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


For citation:

Titov A. V. An approximate nonlinear theory of double-stream instability. Izvestiya VUZ. Applied Nonlinear Dynamics, 2012, vol. 20, iss. 3, pp. 132-139. DOI: 10.18500/0869-6632-2012-20-3-132-139

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
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Language: 
Russian
Article type: 
Article
UDC: 
537.86

An approximate nonlinear theory of double-stream instability

Autors: 
Titov Aleksej Vladimirovich, Saratov State University
Abstract: 

An approximate nonlinear theory of double-stream interaction is built. Based on this theory, calculation for double-stream amplifier gain was performed. It was shown, that 40 dB amplification can be obtained.

Reference: 
  1. Briggs R. Two-beam instability. Achievements of plasma physics. V. 3-4. Moscow: Mir; 1974. (in Russian).
  2. Rabinovich MI, Trubetskov DI. Introduction to the Theory of Oscillations and Waves. 2nd ed. Moscow: Nauka; 1992. 456 p. (in Russian).
  3. Lopukhin VM. Excitation of Electromagnetic Oscillations and Waves by Electron Beams. Moscow: Gostekhizdat; 1953. 324 p. (in Russian).
  4. Shevchik VN, Trubetskov DI. Analytical Methods of Calculation in Microwave Electronics. Moscow: Sov. Radio; 1970. 584 p. (in Russian).
  5. Solntsev VA. Nonlinear waves in electron beams. Radiophysics and Quantum Electronics. 1974;17:464–471. DOI: 10.1007/BF01036803.
  6. Birhofberger K, Carlsten BE, Faehl R. Generation of millimeter and sub-millimeter radiation in a compact oscillator utilizing the two-stream instability. IVEC 2008, april 22–24. 2008:164. DOI: 10.1109/IVELEC.2008.4556470.
  7. Trubetskov DI, Khramov AE. Lectures on Microwave Electronics for Physicists. Vol. 1. Moscow: Fizmatlit; 2003. 496 p. (in Russian).
Received: 
04.03.2012
Accepted: 
04.03.2012
Published: 
31.07.2012
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