The Water-bag Model of a Sheet Electron Beamy
- 1 November 1962
- journal article
- electronic section
- Published by Taylor & Francis in Journal of Electronics and Control
- Vol. 13 (5) , 417-424
- https://doi.org/10.1080/00207216208937448
Abstract
A shoot electron beam in a fictitious focusing field regarded as purely electric in a frame moving with the electron is analysed in terms of a model in which the phase space density changes in discrete steps at certain contour lines in the phase plane. The equilibria and the eigenvalues for small perturbations in the case of a single contour are worked out. The advantage of this technique is that the only significant motions are those of the contour itself, the phase fluid inside being incompressible and homogeneous.Keywords
This publication has 2 references indexed in Scilit:
- Resistance as Dissipation into Many Reactive Circuits: Landau Damping and Nyquist's Noise TheoremJournal of Applied Physics, 1961
- Brillouin Flow in Relativistic Beams†Journal of Electronics and Control, 1961