Direct solution of Laplace's equation for coronal magnetic fields using line-of-sight boundary conditions

Details Direct solution of Laplace's equation for coronal magnetic fields using line-of-sight boundary conditions Direct solution of Laplace's equation for coronal magnetic fields using line-of-sight boundary conditions

Aug 1979

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979soph...63..127r&link_type=abstract

Solar Physics, vol. 63, Aug. 1979, p. 127-133. Research supported by the Bundesministerium für Forschung und Technologie.

Physics

13

Boundary Conditions, Boundary Value Problems, Laplace Equation, Solar Corona, Solar Magnetic Field, Spherical Harmonics, Neumann Problem, Photosphere, Recursive Functions

Scientific paper

A new fast mathematical method is described for computing potential magnetic field solutions in the solar atmosphere from the observed line-of-sight component of the photospheric magnetic field. As in a standard Neumann boundary problem the orthogonality relation of the spherical harmonics is used to determine the coefficients of the harmonic expansion. This leads to a very simple set of recursion formulae that determines the harmonic coefficients successively.

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