大学物理 ›› 2026, Vol. 45 ›› Issue (4): 44-.doi: 10.16854/j.cnki.1000-0712.250345

• 教学讨论 • 上一篇    下一篇

电磁学规律的全息性

宋立涛,何杰,王杰芳   

  1. 1. 郑州大学 物理学院、中原之光实验室,河南 郑州450001;2. 河南工业大学 物理学院,河南 郑州450001 
  • 收稿日期:2025-07-04 修回日期:2025-07-31 出版日期:2026-07-06 发布日期:2026-07-11
  • 作者简介:宋立涛(1978—),男,河北保定人,郑州大学物理学院讲师,博士,主要从事电磁学和大学物理教学工作.
  • 基金资助:
    郑州大学数智化一流课程(2024ZZUYLKC017),郑州大学教改项目(2024ZZUJGXM053),河南工业大学智慧课程(2024zhkc-65)资助

The holographic property of electromagnetic laws

SONG Litao1, HE Jie2, WANG Jiefang1#br#   

  1. 1. School of Physics and Laboratory of Zhongyuan Light, Zhengzhou university, Zhengzhou, Henan 450001, China; 
    2. School of Physics, Henan University of Technology, Zhengzhou, Henan 450001, China
  • Received:2025-07-04 Revised:2025-07-31 Online:2026-07-06 Published:2026-07-11

摘要: 本文首先类比全息原理引入了全息性的概念,然后从矢量场论中的斯托克斯定理和高斯定理出发对电磁学规律的全息性进行了讨论,最后结合电磁学规律的全息性对静电场、静磁场边值问题的唯一性定理以及电磁波场的边值定解问题的物理本质进行了分析.结果表明静电场和静磁场边值问题的唯一性定理以及电磁波场边值定解问题都可以认为是电磁学规律的全息性在实际问题中的具体体现,从而可以帮助学生更好地理解这些定理以及惠更斯-菲涅尔原理的物理本质.

关键词: 电磁学, 全息原理, 全息性, 唯一性定理

Abstract: This paper first introduces the concept of holographic property by analogy with the holographic principle. Then, starting from Stokes’ theorem and Gauss’ theorem in vector field theory, the holographic characteristics of electromagnetic laws is discussed. Finally, combined with the holographic property of electromagnetic laws, the physical essence of the uniqueness theorem of the boundary value problems of electrostatic fields and magnetostatic fields, as well as the boundary value definite solution problem electromagnetic wave fields, is analyzed. The results demonstrate that the uniqueness theorems of the electrostatic fields and magnetostatic fields, along with the boundary value definite solution problem electromagnetic wave fields, can all be regarded as concrete manifestations of the holographic property of electromagnetic laws in practical applications. This approach thereby helps students better understand the physical essence of these theorems and the HuygensFresnel principle.

Key words: electromagnetism, holographic principle, holographic property, uniqueness theorem