Polarimetric Neutron Magnetic Field Tomography : a non-Abelian ray transform

Naeem Desai (University of Manchester)

Frank Adams 2,

We consider the problem of determination of a magnetic field from neutron spin tomography data. We see that this is an example of a non-Abelian ray transform and that the problem has a unique solution for smooth magnetic fields. We go on to show that the linearized problem about a zero magnetic field reduces to a plane Radon transforms and suggest a Newton-Kantarovich algorithm for the numerical solution of the nonlinear problem.

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