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Magnetic field of current monopoles in prolate and oblate spheroid volume conductors

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2 Author(s)
Jian-Cheng Lin ; Appl. Neural Control Lab., Case Western Reserve Univ., Cleveland, OH, USA ; Durand, D.M.

We derive an equation for the magnetic field contributed from the volume current generated by a current monopole in two special finite volume conductor shapes, i.e., prolate spheroid and oblate spheroid. In deriving the equation, fixed referential current monopoles are added to the finite system in order to balance the volume current generated by the current monopole under study. The location of these monopoles is chosen such that they produce an equipotential surface which coincides with the volume conductor and therefore do not contribute to the magnetic field. The magnetic field generated by arbitrarily distributed, but balanced, current monopoles within a prolate or oblate spheroid volume conductor can then be derived. The magnetic field generated by a current dipole in these volume conductors can then be obtained from the monopole solution and is identical to the previously derived dipole solution

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Magnetics, IEEE Transactions on  (Volume:34 ,  Issue: 4 )