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An algorithm to determine a dipole current in a sphere
Author(s) -
Rim Kyung Soo,
Yun Beong In,
Chung SoonYeong
Publication year - 2006
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.821
Subject(s) - dipole , conductor , magnetic dipole , current (fluid) , mathematics , perpendicular , magnetic field , field (mathematics) , mathematical analysis , algorithm , geometry , physics , quantum mechanics , pure mathematics , thermodynamics
Abstract Suppose a spherical conductor has a single dipole. If it is assumed that the direction of current is perpendicular to the location of dipole, then we prove that the dipole can be obtained as an exact form from the induced magnetic field and provide an easy algorithm to locate the dipole from the samples of a magnetic field outside the sphere without using any series approximation. A numerical implementation is also presented. Copyright © 2006 John Wiley & Sons, Ltd.