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Integral-Equation Method for Modeling Transient Diffusive Electromagnetic Scattering

Evert C. Slob
Evert C. Slob
1 Applied Geophysics Section, Department of Applied Earth Sciences, Delft University of Technology, P.O. Box 5028, 2600 GA Delft, The Netherlands.
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Peter M. van den Berg
Peter M. van den Berg
2Laboratory of Electromagnetic Research, Department of Electrical Engineering, Delft University of Technology, P.O. Box 5031, 2600 GA Delft, The Netherlands.
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January 01, 1999


Standard 3-D integral-equation methods using pulse expansion functions and point matching have difficulties with large contrasts in conductivity between the body and the host. We formulate a new expansion with rectangular building blocks and trilinear functions that more accurately models general current distributions inside the scattering body without increasing the number of unknowns. The formulation is in the frequency domain; to transform results to the time domain, we solve for the coefficients of an expansion of the decaying field in transients that are determined analytically by the behavior of an iterative solution of the integral equation. The method requires a modest number of frequencies and is stable and accurate even at late times.

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Geophysical Developments Series

Three-Dimensional Electromagnetics

Society of Exploration Geophysicists
ISBN electronic:
Publication date:
January 01, 1999




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