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Transient electromagnetic response of a layered conducting medium at asymptotically late times

Published online by Cambridge University Press:  17 February 2009

D. M. O'Brien  and
R. S. Smith
D. M. O'Brien
Affiliation:
CSIRO Division of Atmospheric Research, Private Bag 1, Mordialloc, Vic. 3195, Australia.
R. S. Smith
Affiliation:
Department of Physics, Univerisity of Toronto, Toronto, Ontario, CanadaM5S 1A7.
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Abstract

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In this paper we consider a pair of horizontal conducting loops in the air above a horizontally layered ground. The transmitting loop is driven by a current source which rises from zero at time zero to a final constant value at time τ. We first compute the e.m.f. induced in the receiving loop and derive an asymptotic series for the e.m.f. at late times. Secondly, we estimate the error in truncating the asymptotic series at N terms and design a reliable numerical algorithm for summing the asymptotic series.

Type
Research Article
Information
The ANZIAM Journal , Volume 27 , Issue 1 , July 1985 , pp. 1 - 30
Copyright
Copyright © Australian Mathematical Society 1985

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