Hostname: page-component-77c89778f8-5wvtr Total loading time: 0 Render date: 2024-07-24T22:39:59.754Z Has data issue: false hasContentIssue false
  • English
  • Français

The calculation of the electromagnetic field in an Alvarez type linear accelerator

Published online by Cambridge University Press:  24 October 2008

Fred Ford
Fred Ford
Affiliation:
Department of MathematicsManchester University
Get access Rights & Permissions [Opens in a new window]

Abstract

A recently developed theory of the electromagnetic field in nearly periodic structures is used to calculate the field in an Alvarez type linear accelerator. The problem is reduced to the solution of the transmission line equations for the ‘voltage’ and ‘current’ of the dominant mode. Formulae are given for the coefficients in these equations, and also for the ratio of mode current to accelerating field, as functions of the cavity dimensions of the accelerator; numerical values are given for the Berkeley accelerator.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 56 , Issue 3 , July 1960 , pp. 252 - 268
Copyright
Copyright © Cambridge Philosophical Society 1960

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

(1)Wild, E.Quart. J. Mech. Appl. Math. 10 (1957), 322–41.Google Scholar
(2)Alvarez, L. W. et al. Rev. Sci. Inst. 26 (1955), 111–33.CrossRefGoogle Scholar
(3)Stratton, J. A.Electromagnetic theory (New York, 1941).Google Scholar