Brillouin Flow in Relativistic Beams†
- 1 February 1961
- journal article
- research article
- Published by Taylor & Francis in Journal of Electronics and Control
- Vol. 10 (2) , 139-146
- https://doi.org/10.1080/00207216108937309
Abstract
A solution in closed form for Brillouin flow under relativistic conditions in a cylindrical geometry is derived in the limit of low beam temperature. Curves and formulae are given relating density, magnetic field, energy and tangential velocity throughout the beam. In particular it is found that the forward velocity is constant to all orders in the radial coordinate, that under ultra-relativistic conditions the beam of maximum perveance has a forward velocity approaching c/√2, and that the maximum current is proportional in the ultra-relativistic limit to the square of the energy of the outermost particles.Keywords
This publication has 1 reference indexed in Scilit:
- ``Brillouin Flow'' with Thermal VelocitiesJournal of Applied Physics, 1953