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Book Chapter

Electromagnetic Modeling with Surface Integral Equations

By
Eric H. Liu
Eric H. Liu
Lamontagne Geophysics Ltd., Kingston, Ontario K7L 4V4, Canada.
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Yves Lamontagne
Yves Lamontagne
Lamontagne Geophysics Ltd., Kingston, Ontario K7L 4V4, Canada.
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Published:
January 01, 1999

Summary.

We describe a new method for solving Maxwell’s equations that couples scalar surface integral equations (SIEs) with an iterative implementation of the (vector) boundary conditions. The formulation can handle multiple homogeneous regions and, in computational efficiency, compares favorably with the more conventional volume integral method. The system equations are solved iteratively in three stages: (1) iterations to solve the coupled scalar SIE; (2) iterations to implement vector boundary conditions; and (3) iterations to calculate surface fields in three dimensions. Numerical results for a sphere excited by a plane wave and for an oblate spheroid in a half-space excited by a rectangular surface loop show that the method is stable for a wide range of conductivity contrasts and gives reasonable results for the electromagnetic response from the resistive up to the inductive limit.

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Contents

Geophysical Developments Series

Three-Dimensional Electromagnetics

Society of Exploration Geophysicists
Volume
7
ISBN electronic:
9781560802154
Publication date:
January 01, 1999

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