Abstract
A nonrelativistic electron beam with a virtual cathode situated in the diode gap with a decelerating field is experimentally and theoretically studied. A 1D model of the electron beam in the presence of a decelerating field is constructed. Nonlinear nonstationary processes in this system are investigated by means of numerical analysis of the model. The processes are described and interpreted with regard to formation and interaction of structures in the electron flow. The theoretical results are qualitatively confirmed by the experimental data showing that the system under study can be considered as a promising controlled source of chaotic oscillations in the microwave range.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
A. N. Didenko, Ya. E. Krasik, S. F. Perelygin, and G. P. Fomenko, Pis’ma Zh. Tekh. Fiz. 5, 321 (1979).
H. A. Davis, R. R. Bartsch, T. J. T. Kwan, et al., IEEE Trans. Plasma Sci. 16, 192 (1988).
A. N. Didenko and V. I. Rashchikov, Fiz. Plazmy (Moscow) 18, 1182 (1992).
A. A. Rukhadze, S. D. Stolbetsov, and V. P. Tarakanov, Radiotekh. Elektron. (Moscow) 37, 385 (1992).
V. D. Selemir, B. V. Alekhin, V. E. Vatrunin, et al., Fiz. Plazmy (Moscow) 20, 689 (1994).
V. G. Anfinogentov and A. E. Hramov, Izv. Akad. Nauk, Ser. Fiz. 61, 2391 (1997).
S. L. Ginzburg, V. F. D’yachenko, V. V. Paleichik, and K. V. Khodataev, Zh. Tekh. Fiz. 69(2), 87 (1999).
A. E. Dubinov and V. D. Selemir, Radiotekh. Elektron. (Moscow) 47, 575 (2002) [J. Commun. Technol. Electron. 47, 575 (2002)].
A. A. Koronovskii and A. E. Hramov, Fiz. Plazmy 28, 722 (2002) [Plasma Phys. Rep. 28, 666, (2002)].
Yu. A. Kalinin, N. N. Kuznetsov, and T. N. Ukrainskaya, Izv. Vyssh. Uchebn. Zaved., Prikl. Nelin. Din. 10(5), 32 (2002).
A. M. Afonin, A. N. Didenko, A. Yu. Pautkin, and A. S. Roshal’, Radiotekh. Elektron. (Moscow) 37, 1889 (1992).
V. G. Anfinogentov and A. E. Hramov, Izv. Vyssh. Uchebn. Zaved., Radiofiz. 41, 1137 (1998).
D. I. Trubetskov and A. E. Hramov, Lectures on Microwave Electronics for Physicists, Vol. 2 (Fizmatlit, Moscow, 2004) [in Russian].
V. D. Alyokhin, A. E. Dubinov, V. D. Selemir, et al., IEEE Trans. Plasma Sci. 22, 954 (1994).
A. I. Plyutto, A. V. Sergeev, S. M. Danilov, et al., Pis’ma Zh. Eksp. Teor. Fiz. 6, 540 (1967).
A. E. Dubinov, I. Yu. Kornilova, and V. D. Selemir, Usp. Fiz. Nauk 172, 1225 (2002).
Yu. A. Kalinin, A. A. Koronovskii, A. E. Hramov, et al., Fiz. Plazmy 31, 1009 (2005) [Plasma Phys. Rep. 31, 938 (2005)].
M. V. Kuzelev and A. A. Rukhadze, Electrodynamics of Dense Electron Beams in Plasma (Nauka, Moscow, 1990) [in Russian].
H. Barkhausen and K. Kurz, Phys. Z. 21(1), 1 (1920).
V. N. Shevchik, G. N. Shvedov, and A. N. Soboleva, Wave and Oscillatory Phenomena in Electron Flows at Microwave Frequencies (Saratov Gos. Univ., Saratov, 1962) [in Russian].
Yu. A. Kalinin, V. N. Kozhevnikov, A. G. Lazerson, et al., Zh. Tekh. Fiz. 70(7), 83 (2000) [Tech. Phys. 70, 896 (2000)].
Yu. A. Kalinin and A. D. Esin, Methods and Means of Physical Experiment in Vacuum Microwave Electronics (Saratov Gos. Univ., Saratov, 1991) [in Russian].
J. Pierce, J. Appl. Phys. 15, 721 (1944).
C. K. Birdsall and W. B. Bridges, Electron Dynamics of Diode Regions (Academic, New York, 1966).
H. Matsumoto, H. Yokoyama, and D. Summers, Phys. Plasmas 3(1), 177 (1996).
Ch. K. Birdsall and A. B. Langdon, Plasma Physics Via Computer Simulation (McGraw-Hill, New-York, 1985).
V. G. Makhan’kov and Yu. G. Pollyak, Zh. Tekh. Fiz. 46, 439 (1976).
J. Roach, Computational Fluid Dynamics (Hermosa, Albuquerque, 1976; Mir, Moscow, 1980).
F. Takens, Lectures Notes in Mathematics, Ed. by D. Rand and L. Young (Springer-Verlag, New York, 1981), p. 366.
A. P. Privezentsev, G. P. Fomenko, and N. M. Filipenko, Zh. Tekh. Fiz. 51, 1161 (1981).
S. Watanabe, in Trans. the 4th Prague Conf. on Inform. Theory, Statistical Decision Functions, Random Processes, Prague, Sept. 1965 (Publ. House of the Czehoslovak Acad. of Sci., Prague, 1967), p. 635.
J. L. Lumley, in Atmospheric Turbulence and Radio Wave Propagation (Proc. Int. Colloquium, Moscow, 1967), Ed. by A. M. Yaglom and V. I. Tatarsky (Nauka, Moscow, 1967), p. 166.
Additional information
Original Russian Text © E.N. Egorov, Yu.A. Kalinin, A.A. Koronovskii, Yu.I. Levin, A.E. Hramov, 2007, published in Radiotekhnika i Elektronika, 2007, Vol. 52, No. 1, pp. 51–64.
Rights and permissions
About this article
Cite this article
Egorov, E.N., Kalinin, Y.A., Koronovskii, A.A. et al. Analysis of the formation of structures and chaotic dynamics in a nonrelativistic electron beam with a virtual cathode in the presence of a decelerating field. J. Commun. Technol. Electron. 52, 45–57 (2007). https://doi.org/10.1134/S106422690701007X
Received:
Issue Date:
DOI: https://doi.org/10.1134/S106422690701007X