Abstract
A stability theory is developed for a plasma diode in which an electron beam supplied from the emitter propagates without collisions in the self-consistent electric field against the immobile ion background. An integral equation for the amplitude of the perturbed field is deduced using the Q,G method for the regime without electron reflection from a potential barrier. Analytic solutions to this equation are obtained for a number of important particular cases, and the plasma dispersion properties are examined.
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References
V. I. Kuznetsov and A. Ya. Ender, Plasma Phys. Rep. 41, 240 (2015).
V. I. Kuznetsov and A. Ya. Ender, Sov. Phys. Tech. Phys. 25, 37 (1980).
M. E. Gedalin, V. I. Krasnosel’skikh, and D. G. Lominadze, Sov. J. Plasma Phys. 11, 508 (1985).
A. Ya. Ender, H. Kolinsky, V. I. Kuznetsov, and H. Schamel, Phys. Rep. 328, 1 (2000).
V. R. Bursian and V. I. Pavlov, Zhurn. Rus. Fiz.-Khim. Obshch. 55 (1–3), 71 (1923).
J. R. Pierce, J. Appl. Phys. 15, 721 (1944).
A. Ya. Ender, V. I. Kuznetsov, H. Schamel, and P. V. Akimov, Phys. Plasmas 11, 3212 (2004).
V. I. Kuznetsov, A. V. Solov’ev, and A. Ya. Ender, Tech. Phys. 39, 1207 (1994).
H. Kolinsky and H. Schamel, J. Plasma Phys. 57, 403 (1997).
V. I. Kuznetsov and A. Ya. Ender, Sov. Phys. Tech. Phys. 22, 1295 (1977).
A. V. Pashchenko and B. N. Rutkevich, Sov. J. Plasma Phys. 3, 437 (1977).
P. V. Akimov, H. Schamel, H. Kolinsky, A. Ya. Ender, and V. I. Kuznetsov, Phys. Plasmas 8, 3788 (2001).
A. Ya. Ender, V. I. Kuznetsov, and H. Schamel, New J. Phys. 8 (10), 1 (2006).
A. V. Pashchenko, V. M. Zalkind, Yu. F. Lonin, O. G. Melezhik, S. S. Romanov, D. A. Sitnikov, I. K. Tarasov, M. I. Tarasov, I. N. Shapoval, V. E. Novikov, and V. A. Yatsyshin, Tech. Phys. Lett. 34, 1079 (2008).
K. Yuan, J. Appl. Phys. 48, 133 (1977).
A. N. Mosiyuk, Sov. J. Plasma Phys. 12, 864 (1986).
G. Doetsch, Guide to the Applications of the Laplace and Z-Transforms (Van Nostrand-Reinhold, London, 1971).
A. Ya. Ender, S. Kuhn, and V. Kuznetsov, Phys. Plasmas 13, 113506 (2006).
R. Ya. Kucherov, Z. A. Oganezov, L. S. Timoshenko, and V. K. Tskhakaya, Fiz. Plazmy 15, 1321 (1989).
V. I. Kuznetsov and A. Ya. Ender, Plasma Phys. Rep. 36, 226 (2010).
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Original Russian Text © V.I. Kuznetsov, A.Ya. Ender, 2015, published in Fizika Plazmy, 2015, Vol. 41, No. 11, pp. 979–991.
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Kuznetsov, V.I., Ender, A.Y. Stability theory of Knudsen plasma diodes. Plasma Phys. Rep. 41, 905–917 (2015). https://doi.org/10.1134/S1063780X15110069
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DOI: https://doi.org/10.1134/S1063780X15110069