Magnetic focusing of electron beams in the presence of transverse velocity components
Abstract
The behavior of nonlaminar electron beams having an originally Gaussian current density distribution in a uniform magnetic field is studied by analytical and numerical methods. The effects of transverse velocity components in the beam are described by a fictitious, equivalent perveance which is proportional to the square of the rms value of the transverse beam velocity. Simple expressions are given for the magnetic field required to achieve a certain beam transmission through a tunnel of given diameter, and for the optimum beam filling factor. In the appendix a simple experimental method for the determination of the rms value of the transverse beam velocity is described.
 Publication:

IEEE Transactions on Electron Devices
 Pub Date:
 May 1981
 DOI:
 10.1109/TED.1981.20369
 Bibcode:
 1981ITED...28..473H
 Keywords:

 Electron Beams;
 Magnetic Lenses;
 Velocity Distribution;
 Charge Distribution;
 Current Density;
 Electron Energy;
 Lorentz Force;
 Magnetic Field Configurations;
 Normal Density Functions;
 Plasma Waves;
 Space Charge;
 Electronics and Electrical Engineering