Multipole expansion of electrostatic and magnetostatic fields

G. F

Abstract


The multipole moments of an electrostatic or magnetostatic field and the components of the field itself are expressed in terms of two-component spinor and of spin-weighted spherical harmonics, obtaining the correspondence between the Cartesian and spherical components. It is shown that the $2^{l}$-pole moment of a charge or current distribution defines $l$, not necessarily distinct, directions which determine the angular dependence of the multipole field.

Keywords


Multipole expansion; electrostatic field; magnetostatic field; two-component spinors; spherical harmonics

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Revista Mexicana de Física

ISSN: 2683-2224 (on line), 0035-001X (print)

Bimonthly publication of Sociedad Mexicana de Física, A.C.
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