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Proceedings Paper

Kinetic stability analysis of the extraordinary mode perturbations in a cylindrical magnetron
Author(s): Han Sup Uhm; H. C. Chen; Robert A. Stark
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Paper Abstract

Stability properties of the extraordinary mode perturbations in a relativistic electron flow in a cylindrical magnetron are investigated within the framework of the linearized Vlasov-Maxwell equations. The stability analysis is carried out under the assumptions that the layer is thin and relatively tenuous and that the phase velocity of the perturbed waves is very close to the mean drift velocity of the layer. The perturbed distribution function is calculated by integrating along the electron orbit. The eigenvalue equation is derived and solved in the vacuum and layer regions. Solution in the vacuum region includes the resonator influence and cylindrical curvature effects. A closed algebraic dispersion relation is obtained for the synchronous modes. Analytical investigation of the dispersion relation is carried out for the resonance modes, which are very close to the vacuum modes in the magnetron circuit. The necessary and sufficient condition for instability is obtained for the resonance modes. It is shown that typical growth rates of the instability are few percents of the electron cyclotron frequency.

Paper Details

Date Published: 1 April 1991
PDF: 15 pages
Proc. SPIE 1407, Intense Microwave and Particle Beams II, (1 April 1991); doi: 10.1117/12.43487
Show Author Affiliations
Han Sup Uhm, Naval Surface Warfare Ctr. (South Korea)
H. C. Chen, Naval Surface Warfare Ctr. (United States)
Robert A. Stark, Naval Surface Warfare Ctr. (United States)

Published in SPIE Proceedings Vol. 1407:
Intense Microwave and Particle Beams II
Howard E. Brandt, Editor(s)

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