Abstract
A new approach, the multipole theory (MT) method based on the magnetic scalar potential, is presented for the computation of 3D magnetostatic field problems. The essential concept is to represent the solution of the governing partial differential equation by the generalized MT formula of the 3D Laplace equation. The least squares method reduces the problem to the solution of a set of linear equations. Ferromagnetic sphere and iron cube in uniform magnetic fields, and iron cylinder in the field of a cylindrical coil are considered as examples. The results obtained by the MT method are in excellent agreement with the accurate data reported in the literatures.
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