Estimate of the regularly gridded 3D vector flow field from a set of tomographic maps

¹ Astronomical Institute, Charles University in Prague, Faculty of Mathematics and Physics, V Holešovičkách 2, 18000 Prague 8, Czech Republic
e-mail: michal@astronomie.cz
² Astronomical Institute (v. v. i.), Czech Academy of Sciences, Fričova 298, 25165 Ondřejov, Czech Republic

Received: 4 November 2015
Accepted: 22 December 2016

Abstract

Time-distance inversions usually provide tomographic maps of the interesting plasma properties (we focus on flows) at various depths. These maps, however, do not correspond directly to the flow field, but rather to the true flow field smoothed by the averaging kernels. We introduce a method to derive a regularly gridded estimate of the true velocity field from a set of tomographic maps. We mainly aim to reconstruct the flow on a uniform grid in the vertical domain. We derive the algorithm, implement it and validate using synthetic data. The use of the synthetic data allows us to investigate the influence of random noise and to develop the methodology to deal with it properly.