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

• 教学讨论 • 上一篇    下一篇

静磁外部球谐多极矩展开

余天,林方,姚欣,齐建起,张志友,聂娅,王磊,朱建华   

  1. 四川大学 物理学院,四川 成都610065
  • 收稿日期:2021-06-03 修回日期:2021-08-18 出版日期:2022-04-20 发布日期:2022-04-20
  • 作者简介:余天(1984—),男,四川成都人,四川大学物理学院副教授,博士,主要从事磁学和自旋电子学实验研究工作.
  • 基金资助:
    四川大学(2017年)立项教材建设项目“电动力学”资助,2020年西南地区物理学术竞赛类教育教学改革研究项目资助

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

摘要: 本文讨论静磁球谐多极矩展开,包括静磁标势和静磁矢势的外部球谐多极矩展开.在磁矢势外部球谐多极矩分析中介绍了两种不同的方法,方法一基于磁标势外部球谐多极矩展开求惯用磁矢势外部球谐多极矩展开,方法二从电流对远源场点磁矢势场贡献出发借助德拜势直接求得静磁矢势外部球谐多极矩展开的惯用表示.

关键词: 静磁场, 多极矩展开, 磁矢势, 磁标势, 德拜势

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