Physics
Scientific paper
Mar 1989
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989soph..120...19a&link_type=abstract
Solar Physics (ISSN 0038-0938), vol. 120, no. 1, 1989, p. 19-48.
Physics
110
Force-Free Magnetic Fields, Solar Corona, Solar Magnetic Field, Current Density, Iterative Solution, Magnetic Flux, Photosphere, Reconstruction
Scientific paper
Using a simple model in which the corona is represented by the half-space domain Ω = {z > O} and the photosphere by the boundary plane ∂ΩQ = {z = O}, we discuss some important aspects of the general problem of the reconstruction of the magnetic field B in a small isolated coronal region from the values of the vector B∣∂Ω measured by a magnetograph over its whole basis. Assuming B to be force-free in ω: (i) we derive a series of relations which must be necessarily satisfied by the boundary field B∣∂Ω, and then by the magnetograph data if the force-free assumption is actually correct; (ii) we show how to extract directly from the measured B∣∂Ω some useful information about the energy of B in Ω and the topological structure of its field lines; (iii) we present a critical discussion of the two methods which have been proposed so far for computing effectively B in Ω from B∣∂Ω.
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