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Book Chapter

Linearized 3-D Electromagnetic Vector Wave Inversion

By
Karl J. Langenberg
Karl J. Langenberg
Department of Electrical Engineering, University of Kassel, 34109 Kassel, Germany.
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Michael Brandfaß
Michael Brandfaß
Department of Electrical Engineering, University of Kassel, 34109 Kassel, Germany.
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Andreas Fritsch
Andreas Fritsch
Department of Electrical Engineering, University of Kassel, 34109 Kassel, Germany.
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Bernd Potzkai
Bernd Potzkai
Department of Electrical Engineering, University of Kassel, 34109 Kassel, Germany.
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Published:
January 01, 1999

Summary

Generalized (scalar) diffraction tomography is a linear inverse scattering method that can be extended to electromagnetic vector fields with complete polarization information. Its essential equation is a vector form of the Porter–Bojarski integral equation linearized in the material parameters through the Kirchhoff approximation to scattering. This vector equation can be inverted with dyadic algebra and the standard techniques of diffraction tomography using data from multiple frequencies (frequency diversity) or multiple angles of incidence (angle diversity). An algorithm using scattering at multiple frequencies to reconstruct perfectly conducting objects is discussed in detail and checked against synthetic data generated with the MAFIA code for an airplane model. The results are overwhelmingly superior to those obtained by scalar inversion.

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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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