Optimal design of magnetic systems

The methods and the algorithms of the magnetic system design, producing the fields with a required distribution (the inverse problem of magnetostatics), are considered. The mathematical statement of the problem is reduced to the expansion of a given function into Fourier series on a non-orthonormal basis. The basis functions are the fields of the sections of a magnetic system, and the coefficients of the expansion are the components of the magnetization vector of the sections (the vector synthesis). The algorithms proposed to solve the problem take into account the physical constraints on the magnetization distribution of the assembly sections.