磁偶极子远场的严格数学处理  

Rigorous mathematical treatment on the far-field magnetic dipole

作　　者：刘莹[1] 刘国松[1] 

机构地区：[1]长春工程学院理学院,长春130012

出　　处：《长春工程学院学报（自然科学版）》2014年第2期125-128,共4页Journal of Changchun Institute of Technology：Natural Sciences Edition

摘　　要：磁偶极子是稳恒磁场研究的最基本模型,原因在于介质宏观磁场都可以等效于无穷多磁偶极子远场的叠加,因而磁偶极子远场的研究具有重要意义。磁偶极子远场计算一般采用基于矢量函数的泰勒级数展开,利用磁偶极子的对称性,选取特殊坐标位置下的代表场点,计算磁偶极子远场的特殊表达,而后推广到一般点。总结梳理了磁偶极子远场教学处理过程,并且从教学实践出发,提出一种严格的推理方法,该方法过程严谨且具有坐标系无关性,使相关内容的教学过程更为科学、严密。Magnetic dipole is the basic model for the study of static magnetic field. The reason is that a macroscopic magnetic media can be equivalent to infinite number of far-field magnetic dipole superposition. Therefore,it has an important significance to study the far-field magnetic dipole. Magnetic dipole far-field calculation is generally based on the Taylor series expansion of vector function. By using of magnetic dipole symmetry, the representative field point is selected under the special coordinate position, the special forms of expression of magnetic dipole far-field is calculated, then the result can be extended to general. This paper summarizes the teaching process of the magnetic dipole far-field, and proposes a rigorous deduction method from teaching experience. The procession is rigorous and coordinate-independent. Also it makes relevant teaching content process more scientific and rigorous.

关 键 词：磁矢势 磁偶极子 教学研究 

分 类 号：O441.4[理学—电磁学]