On iterative reconstruction in the nonlinearized polarization tomography
Mathematical Physics
2015-05-13 v1 Analysis of PDEs
Functional Analysis
math.MP
Optics
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.
Cite
@article{arxiv.0904.2469,
title = {On iterative reconstruction in the nonlinearized polarization tomography},
author = {Roman Novikov},
journal= {arXiv preprint arXiv:0904.2469},
year = {2015}
}