Linearized inversion methods for three-dimensional electromagnetic imaging in the multiple scattering regime

In optical or microwave computational tomography, the sample permittivity is reconstructed numerically from the measurements of its scattered field for various illuminations. When the light sample interaction involves multiple scattering, the relationship between the scattered field and the permitti...

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Bibliographic Details
Published in:Journal of modern optics 2018-09, Vol.65 (15), p.1787-1792
Main Authors: Unger, Kevin, Zhang, Ting, Chaumet, Patrick C., Sentenac, Anne, Belkebir, Kamal
Format: Article
Language:English
Subjects:
Inverse problem
Inversion
Iterative methods
Light
Linearization
Medical imaging
Multiple scatter
Optics
Permittivity
Physics
Reconstruction
Satellites
Target recognition
vectorial scattering
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Summary:In optical or microwave computational tomography, the sample permittivity is reconstructed numerically from the measurements of its scattered field for various illuminations. When the light sample interaction involves multiple scattering, the relationship between the scattered field and the permittivity is non-linear and a direct reconstruction is not possible. Using a simple physical approach, adapted to the three-dimensional vectorial electromagnetic framework, we derive an iterative inversion technique, based on the linearization of the scattering operator, for imaging (possibly anisotropic) targets in the multiple scattering regime. We investigate the performances of different approximations of this operator accounting for more or less multiple scattering. Our method is applied to the reconstruction of targets in the microwave domain using experimental data.
ISSN:0950-0340
1362-3044
DOI:10.1080/09500340.2018.1459912