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Proceedings Paper

Linear theory of high-power cylindrical magnetron
Author(s): Han Sup Uhm; H. C. Chen; Robert A. Stark; Howard E. Brandt
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Paper Abstract

Stability properties of the extraordinary mode perturbations in relativistic electron flow in a cylindrical magnetron are investigated within the framework of the macroscopic cold fluid model. The eigenvalue equations for the extraordinary mode waves are obtained. In the tenuous beam limit the eigenvalue equation is considerably simplified and a closed algebraic dispersion relation is obtained. Numerical investigation of this dispersion relation over a broad range of system parameters has been carried out. It is concluded that the extraordinary mode perturbations in a tenuous electron flow in a cylindrical magnetron are absolutely stable. The full eigendifferential equation is solved numerically for the stability of the extraordinary modes for intense electron flow (Brillouin flow). The investigation is concentrated on low frequency perturbations (w Wc) and the A6 anode geometry. For this case all the lowest modes are found to be stable. 1.

Paper Details

Date Published: 1 April 1990
PDF: 18 pages
Proc. SPIE 1226, Intense Microwave and Particle Beams, (1 April 1990); doi: 10.1117/12.18546
Show Author Affiliations
Han Sup Uhm, Naval Surface Warfare Ctr. (United States)
H. C. Chen, Naval Surface Warfare Ctr. (United States)
Robert A. Stark, Naval Surface Warfare Ctr. (United States)
Howard E. Brandt, Harry Diamond Labs. (United States)


Published in SPIE Proceedings Vol. 1226:
Intense Microwave and Particle Beams
Howard E. Brandt, Editor(s)

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