Hostname: page-component-78c5997874-dh8gc Total loading time: 0 Render date: 2024-11-05T05:43:46.687Z Has data issue: false hasContentIssue false
  • English
  • Français

Evolution of overlimiting electron beam instability

Published online by Cambridge University Press:  15 June 2001

E. V. Rostomyan
E. V. Rostomyan*
Affiliation:
Institute of Radiophysics and Electronics, National Acad. Sci. of Armenia, Alikhanian st. 1, Ashtarack, 378410, Armenia
*
[email protected]
Get access

Abstract

The evolution of initial perturbations in a plasma-filled system with a high current relativistic electron beam is considered. The beam current is assumed to be comparable or higher than the limiting vacuum current. The approach is based on equation for slowly varying amplitude of the induced waveform, which enable us to separate out the most intrinsic peculiarities of the overlimiting electron beam instabilities. An equation for slowly varying amplitude is derived and solved. An analytical expression describing space structure and development dynamics of the fields is obtained and analyzed. The well-known maximal growth rate of beam instability is actually the growth rate in the peak of induced wave train. Results are valid both for instability due to aperiodic modulation of the beam density in medium with negative dielectric constant and for instability due to excitation of beam wave with negative energy. Comparison with the case of a sublimiting beam is carried out.

Keywords

Type
Research Article
Information
The European Physical Journal - Applied Physics , Volume 14 , Issue 3 , June 2001 , pp. 177 - 182
Copyright
© EDP Sciences, 2001

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

A.A. Rukhadze, in Modern Plasma Phys. (Triest Course, Vienna, 1981), pp. 537-592.
M.V. Kuzelev, A.A. Rukhadze, Electrodynamics of Dense Elektron Beams in Plasma (Moscow, Nauka, 1990), in Russian.
R.J. Briggs, in Advanced in Plasma Phys., edited by A. Symon, W. Tomson (Wiley, New York, 1971), Vol. 3, pp. 132-170.
A. Bers, in Basic Plasma Physics, edited by M.N. Rosenbluth, R.Z. Sagdeev (North Holland Publ. Comp., Amsterdam, 1983), Vol. 1, p. 451.
Rukhadze, A.A., Roukhlin, V.G., Sever'yanov, V.V., Sov. J. Plasma Phys. 4, 463 (1978).
Rostomian, E.V., Roukhlin, V.G., Sov. J. Plasma Phys. 11, 985 (1985).
V.A. Panin, A.A. Rukhadze, V.G. Roukhlin, V.V. Sever'yanov, Short Reports on Physics, Vol. 5, No. 3, 1981, in Russian.
Rostomian, E.V., Phys. Plasmas 7, 1595 (2000). CrossRef
Tadjima, T., Phys. Fluids 22, 1157 (1979).
Aizatski, N.I., Sov. J. Plasma Phys. 6, 597 (1980).
Karbushev, N.I., Sov. J. Plasma Phys. 11, 1391 (1985).
Bliokh, Yu.P. et al., Dokl. Akad. Nauk 285, 56 (1984).
Kuzelev, M.V., Rukhadze, A.A., Sov. Phys. Uspekhi 152, 285 (1987).
Sprangle, P., Granadstein, V.L., Appl. Phys. Lett. 25, 377 (1974). CrossRef
N.I. Karbushev, E.V. Rostomyan, Contr. Papers of the 20th Int. Conf. on Phenomenon in Ionized Gases (ICPIG-XX) Pisa, Italy, July, 1991, D/31, Vol. 3, p. 582.