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
Mohammad H Maneshian et al 2009 Nanotechnology 20 495703
Bin Jiang et al J. Stat. Mech. (2008) P07008
Lan Hai-Ping and Zhang Shuang 2009 Chinese Phys. Lett. 26 117303
Tran Le et al 2009 Chinese Phys. Lett. 26 116801
Debdutta Lahiri et al 2009 J. Phys.: Conf. Ser. 190 012099
2009 Class. Quantum Grav. 26 220402
Chao-Hua Xue et al 2008 Nanotechnology 19 325605
M P E Wenger et al 2008 Nanotechnology 19 384006
Christopher J Satterley et al 2007 Nanotechnology 18 455304