Axial multipole moments are a series expansion of the electric potential of a charge distribution localized close to the origin along one Cartesian axis, denoted here as the z-axis. However, the axial multipole expansion can also be applied to any potential or field that varies inversely with the distance to the source, i.e., as . For clarity, we first illustrate the expansion for a single point charge, then generalize to an arbitrary charge density λ(z) localized to the z-axis.

Figure 1: Point charge on the z axis; Definitions for axial multipole expansion

Contents

• 1 Axial multipole moments of a point charge
• 2 General axial multipole moments
• 3 Interior axial multipole moments
• 4 See also
• 5 References
• 6 External links

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