On iterative reconstruction in the nonlinearized polarization tomography

Details On iterative reconstruction in the nonlinearized polarization tomography On iterative reconstruction in the nonlinearized polarization tomography

2009-04-16

arxiv.org/abs/0904.2469v1

Inverse Problems 25, 11 (2009) 115010 (18pp)

Physics

Mathematical Physics

Scientific paper

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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