Designing particular magnetic field profiles by computer

A design of specific magnetic-field profiles was performed by a power series of the general field formulas up to the 11th term. The application of this method, instead of the usual integration, was required to increase the speed of the calculation by a factor of a few hundreds and to decrease the memory capacity needed permanently for the stored data. For given magnetic parameters, the program has a self-consistent procedure to gain the prescribed homogeneity taking into account the layer distribution. The operation can be extended to the planning of strongly inhomogeneous magnetic systems as well. The elaborated method is also applicable to conventional, superconducting, multifilamentary, and high-T_c magnets