Analysis of the Electromagnetic Modes Propagated on an Electron Beam.
HARRY DIAMOND LABS ADELPHI MD
Pagination or Media Count:
The relationship of electron density, current density, and electric field, for an electron beam is derived by using Maxwells equations and the Lorentz force equation. The resulting wave equations are solved for a ribbon electron bean and a cylindrical beam. It is shown that there exist modes propagating along the beam much the same as waves in dielectric waveguides. However, unlike dielectric waveguides, the number of modes of an electron beam is doubly infinite. One set of waves propagates along the beam with phase velocity greater than the speed of the electrons in the beam. The other set has the phase velocity less than the electrons. The phase velocity of both sets of waves approaches the electron velocity for very large mode number. The total energy propagated down the electron beam is given, and the fraction of energy outside the beam is shown to be larger for a cylindrical beam than for a ribbon beam.
- Electricity and Magnetism
- Nuclear Physics and Elementary Particle Physics