Compact finite difference method for calculating magnetic field components of cyclotrons

摘要

the compact finite difference method was developed for calculat- ing the off median plane magnetic field components of cyclotrons when only the measured midplane field data are available. It has been shown that the proposed compact finite difference differentia- tors are better than the finite difference differentiators previously reported by the author. The proposed compact finite difference method was tested by comparing the frequency response, by applying to an analytical magnetic field, and by applying to mea- sured magnetic field data of the K1200 superconducting cyclotron at the National Superconducting Cyclotron Laboratory.