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arXiv · 0904.2469

On iterative reconstruction in the nonlinearized polarization tomography

Roman Novikov
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Abstract

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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Roman Novikov. 2009-04-16. On iterative reconstruction in the nonlinearized polarization tomography. https://doi.org/10.1088/0266-5611%2F25%2F11%2F115010

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