Abstract
This research presents fast-computed analytical expressions and the analysis of the magnetic field distribution created by a permanent magnet with a conical shape. The expressions are derived based on the charge model and geometrical analysis. The results of the magnetic field, computed using the analytical model, are in good agreement with those computed using the Finite Element Analysis. It took less than 1.1 ms to execute each of the derived expressions on a personal computer, which demonstrates their efficiency over the well-known Finite Element Analysis method, in terms of computation time. The magnetic field distribution of an annular cone is analysed, assuming that it is used to generate the magnetic field for the magnetic resonance image of a human head. As a result, the radial component of the magnetic field deceases with the increase of the cone’s height while the cone’s angles are constant. On the other hand, the radial component increases with the increase of the cone’s angles, while the cone’s height is constant. This phenomenon is also applicable to the azimuthal component.
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