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I.—Focusing of Electron Beams in Crossed Static Electric and Magnetic Fields*

Published online by Cambridge University Press:  14 February 2012

P. S. Farago
P. S. Farago
Affiliation:
Department of Natural Philosophy, University of Edinburgh.
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Synopsis

In a crossed static homogeneous electric and magnetic field charged particles describing trochoidal orbits in a plane perpendicular to the direction of the magnetic field are focused, but a beam emitted by a point source in a finite solid angle spreads out indefinitely in the direction parallel to the magnetic field. The essential characteristics of trochoidal orbits can be preserved if the superimposed magnetic and electric fields are two-dimensional and orthogonal, such as derived from a vector potential, say, Ax = A(y, z), Av = Az = O, and a scalar potential Ф(y, z)= const. A(y, z). The focusing properties of such a field combination depend on the distribution of the magnetic field only. Following some general considerations, specific examples of double focusing field distributions are given, and the electron motion in one of them is treated in detail.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 66 , Issue 1 , 1962 , pp. 1 - 19
Copyright
Copyright © Royal Society of Edinburgh 1962

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References

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