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E. Jericha, R. Szeywerth, H. Leeb, G. Badurek:
"Reconstruction techniques for tensorial neutron tomography";
Physica B: Condensed Matter, 397 (2007), 159 - 161.

The development of techniques to determine the magnetic structure of ferromagnetic materials is still an issue for basic research. We
present in this contribution methods for tomographic reconstruction of magnetic domains in bulk material by means of polarized
neutrons. The effect of magnetic fields on the neutron wave function while traversing a ferromagnetic sample is described by means of
path ordered integrals. Such integrals may be determined experimentally in neutron depolarization or neutron interferometer
measurements. Application of inverse Radon transformation used in standard tomography does not yield acceptable results for large
rotation angles of the neutron polarization vector, due to path-ordering effects. Recently we have developed algorithms which take these
effects specifically into account. The best reconstruction results were so far obtained by a modified algebraic reconstruction technique.
We present the quality of reconstruction results for a simulated ferromagnetic test sample. These methods are particularly attractive since
they result in a direct 3D visualization of the spatial magnetization distribution in bulk material.