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Book Chapter

Iterative Algorithm for 3-D Microwave Imaging

By
Hong Gan
Hong Gan
Electromagnetics Laboratory, Department of Electrical and Computer Engineering, University of Illinois, Urbana, IL 61801, USA.
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Weng Cho Chew
Weng Cho Chew
Advanced Product Division, Cellular Infrastructure Group, Motorola, Arlington Heights, IL 60004, USA.
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Published:
January 01, 1999

Summary

We develop an inverse scattering algorithm for imaging 3-D dielectric scatterers with microwaves. The algorithm uses the biconjugate gradient and fast Fourier transform method (BCG-FFT) for forward modeling and a conjugate gradient algorithm to solve the inverse problem, which is formulated as a nonlinear optimization problem. The BCG-FFT method reduces the computational complexity of forward modeling to order N log2N, where N is the number of unknowns used to represent the vector fields in 3-D space. The conjugate gradient method requires the computation of the Fréchet derivative (matrix of partial derivatives) operating on a vector of residuals, which is equivalent to solving another forward problem. Simulations show the efficiency of this algorithm, especially when the number of illumination angles is limited.

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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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