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Proceedings Paper

Dispersion Relation Of The Diocotron Instability In A High Power Cylindrical Magnetron
Author(s): Han S Uhm; Howard E Brandt
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Paper Abstract

The dispersion relation of the diocotron instability in the relativistic electron flow generated inside a cylindrical magnetron is derived within the framework of a linearized macroscopic fluid model. A massless guiding-center approximation is made for the theoretical calculation to be analytically tractable. In addition, a sharp-boundary density approximation is made, which ensures a strong surface perturbation. The closed algebraic dispersion relation obtained in this article is fully relativistic and fully electromagnetic. Influence of the anode resonator effects are also fully incorporated. The dispersion relation is a transcendental function which can be numerically solved to investigate the diocotron stability properties for a broad range of magnetron system parameters.

Paper Details

Date Published: 9 May 1988
PDF: 9 pages
Proc. SPIE 0873, Microwave and Particle Beam Sources and Propagation, (9 May 1988); doi: 10.1117/12.965078
Show Author Affiliations
Han S Uhm, Naval Surface Warfare Center (United States)
Howard E Brandt, Harry Diamond Laboratory (United States)


Published in SPIE Proceedings Vol. 0873:
Microwave and Particle Beam Sources and Propagation
Norman Rostoker, Editor(s)

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