Title :
Aperture lens formula corrected for space charge in the electron stream
Author :
Birdsall, Charles K.
Author_Institution :
General Electric Microwave Lab., Palo Alto, Calif.
fDate :
4/1/1957 12:00:00 AM
Abstract :
The aperture lens formula of Davisson and Calbick is rederived to include the effect of space charge forces. The correction is applied to a parallel flow Pierce gun, leading to the focal length reduction as a function of perveance, e.g., 30 per cent reduction at perveance 3 × 10-6.
Keywords :
Apertures; Cathodes; Cities and towns; Electric variables measurement; Electron beams; Electron devices; Electron guns; Electrons; Fluid flow measurement; Gaussian processes; Length measurement; Lenses; Solids; Space charge; Velocity measurement;
Journal_Title :
Electron Devices, IRE Transactions on
DOI :
10.1109/T-ED.1957.14215
