Magnetic field in active regions and its zero points

Details Magnetic field in active regions and its zero points Magnetic field in active regions and its zero points

Dec 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977azh....54.1293m&link_type=abstract

Astronomicheskii Zhurnal, vol. 54, Nov.-Dec. 1977, p. 1293-1304. In Russian.

Mathematics

Logic

8

Chromosphere, Solar Activity, Solar Corona, Solar Magnetic Field, Magnetic Field Configurations, Photosphere, Potential Fields, Topology

Scientific paper

The possibility of using a potential approximation to describe the magnetic fields in the chromosphere and corona is considered, and it is found that a scalar potential may be employed to study the general geometric properties of the fields. Based on the conclusions of the general theory of differential equations, it is shown that the number of magnetic-field zero points above the photospheric plane is determined by the number of potential maxima and minima at the photosphere and that the general topological structure of the magnetic field determines the zero-point distribution. Neumann's problem is solved analytically for active-region fields. As a specific example, a numerical solution of the second boundary-value problem is obtained for active region McMath 11693. The magnetic-field structure in this region is mapped, and the magnetic-field zero points are located.

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