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An image method to compute the static magnetic field due to currents injected into a homogeneous, conducting, and magnetically polarizable half‐space
Author(s) -
Sezginer A.,
Habashy T. M.,
Wait J. R.
Publication year - 1988
Publication title -
radio science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.371
H-Index - 84
eISSN - 1944-799X
pISSN - 0048-6604
DOI - 10.1029/rs023i001p00041
Subject(s) - magnetic field , electrical conductor , current (fluid) , biot number , magnetostatics , homogeneous , space (punctuation) , field (mathematics) , physics , half space , mathematical analysis , classical mechanics , mathematics , computer science , mechanics , quantum mechanics , pure mathematics , thermodynamics , operating system
An image method for computing the static magnetic field due to an arbitrary current injected into a conducting and polarizable half‐space is derived. The advantage of this approach is that the magnetic field is given in terms of a Biot‐Savart integral over only the impressed current sources and their finitely many images. Integration over the conducting currents, which are distributed in the entire conductive half‐space, is avoided. The magnetic field is evaluated in closed form when the conductors that feed current to the electrodes are laid out in a rectilinear path.