ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

For citation:

Ryskin N. M., Trubetskov D. I. Explosive instability in systems «two interacting electron beams - electromagnetic wave». Izvestiya VUZ. Applied Nonlinear Dynamics, 1996, vol. 4, iss. 4, pp. 65-77.

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Full text PDF(Ru):
PDF icon 1996no4-5p065.pdf
(downloads: 0)
Language: 
Russian
Heading: 
Applied Problems of Nonlinear Oscillation and Wave Theory
Article type: 
Article
UDC: 
621.385.6

Explosive instability in systems «two interacting electron beams - electromagnetic wave»

Autors: 
Ryskin Nikita Mikhailovich, Saratov Branch of Kotel`nikov Institute of Radiophysics and Electronics of Russian Academy of Sciences
Trubetskov Dmitriy Ivanovich, Saratov State University
Abstract: 

Explosive instability in two electron beams - electromagnetic wave interaction is studied. Both cases of copropagating and contrapropagating beams are considered. The equations of three wave interaction are derived which describe the dynamics of slowly varying amplitudes. Numerical simulation of these equations with proper boundary conditions reveals the main features of the instability and shows the influence of different quantities on the starting conditions of oscillations.

Key words: 
-
Acknowledgments: 
The work was carried out with financial support from the Russian Foundation for Basic Research (grant No. 96-02-16753) and the Program of the State Committee for Higher Education of the Russian Federation for fundamental research in the field of electronics and radio engineering.
Reference: 
  1. Rabinovich МI, Trubetskov DI. Introduction to the Theory of Oscillations and Waves. M.: Nauka; 1984. 432 p.
  2. Ablowitz M, Segur H. Solitons and the Inverse Scattering Transform. Philadelphia: SIAM; 1981. 435 p.
  3. Dodd R, Eilbeck JC, Gibbon JD, Morris HC. Solitons and Nonlinear Wave Equations. London: Academic Press; 1982. 630 p.
  4. Buts VA, Izmailov АN. Explosive instability in systems with an electronic beam. Tech. Phys. 1976;46(11):2451-2453.
  5. Buts VA, Izmailov АN. Generation of HF oscillations based on explosive instability. Tech. Phys. 1978;48(7):1366.
  6. Kuzelev МV, Rukhadze АА. Electrodynamics of Dense Electron Beams in Plasma. М.: Nauka; 1990. 332 p.
  7. Liu CS, Tripathi VK. Explosive instability in а backward wave oscillator. IEEE Trans. Plasma Sci. 1993;21(1):191-193. DOI: 10.1109/27.221121.
  8. Ryskin NM, Trubetskov DI. Explosive instability during the interaction of a two-speed electron flow with a backward electromagnetic wave. Tech. Phys. Lett. 1995;21(12):26-30.
  9. Grigoryev АD. Electrodynamics and Microwave Technology. М.: Vysshaya shkola; 1990. 334 p.
  10. Shevchik VN, Trubetskov DI. Analytical Methods of Calculation in Microwave Electronics. М.: Sovetskoe radio; 1970. 584 p.
  11. Rabinovich MI, Reutov VP, Tsvetkov АА. Coalescence of wave pulses or beams in explosive instability. J. Exp. Theor. Phys. 1975;40(2):260-263.
  12. Kuznetsov SP, Trubetskov DI. Two lectures on the non-stationary theory of interaction of electron beams with electromagnetic waves. In: Lectures on Microwave Electronics and Radiophysics (4th winter school-seminar of engineers). Vol.5. Saratov: Saratov University Publishing; 1974. P. 88.
  13. Kuznetsov AP, Kuznetsov SP. Nature of the instability in a TWT in the region of the limit of the passband. Radiophys. Quantum Electron. 1980;23(9):736-743. DOI: 10.1007/BF01080592.
  14. Rutkevich BN, Rutkevich PB. Development of instability of dispersing waves in two-stream plasma. Plasma Phys. Rep. 1980;6(3):538-545.
  15. Zakharov VЕ, Manakov SV. The theory of resonance interaction of wave packets in nonlinear media. J. Exp. Theor. Phys. 1975;42(5):842-850.
  16. Ablowitz MJ, Haberman R. Resonantly coupled nonlinear evolution equations. J. Math. Phys. 1975;16(11):2301-2305. DOI: 10.1063/1.522460.
Received: 
10.04.1996
Accepted: 
05.07.1996
Published: 
10.12.1996
  • 91 reads