J Austral Math Soc Ser B 37 pp267--278, 1995.

The EM response due to a plane sheet of arbitrary shape and conductivity profile

D. G. Hurley and P. F. Siew

(Received 18 October 1993; revised 23 February 1994)

Abstract

The eddy currents induced in a thin sheet of variable conductivity by a sinusoidally varying primary magnetic field are investigated in the low frequency limit when the depth of penetration of the primary field is much greater than the thickness of the sheet. The problem is formulated in terms of a set of integro-differential equations. The method of solution is applicable to bodies with arbitrary planar shape and the result is particularly useful in inverse problems involving bodies with conductivity inhomogeneities.

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Authors

D. G. Hurley
University of Western Australia, Nedlands, WA 6009.
P. F. Siew
School of Mathematics and Statistics, Curtin University of Technology, WA.

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