Grynszpan F, Geselowitz D B
Biophys J. 1973 Sep;13(9):911-25. doi: 10.1016/S0006-3495(73)86034-5.
A general expression is developed for the quasi-static magnetic field outside an inhomogeneous nonmagnetic volume conductor containing internal electromotive forces. Multipole expansions for both the electric and magnetic fields are derived. It is shown that the external magnetic field vanishes under conditions of axial symmetry. The magnetic field for a dipole current source in a sphere is derived, and the effect of an eccentric spherical inhomogeneity is analyzed. Finally the magnetic dipole moment is calculated for a current dipole in a conducting prolate spheroid.
推导了包含内部电动势的非均匀非磁性体导体外部准静态磁场的一般表达式。推导了电场和磁场的多极展开式。结果表明,在轴对称条件下外部磁场消失。推导了球体中偶极电流源的磁场,并分析了偏心球形不均匀性的影响。最后计算了导电长椭球体中电流偶极子的磁偶极矩。