Computing nonlinear force-free fields in spherical geometry

dc.creatorWiegelmann, Thomas
dc.date2006-12-05
dc.date.accessioned2026-07-07T11:42:41Z
dc.date.available2026-07-07T11:42:41Z
dc.descriptionWe describe a newly developed code for the extrapolation of nonlinear force-free coronal magnetic fields in spherical coordinates. The program uses measured vector magnetograms on the solar photosphere as input and solves the force-free equations in the solar corona. The method is based on an optimization principle and the heritage of the newly developed code is a corresponding method in Cartesian geometry. We test the newly developed code with the help of a semi-analytic solution and rate the quality of our reconstruction qualitatively by magnetic field line plots and quantitatively with a number of comparison metrics. We find that we can reconstruct the original test field with high accuracy. The method is fast if the computation is limited to low co-latitudes (say $30^\circ \leq θ\leq 150^\circ$), but becomes significantly slower if the polar regions are included.
dc.description16 pages, 3 figures, Solar Physics, accepted
dc.identifierhttps://arxiv.org/abs/astro-ph/0612124
dc.identifierhttp://arxiv.org/abs/astro-ph/0612124
dc.identifierSolarPhys.240:227-239,2007
dc.identifierdoi:10.1007/s11207-006-0266-3
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/200968
dc.subjectAstrophysics
dc.subjectComputational Physics
dc.titleComputing nonlinear force-free fields in spherical geometry
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