The determination of coronal potential magnetic fields using line-of-sight boundary conditions

Physics

Scientific paper

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Boundary Conditions, Boundary Value Problems, Line Of Sight, Solar Corona, Solar Magnetic Field, Potential Fields, Stellar Models

Scientific paper

Previous efforts to construct solar coronal fields using surface magnetograph data have generally employed a least squares minimization technique in order to determine the spherical harmonic expansion coefficients of the magnetic scalar potential. Provided there is no source surface high up in the corona, the author shows that knowlege of the line-of-sight component of the surface magnetic field, Bl = Brsinθ+Bθcosθ, is sufficient to uniquely determine the potential coronal magnetic field by an explicit construction of the magnetic scalar potential for an arbitrary Bl(θ,φ).

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