Methods for Extremely Sparse-Angle Proton Tomography
Ben T. Spiers (1), Ramy Aboushelbaya (1), Qingsong Feng (1), Marko W., Mayr (1), Iustin Ouatu (1), Robert W. Paddock (1), Robin Timmis (1), Robin H., W. Wang (1), Peter A. Norreys (1, 2, 3) ((1) Department of Physics,, University of Oxford, (2) Central Laser Facility

TL;DR
This paper introduces novel tomographic methods to reconstruct three-dimensional magnetic field structures from extremely limited proton radiography data, enhancing diagnostic capabilities in plasma physics and related fields.
Contribution
It proposes two new techniques that improve tomographic reconstruction performance with very sparse-angle data, applicable to proton and optical probing methods.
Findings
Successful 3D magnetic field reconstruction from sparse proton data
Methods applicable to optical probes like shadowgraphy and interferometry
Potential to revolutionize 3D imaging in physical sciences
Abstract
Proton radiography is a widely-fielded diagnostic used to measure magnetic structures in plasma. The deflection of protons with multi-MeV kinetic energy by the magnetic fields is used to infer their path-integrated field strength. Here, the use of tomographic methods is proposed for the first time to lift the degeneracy inherent in these path-integrated measurements, allowing full reconstruction of spatially resolved magnetic field structures in three dimensions. Two techniques are proposed which improve the performance of tomographic reconstruction algorithms in cases with severely limited numbers of available probe beams, as is the case in laser-plasma interaction experiments where the probes are created by short, high-power laser pulse irradiation of secondary foil targets. The methods are equally applicable to optical probes such as shadowgraphy and interferometry [M. Kasim et al.…
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