bfieldtools.sphtools.potential

bfieldtools.sphtools.potential(p, acoeffs, bcoeffs, lmax, normalization='default', R=1)

Computes magnetic scalar potential from the sph coefficients. Ignores the ‘DC’ component l=0.

Parameters
p: Nx3 array

coordinates in which the potential is computed

acoeffs: lmax*(lmax+2)x1 array

spectral coefficients of r**l terms

bcoeffs: lmax*(lmax+2)x1 array

spectral coefficients of r**(-l) terms

lmax: int

maximum degree l which is used in computing

normalization: string

which normalization scheme to use “default”: Integration over unit sphere <Y_lm,Y_l’m’> = delta_ll’mm’ (default) “energy”: each term in inner/outer basis function with respect to sphere with radius R is normalized to unit energy

R: float

Sphere radius that separates inner/outer components

Returns
pot1: Nx array

magnetic scalar potential at p