## A magnet profile design by computer simulation |

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2.2 GeV synchrotron approximation error array assumption of infinite Berkeley vs Cornell betatron centered Chosen for Contour circle of radius computer program Computer round-off constant gradient control options CORNELL UNIVERSITY LIBRARY current term Distances To Neighboring electron equilibrium orbit equipotential surface finite difference equation finite difference form GeV synchrotron magnets hyperbola infinite permeability iron/air boundary irregular boundary iterated and continues Lamination Mark Laplacian left-hand coil edge Livingston and Blewett machine computation Magnet Design Program MAGNET PROFILE DESIGN Magnet Showing Boundary magnetic field mechanical error Mesh Point Methods in Theoretical modified potential function Neighboring Points numerical calculation numerical solution parameters Particle Accelerators Points are Unequal Pole Dimensions pole profile design pole region pole tip problem Radiation Laboratory Relaxation Methods Richard Roland Guyette right-hand coil edge ring magnets scalar potential Schematic Diagram Showing Boundary Conditions Southwell Surrounding the Mesh Theoretical Physics Unit Square Surrounding Vector Potential vertical coil boundary