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J. Appl. Phys. 44, 3790 (1973); http://dx.doi.org/10.1063/1.1662845 (2 pages)

Uniqueness theorem for a static electric or magnetic field in a saturable medium

Charles W. Steele

Ampex Corporation, Redwood City, California 94063

(Received 12 March 1973)

A uniqueness theorem for a static electric or magnetic field in an isotropic but saturable medium is presented. We show that if, in a given region, B and H are appropriately related and Maxwell's equations are satisfied, and if over the boundary of that region either normal B or tangential H is prescribed, then both B and H are unique in that region. A similar statement can be made about D and E in an electric field calculation if, in addition, we assume that the region is free of electric charge.

© 1973 American Institute of Physics

ARTICLE DATA

PUBLICATION DATA

ISSN

0021-8979 (print)  
1089-7550 (online)

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