College Physics ›› 2022, Vol. 41 ›› Issue (4): 17-.doi: 10.16854/j.cnki.1000-0712.210266

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The exterior magnetic spherical multipole expansion

YU Tian, LIN Fang, YAO Xin, QI Jian-qi, ZHANG Zhi-you, NIE Ya, WANG Lei, ZHU Jian-hua   

  1. College of Physics, Sichuan University, Chengdu, Sichuan 610065, China
  • Received:2021-06-03 Revised:2021-08-18 Online:2022-04-20 Published:2022-04-20

Abstract: In this paper, the exterior magnetic spherical multipole expansion is discussed, including the expansion of magnetic scalar potential and the expansion of magnetic vector potential. Two different approaches are explored to derive the exterior magnetic spherical multipole expansion of magnetic vector potential. One is based on the exterior magnetic spherical multipole expansion of magnetic scalar potential, the other one starts from the expression of the magnetic vector potential and takes advantage of its Debye potential representation to directly obtain the expression. 

Key words: static magnetic field, multipole expansion, magnetic vector potential, magnetic scalar potential, Debye potential