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


For citation:

Vdovina G. M. On two­-dimensional linear theory of interaction between electron beam and traveling electromagnetic wave: allowing for influence of space charge in a thin beam model. Izvestiya VUZ. Applied Nonlinear Dynamics, 2010, vol. 18, iss. 5, pp. 148-159. DOI: 10.18500/0869-6632-2010-18-5-148-159

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
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Article type: 
Article
UDC: 
621.385.6

On two­-dimensional linear theory of interaction between electron beam and traveling electromagnetic wave: allowing for influence of space charge in a thin beam model

Autors: 
Vdovina Galina Mihajlovna, Saratov State University
Abstract: 

In the article two-dimensional model of interaction between infinitely thin electron beam in longitudinal magnetic field and traveling electromagnetic wave has been considered; in the frames of two-dimensional linear theory integral equation described such interaction has been formulated. On the basis of derived dispersion relation condition of initiation of beam instability has been found and influence of space charge fields on the processes of interaction has been analyzed.

Reference: 
  1. Andrushkevich VS, Kozlov GA, Trubetskov DI. Two-dimensional theory of microwave O-type devices. Radiophysics and Quantum Electronics. 1969;10(1):53–58. DOI: 10.1007/BF01038163.
  2. Shevchik VN, Trubetskov DI. Analytical methods of calculation in microwave electronics. Moscow: Sov. Radio; 1970. 584 p. (in Russian).
  3. Doetsch G. Guide to the applications of the Laplace and Z-transforms. Moscow: Nauka; 1971. 288 p. (in Russian).
Received: 
21.07.2010
Accepted: 
21.07.2010
Published: 
31.12.2010
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