Full-Wave Three-Dimensional Microwave Imaging With a Regularized Gauss-Newton Method-- Theory and Experiment

Abstract : A reconstruction algorithm is detailed for three-dimensional full-vectorial microwave imaging based on Newton-type optimization. The goal is to reconstruct the three-dimensional complex permittivity of a scatterer in a homogeneous background from a number of time-harmonic scattered field measurements. The algorithm combines a modified Gauss-Newton optimization method with a computationally efficient forward solver, based on the fast Fourier transform method and the marching-on-in-source-position extrapolation procedure. A regularized cost function is proposed by applying a multiplicative-additive regularization to the least squares datafit. This approach mitigates the effect of measurement noise on the reconstruction and effectively deals with the non-linearity of the optimization problem. It is furthermore shown that the modified Gauss-Newton method converges much faster than the Broyden-Fletcher-Gold-farb-Shanno quasi-Newton method. Promising quantitative reconstructions from both simulated and experimental data are presented. The latter data are bi-static polarimetric free-space measurements provided by Institut Fresnel, Marseille, France.
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https://hal.archives-ouvertes.fr/hal-00438194
Contributor : Jean-Michel Geffrin <>
Submitted on : Wednesday, December 2, 2009 - 6:50:18 PM
Last modification on : Friday, April 5, 2019 - 8:05:14 PM

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Jürgen de Zaeytijd, Ann Franchois, Christelle Eyraud, Jean-Michel Geffrin. Full-Wave Three-Dimensional Microwave Imaging With a Regularized Gauss-Newton Method-- Theory and Experiment. IEEE Transactions on Antennas and Propagation, Institute of Electrical and Electronics Engineers, 2007, 55 (2), pp.3279-3292. ⟨hal-00438194⟩

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