Abstract
We obtain an analytical solution of the nonlinear dynamics of a resonant instability in a dense electron beam. It is shown that the instability of a dense beam saturates because of a nonlinear frequency shift and a deviation from the resonance condition.
Similar content being viewed by others
Literature cited
V. L. Bratman, N. S. Ginzburg, and M. I. Petelin, Zh. Eksp. Teor. Fiz.,76, 930 (1979).
M. V. Kuzelev, A. A. Rukhadze, and D. S. Filippychev, Fourth All-Union Symposium on HighCurrent Electronics; Proceedings, Novosibirsk (1982), pp. 276–279.
Kh. Vil'khel'mson and Ya. Veiland, Coherent Nonlinear Interaction Waves in a Plasma [in Russian], Énergoizdat, Moscow (1981), pp. 90–103.
M. V. Kuzelev, Preprint FIAN, SSSR, No. 105 (1982).
M. V. Kuzelev, Zh. Tekh. Fiz.,32, 1029 (1983).
Author information
Authors and Affiliations
Additional information
Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 1, pp. 31–35, January, 1984.
The authors acknowledge useful discussions with A. A. Rukhadze.
Rights and permissions
About this article
Cite this article
Kuzelev, M.V., Panin, V.A. Nonlinear dynamics of high-density electron-beam resonant instabilities. Analytical solution. Soviet Physics Journal 27, 25–28 (1984). https://doi.org/10.1007/BF00896405
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00896405