Extrapolation of photospheric potential magnetic fields using oblique boundary values - A simplified approach

Details Extrapolation of photospheric potential magnetic fields using oblique boundary values - A simplified approach Extrapolation of photospheric potential magnetic fields using oblique boundary values - A simplified approach

Jan 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990a%26a...227..583c&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 227, no. 2, Jan. 1990, p. 583-590.

Astronomy and Astrophysics

Astrophysics

12

Boundary Value Problems, Photosphere, Solar Atmosphere, Solar Magnetic Field, Boundary Conditions, Line Of Sight, Magnetohydrodynamics, Mathematical Models

Scientific paper

The problem of extrapolating photospheric potential magnetic fields is addressed using the oblique line-of-sight component B1(rs) as a boundary condition and reducing it to that for the normal line-of-sight component Bz(rs). The observed B1(rs) component is used along with the direction cosines of the line-of-sight alpha, beta, and gamma to calculate semianalytically the photospheric components Bx(rs) and By(rs). All these values are used to find the normal photospheric component Bx(rs). Finally, using the distribution Bz(rs) as boundary values, the relatively simpler problem corresponding to the case in which the normal components are known is solved. The method is tested on the case of an analytical model configuration for which exact solutions in the half-space above the photosphere exist.

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