Application of a new model of residual magnetization of iron for calculating the deflecting magnet of an accelerator

Allowing for residual magnetization of iron is necessary when calculating the magnetic field of elements of electron-optical channels in charged-particle accelerators because the contribution of residual magnetization to the field in the gap can be on the order of mT. Moreover, the magnitude and sign of this contribution depend on the magnetization process. Earlier, we proposed a model of residual magnetization of iron with the use of a small number of magnetic domain types. Here, an algorithm for magnetic-field calculation with the use of this model is described. The ability of the algorithm was demonstrated for the case of a simplest electromagnet with an $O$-shaped magnetic circuit. Comparison with the measurement results demonstrated a satisfactory accuracy of allowing for residual magnetization.