Determination of force-free magnetic fields above the photosphere using three-component boundary conditions - Moderately non-linear case

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Force-Free Magnetic Fields, Magnetic Field Configurations, Photosphere, Solar Magnetic Field, Magnetohydrodynamics, Solar Atmosphere, Stellar Models

Scientific paper

The calculation of the magnetic field components and the tracing of the magnetic field lines above the photosphere are considered within the framework of the nonlinear force-free field model, upon using three-component magnetic fields as boundary conditions. This vertical integration represents an extrapolation in the small and is free of any implicit or explicit assumption in the large. As a study case, an analytical model providing magnetic field components at a surface (representing the photosphere) and above it is used. Magnetic field components and magnetic field lines at z greater than 0 are obtained. Their comparison with the analytical ones provides a measure of the calculational accuracy. The method is demonstrated for the case of moderately nonlinear force-free forces.

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