• Corpus ID: 238744040

Revisiting the Maxwell multipoles for vectorized angular functions

  title={Revisiting the Maxwell multipoles for vectorized angular functions},
  author={Matthew Houtput and Jacques Tempere},
Across many areas of physics, multipole expansions are used to simplify problems, solve differential equations, calculate integrals, and process experimental data. Spherical harmonics are the commonly used basis functions for a multipole expansion. However, they are not the preferred basis when the expression to be expanded is written as an explicit function of the unit vector on the sphere. Here, we revisit a different set of basis functions that are well-suited for multipole expansions of… 

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