Solar force-free magnetic fields on and above the photosphere

Details Solar force-free magnetic fields on and above the photosphere Solar force-free magnetic fields on and above the photosphere

Sep 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989soph..119..279c&link_type=abstract

Solar Physics (ISSN 0038-0938), vol. 119, no. 2, 1989, p. 279-299.

Mathematics

2

Boundary Value Problems, Force-Free Magnetic Fields, Magnetic Field Configurations, Photosphere, Solar Magnetic Field, Singularity (Mathematics), Solar Physics, Sunspots

Scientific paper

If the problem of the configuration of the magnetic field in the solar atmosphere is solved using some previously published methods, the force-free magnetic field with alpha = constant in the entire spatial domain outside the sun cannot have a finite energy content and cannot be determined uniquely from only one magnetic field component given at the photosphere. In this paper, a model for a semiinfinite space is presented which approaches the real physical picture more closely. Based only on the longitudinal field observed at the photosphere, a unique analytical solution for the configuration of the magnetic field is obtained and verified for uniqueness and for the finiteness of the magnetic energy content in a half-space. It is demonstrated that no singular point exists in the solution.

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