013, published in Zhurnal Tekhnicheskoi Fiziki, 2013, Vol. 83, No. 7, pp. 135–145.
Rights and permissions
About this article
Cite this article
Davidovich, M.V., Bushuev, N.A. Excitation of a cylindrical cavity by a helical current and an axial electron beam current. Tech. Phys. 58, 1061–1072 (2013). https://doi.org/10.1134/S1063784213070049
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063784213070049