Rich and Nonabelian Tomography: strain and magnetic fields

Lionheart,William; Desai,Naeem; Schmidt, Søren; Withers, Philip

doi:10.5281/zenodo.61797

September 8, 2016 Presentation Open Access

Rich and Nonabelian Tomography: strain and magnetic fields

Lionheart,William; Desai,Naeem ; Schmidt, Søren; Withers, Philip

We outline rich tomography methods concentrating on tensor tomography of strain using gamma rays and monochromatic ex-rays, and neutron spin tomography for magnetic fields

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References

Martin Dawson, Ingo Manke, Nikolay Kardjilov, Andre Hilger, Markus Strobl, and John Banhart.
Imaging with polarized neutrons.
New Journal of Physics, 11(4):043013, 2009.
DOI 10.1088/1367-2630/11/4/043013.
Gregory Eskin.
On non-abelian radon transform.
Russ. J. Math. Phys, 11(4):391–408, 2004.
ArXiV math/0403447.
Nikolay Kardjilov, Ingo Manke, Markus Strobl, Andre Hilger, Wolfgang Treimer, Michael Meissner, Thomas Krist, and John Banhart.
Three-dimensional imaging of magnetic fields with polarized neutrons.
Nat Phys, 4:339–403, 10 2008.
DOI 10.1038/nphys912.
W R B Lionheart and N Desai.
Explicit reconstruction algorithm for the transverse ray transform with three axes.
Inverse Problems, 2016.
F. Natterer.
The Mathematics of Computerized Tomography.
Classics in Applied Mathematics. Society for Industrial and Applied Mathematics, 2001.
V.A. Sharafutdinov.
Integral Geometry of Tensor Fields.
Inverse and ill-posed problems series. VSP, 1994.
Also online.
Wolfgang Treimer.
Radiography and tomography with polarized neutrons.
Journal of Magnetism and Magnetic Materials, 350(0):188 – 198, 2014.
DOI 10.1016/j.jmmm.2013.09.032.
Treimera W, Ebrahimib O, and Karakasa N.
Imaging of quantum mechanical effects in superconductors by means of polarized neutron radiography.
Physics Procedia, 43(0):243 – 253, 2013.
DOI 10.1016/j.phpro.2013.03.028.