A Study of the Injection Process in Betatrons and Synchrotrons

Author: Judd, David Lockhart

Year: 1950

Degree: Dissertation (Ph.D.)

Advisor: Davis, Leverett

Committee Member: Unknown, Unknown

Option: Physics; Mathematics

DOI: 10.7907/58wp-w385

Abstract

The effects of azimuthal inhomogeneities in the magnetic guiding field of betatrons and synchrotons, and of non-liner terms in the equations of motion of the particles have been investigated in detail, with particular emphasis on their influence during injection. The principal objective has been to determine whether these effects may provide an explanation of the success of the injection process, and whether by appropriate adjustments they may be used to enhance its effectiveness, by inducing a resonant behavior of a favorable nature. It is concluded that these effects alone cannot explain the observed injection phenomena, and that it is very difficult to use magnetic inhomogeneities to produce favorable effects. An explanation has been found for the satisfactory performance of some accelerators in which unfavorable resonant effects have been predicted by other workers

An additional study of the electromagnetic interactions of the electrons has yielded a more satisfactory description of the injection process. These results, which may be discussed in terms of space charge and self-inductance effects, extend and clarify the recent suggestions of Kerst, and provide quantitative estimates of the effects responsible for the success of injection.

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