Effect of Inductive and Capacitive Walls on the Diocotron Instability
- 1 June 1968
- journal article
- research article
- Published by AIP Publishing in Journal of Applied Physics
- Vol. 39 (7), 3171-3177
- https://doi.org/10.1063/1.1656752
Abstract
The influence of inductive and capacitive walls on the diocotron effect in a cylindrical charge layer of arbitrary thickness and infinite length is analyzed by means of a hydromagnetic model. The density in the layer is such that ωp2/ωc2≪1 holds, where ωp is the plasma frequency and ωc the cyclotron frequency. A dispersion relation is derived which relates the oscillation frequency and wavenumber to the wall impedances and the geometric parameters of the system. Stability criteria are also derived.Keywords
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