bfieldtools.sphtools.basis_potentials

bfieldtools.sphtools.basis_potentials(p, lmax, normalization='default', R=1)

Computes inner/outer basis functions for magnetic scalar potential. Ignores the ‘DC’ component l=0.

Parameters
p: Nx3 array

coordinates in which the potential is computed

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: Nxlmax*(lmax+2) array

inner potential (alpha_lm) basis functions at p

pot2: Nxlmax*(lmax+2) array

outer potential (beta_lm) basis functions at p