R G Novikov 2009 Inverse Problems 25 115010 doi:10.1088/0266-5611/25/11/115010
R G Novikov
Show affiliationsWe 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.
41.20.Jb Electromagnetic wave propagation; radiowave propagation
44A12 Radon transform (See also 92C55)
78A46 Inverse scattering problems
15A24 Matrix equations and identities
Issue 11 (November 2009)
Received 5 May 2009, in final form 10 September 2009
Published 29 October 2009
R G Novikov 2009 Inverse Problems 25 115010
S Boukraa et al 2008 J. Phys. A: Math. Theor. 41 455202
E Sadurní and T H Seligman 2008 J. Phys. A: Math. Theor. 41 102002
Pier Lorenzo Solari et al 2009 J. Phys.: Conf. Ser. 190 012042
Dehui Xu et al 2009 J. Micromech. Microeng. 19 125003
K Vijayanandhini et al 2009 J. Phys.: Condens. Matter 21 486002
Jian Ye et al 2009 J. Phys.: Conf. Ser. 190 012104
M Novák 2009 J. Phys. D: Appl. Phys. 42 225306
Gloria Subías et al 2009 J. Phys.: Conf. Ser. 190 012088
Takashi Maruyama et al 2009 J. Phys.: Conf. Ser. 190 012018