The absolute value and sign of the function alpha(r) in the force-free magnetic field modelling of photospheric observations

Details The absolute value and sign of the function alpha(r) in the force-free magnetic field modelling of photospheric observations The absolute value and sign of the function alpha(r) in the force-free magnetic field modelling of photospheric observations

Jan 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990a%26a...227..227c&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 227, no. 1, Jan. 1990, p. 227-234.

Astronomy and Astrophysics

Astrophysics

9

Force-Free Magnetic Fields, Photosphere, Solar Atmosphere, Solar Magnetic Field, Cartesian Coordinates, Lorentz Force, Sun (The): Atmosphere Of, Sun (The): Magnetic Fields

Scientific paper

A relatively simple method for the determination of the quantity α = J/B characterizing the force-free magnetic fields based on photospheric vector magnetic fields is presented. Magnetic configurations for which the sign of α does not change are considered.
The method consists of two steps, namely: (a) Expression of force-free field equations in terms of the observed quantities Bz, B2x, B2y and BxBy and determination of |α|; (b) Selection of the proper sign of α (corresponding to the magnetic configuration under consideration) by (i) solving the FFF equations under the assumptions α = - |α| and α = +|α|, (ii) using the two types of solutions to calculate the surface energy integral ES(z) = ∫ (B2x + B2y + B2x)ds, and (iii) retaining the sign that leads to a decrease with height (z) of Es(z).
The proposed method is tested by considering three different FFF magnetic configurations for which analytical solutions exist.

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