K. Hakamada, A SIMPLE METHOD TO COMPUTE SPHERICAL HARMONIC COEFFICIENTS FOR THE POTENTIAL MODEL OF THE CORONAL MAGNETIC-FIELD, Solar physics, 159(1), 1995, pp. 89-96
It is impossible to make a direct measurement of the coronal magnetic
field from the ground. The coronal magnetic field is, then, usually in
ferred by extrapolation of the observed photospheric magnetic field. T
he so-called 'potential model' has been used for this extrapolation. W
e have to solve the Laplacian equation of the magnetic scalar potentia
l. This magnetic scalar potential can be expanded into a spherical har
monic series. In this paper, new simple recursion formulae are propose
d to solve the Laplacian equation; that is, to determine the spherical
harmonic coefficients.