On iterative reconstruction in the nonlinearized polarization tomography - Archive ouverte HAL
Article Dans Une Revue Inverse Problems Année : 2009

On iterative reconstruction in the nonlinearized polarization tomography

Résumé

We give uniqueness theorem and reconstruction algorithm for the nonlinearized problem of finding the dielectric anisotropy f of the medium from non-overdetermined polarization tomography data. We assume that the medium has uniform background parameters and that the anisotropic (dielectric permeability) perturbation is described by symmetric and sufficiently small matrix-function f . On a pure mathematical level this article contributes to the theory of non-abelian Radon transforms and to iterative methods of inverse scattering.
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Dates et versions

hal-00375936 , version 1 (16-04-2009)

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Roman Novikov. On iterative reconstruction in the nonlinearized polarization tomography. Inverse Problems, 2009, 25 (11), 115010 (18pp). ⟨hal-00375936⟩
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