大学物理 ›› 2022, Vol. 41 ›› Issue (10): 18-.

• 教学讨论 • 上一篇    下一篇

磁偶极子源电磁场代数解与积分解的数值计算

洪德成,王海军   

  1. 吉林大学 物理学院,吉林  长春130012
  • 收稿日期:2021-12-14 修回日期:2022-04-01 出版日期:2022-10-22 发布日期:2022-10-26
  • 作者简介:洪德成(1979—),男,吉林省梅河口人,吉林大学物理学院教授,从事计算电磁学在地球物理勘探中的应用研究工作.
  • 基金资助:
    吉林大学本科教学改革研究项目(2019XYB093)资助

Numerical calculation of magnetic dipole electromagnetic field with its algebraic form and integral expression

HONG De-cheng,WANG Hai-jun   

  1. College of Physics, Jilin University, Changchun, Jilin 130012, China

  • Received:2021-12-14 Revised:2022-04-01 Online:2022-10-22 Published:2022-10-26

摘要: 近年来计算物理在大学物理教育中愈加受到关注.本文由麦克斯韦方程出发,通过引入赫兹势,推导出磁偶极子源在均匀介质中激发的电磁场的代数表达式及其相应的积分表达式.采用三次样条拟合与高斯-勒让德数值积分方法联合求解其积分解,并与其代数解进行数值验证,为学生提供一个既有物理背景又有数值计算方法的电动力学计算案例.

关键词: 磁偶极子, 电磁场, 数值积分

Abstract: In recent years, computational physics has attracted more and more attention in college physics education. In this paper, we derive the algebraic form and the integral expression of electromagnetic field excited by magnetic dipole source in uniform medium. The solution is solved by introducing Hertz potential based on Maxwell equations. Cubic spline fitting method and Gauss-Legendre numerical integration method are used to solve this numerical integral problem, and its numerical results are verified with the algebraic form. It also provides students an electrodynamics calculation case including both physical background and numerical calculation method.

Key words: magnetic dipole, electromagnetic field, numerical integration