ON TWO­DIMENSIONAL LINEAR THEORY OF INTERACTION BETWEEN ELECTRON BEAM AND TRAVELING ELECTROMAGNETIC WAVE: ALLOWING FOR INFLUENCE OF SPACE CHARGE IN A THIN BEAM MODEL

Cite this article as:

Krasnova G. М. ON TWO­DIMENSIONAL 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: https://doi.org/10.18500/0869-6632-2010-18-5-148-159

In the article two­dimensional model of interaction between infinitely thin electron beam in longitudinal magnetic field and traveling electromagnetic wave has been considered; in the frames of two­dimensional 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.

Authors: 
Krasnova G. М., Saratov State University, ul. Astrakhanskaya, 83, Saratov, 410012, Russia , krasnovagm@rambler.ru
Key words: 
Interaction between electron beam and traveling electromagnetic wave, O­type interaction, beam instability, space charge.
DOI: 
10.18500/0869-6632-2010-18-5-148-159
Literature

1. Андрушкевич В.С., Козлов Г.А., Трубецков Д.И. К двумерной линейной теории СВЧ приборов О-типа // Изв. вузов. Радиофизика. 1967. Т. 10, No 1. С. 105

2. Шевчик В.Н., Трубецков Д.И. Аналитические методы расчета в электронике СВЧ. М.: Советское радио, 1970.

3. Дёч Г. Руководство к практическому применению преобразования Лапласа и Z-преобразования. М.: Наука, 1971.

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BibTeX

@article{Краснова-IzvVUZ_AND-18-5-148,
author = {G. М. Krasnova},
title = {ON TWO­DIMENSIONAL LINEAR THEORY OF INTERACTION BETWEEN ELECTRON BEAM AND TRAVELING ELECTROMAGNETIC WAVE: ALLOWING FOR INFLUENCE OF SPACE CHARGE IN A THIN BEAM MODEL},
year = {2010},
journal = {Izvestiya VUZ. Applied Nonlinear Dynamics},
volume = {18},number = {5},
url = {https://old-andjournal.sgu.ru/en/articles/on-twodimensional-linear-theory-of-interaction-between-electron-beam-and-traveling},
address = {Саратов},
language = {russian},
doi = {10.18500/0869-6632-2010-18-5-148-159},pages = {148--159},issn = {0869-6632},
keywords = {Interaction between electron beam and traveling electromagnetic wave,O­type interaction,beam instability,space charge.},
abstract = {In the article two­dimensional model of interaction between infinitely thin electron beam in longitudinal magnetic field and traveling electromagnetic wave has been considered; in the frames of two­dimensional 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. }}