KnowraMultipole expansionLinked fromLinked fromThe 13 pages that link to Multipole expansion, each with the reason it gives.All 13Broader topic 1Related 8Narrower topic 4Gravitational potentialRelated: It approximates distant gravitational potentials when a source is not perfectly spherical.Mie scatteringBroader topic: Mie scattering decomposes the sphere’s response into electric and magnetic multipoles.Magnetic dipoleNarrower topic: The dipole is the leading nonzero term for many localized magnetic sources.Electric dipoleNarrower topic: It places the dipole among the successive terms used to describe charge distributions.Point chargeRelated: It treats localized charge distributions through point-like contributions at long range.Legendre polynomialsRelated: Legendre polynomials express the angular dependence of axisymmetric potentials.Wigner–Eckart theoremRelated: Each multipole rank corresponds to a spherical tensor operator in transition calculations.Larmor formulaRelated: It generalizes point-charge radiation to extended sources with multiple changing moments.Dipole approximationNarrower topic: The dipole approximation keeps a leading term from this broader expansion and discards later terms.Faxén's lawRelated: Faxén corrections encode finite-size effects in a point-particle description.Legendre equationRelated: Legendre polynomials encode the angular dependence of axisymmetric multipole terms.Methods in electromagnetismRelated: It approximates distant fields using compact information about their sources.Multipole matrix elementsNarrower topic: It organizes interactions by multipole rank, identifying the operators whose matrix elements are needed.