Pole Face Shape Design in High-Energy Accelerators

An analytic method for designing pole face shape is presented, which gets the desired value of the field index in a given region, withaprescribed error. The method has three stages, corresponding to the successive computation of : - the ideal pole face shape and ideal equipotential set (previously developed by the author); - the equipotential set, taking into account fringing field effects, by means of conformal mapping; - the necessary corrections at the edges of the ideal pole face by means of conformal mapping, for obtaining the desired field distribution. As an example, the pole face shape for a 300-GeV synchrotron with n=5040 is computed. The method applies to every magnetic device having a radially constant field index.