• DocumentCode
    1405970
  • Title

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

  • Author

    Lin, Jian-Cheng ; Durand, Dominique M.

  • Author_Institution
    Appl. Neural Control Lab., Case Western Reserve Univ., Cleveland, OH, USA
  • Volume
    34
  • Issue
    4
  • fYear
    1998
  • fDate
    7/1/1998 12:00:00 AM
  • Firstpage
    2177
  • Lastpage
    2184
  • Abstract
    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
  • Keywords
    magnetic fields; current monopole; magnetic field; oblate spheroid; prolate spheroid; volume conductor; Biomedical measurements; Conductors; Electric variables measurement; Electrical stimulation; Equations; Inverse problems; Magnetic analysis; Magnetic field measurement; Magnetic fields; Shape;
  • fLanguage
    English
  • Journal_Title
    Magnetics, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9464
  • Type

    jour

  • DOI
    10.1109/20.703852
  • Filename
    703852