## On Electric Focusing in the Fixed Frequency Cyclotron |

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acceleration additional Alternatively approximations arises assumption Atomic Bureau Carbide & Carbon CARBIDE AND CARBON Carbon Chemicals Division Central Files collimation term Company compared consider consistent contribution correction cross term curvature decelerates dee gap deflection due deflection gradient derivatives Distribution ds dsz du-dx dx dx dx Qz dx dx VX effect ELECTRIC FOCUSING energy change exist expansion expressed fact field variation FIXED FREQUENCY CYCLOTRON focusing term follows Forces fulfilled function gives the deflection higher Institute introduce Library M. E. Rose Maxwell's equations motion NATIONAL LABORATORY Oak Ridge obtain Operations Office orbit equation parallel parameters parametric form passes path phase change PHYSICS practically radius ratio reference region relations relative energy result rigorous side simply solutions space symmetry properties term neglected terms retained transform UNCLASSIFIED ORNL University vanishes vertical Washington