Abstract. We give a uniqueness theorem and a 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 paper contributes to the theory of non-Abelian Radon transforms and to iterative methods of inverse scattering.

Print publication: Issue 11 (November 2009)
Received 5 May 2009, in final form 10 September 2009
Published 29 October 2009