A Simple Method to Compute Spherical Harmonic Coefficients for the Potential Model of the Coronal Magnetic Field

Details A Simple Method to Compute Spherical Harmonic Coefficients for the Potential Model of the Coronal Magnetic Field A Simple Method to Compute Spherical Harmonic Coefficients for the Potential Model of the Coronal Magnetic Field

Jun 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995soph..159...89h&link_type=abstract

Solar Physics, Volume 159, Issue 1, pp.89-96

Physics

7

Scientific paper

It is impossible to make a direct measurement of the coronal magnetic field from the ground. The coronal magnetic field is, then, usually inferred by extrapolation of the observed photospheric magnetic field. The so-called ‘potential model’ has been used for this extrapolation. We have to solve the Laplacian equation of the magnetic scalar potential. This magnetic scalar potential can be expanded into a spherical harmonic series. In this paper, new simple recursion formulae are proposed to solve the Laplacian equation; that is, to determine the spherical harmonic coefficients.

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