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@ARTICLE{Nolte:46762,
      author       = {Nolte, G. and Fieseler, T. and Curio, G.},
      title        = {{P}erturbative analytical solutions of the magnetic forward
                      problem for realistic volume conductors},
      journal      = {Journal of applied physics},
      volume       = {89},
      issn         = {0021-8979},
      address      = {Melville, NY},
      publisher    = {American Institute of Physics},
      reportid     = {PreJuSER-46762},
      pages        = {2360 - 2369},
      year         = {2001},
      note         = {Record converted from VDB: 12.11.2012},
      abstract     = {The magnetic field induced by a current dipole situated in
                      a realistic volume conductor cannot be computed exactly.
                      Here, we derive approximate analytical solutions based on
                      the fact that in magnetoencephalography the deviation of the
                      volume conductor (i.e., the head) from a spherical
                      approximation is small. We present an explicit integral form
                      which allows to calculate the nth order Taylor expansion of
                      the magnetic field with respect to this deviation from the
                      corresponding solution of the electric problem of order n-1.
                      Especially, for a first order solution of the magnetic
                      problem only the well-known electric solution for a
                      spherical volume conductor is needed. The evaluation of this
                      integral by a series of spherical harmonics results in a
                      fast algorithm for the computation of the external magnetic
                      field which is an excellent approximation of the true field
                      for smooth volume conductor deformations of realistic
                      magnitude. Since the approximation of the magnetic field is
                      exactly curl-free it is equally good for all components. We
                      estimate the performance for a realistic magnitude of
                      deformations by comparing the results to the exact solution
                      for a prolate spheroid. We found a relevant improvement over
                      corresponding solutions given by the boundary element method
                      for superficial sources while the performance is in the same
                      order for deep sources. (C) 2001 American Institute of
                      Physics.},
      keywords     = {J (WoSType)},
      cin          = {IME},
      ddc          = {530},
      cid          = {I:(DE-Juel1)VDB54},
      pnm          = {Zerebrale Repräsentation},
      pid          = {G:(DE-Juel1)FUEK90},
      shelfmark    = {Physics, Applied},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000166688300058},
      doi          = {10.1063/1.1337089},
      url          = {https://juser.fz-juelich.de/record/46762},
}