A multipole expansion is a mathematical series representing a function that depends on angles—usually the two angles used in the spherical coordinate...

In physics, spherical multipole moments are the coefficients in a series expansion of a potential that varies inversely with the distance R to a source...

gamma radiation resulting from nuclear decay. Multipole radiation is analyzed using similar multipole expansion techniques that describe fields from static...

problem. It does this by expanding the system Green's function using a multipole expansion, which allows one to group sources that lie close together and treat...

mass that can exist in ideal form, but it is usually just part of a multipole expansion of a more complex structure reflecting various orders of complexity...

recursively. The generating function approach is directly connected to the multipole expansion in electrostatics, as explained below, and is how the polynomials...

If the potential varies weakly over the charge distribution, the multipole expansion converges fast, so only a few first terms give an accurate approximation...

the corresponding magnetic multipole fields, and aE(l, m) and aM(l, m) are the coefficients of the expansion. The multipole fields are given by B l , m...

Theoretically, an electric dipole is defined by the first-order term of the multipole expansion; it consists of two equal and opposite charges that are infinitesimally...

more complete treatment may be found in pages describing multipole expansion or spherical multipole moments. (The convention in the above equations was taken...