Influence of Space Charge on the Bunching of Electron Beams
- 1 August 1946
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 70 (3-4), 187-196
- https://doi.org/10.1103/physrev.70.187
Abstract
A rigorous computation of electron trajectories within plane structures may be made, with the inclusion of space-charge effects, by use of the Llewellyn method of integration. These computations can be used for a discussion of conditions leading to intercrossing trajectories, i.e., bunching. The discussion has been carried out for a conventional plane diode, for a diode wherein electrons are injected with a given initial velocity, for a velocity-modulated beam, for a plane magnetron, and for a plane magnetron with velocity modulation. In the last case it can be proved that trajectories intercross not once but many times thus disentangling themselves after a while, then crossing again and soon.Keywords
This publication has 2 references indexed in Scilit:
- On the Currents Carried by Electrons of Uniform Initial VelocityPhysical Review B, 1944
- On the Theory of Space Charge Between Parallel Plane ElectrodesBell System Technical Journal, 1938