The excitation and evolution of the radial oscillations of ions in the cyclotron has been studied theoretically and experimentally. A simple method for calculating the pattern of the oscillations leads to detailed criteria for the preparation of the magnetic field and a systematic theory of shimming. A new method for measuring the pattern of the oscillations is used to check the theory. The results are applied briefly to the problem of beam extraction.
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P.V.C. Hough (1953) studied this question.
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