材料磁性对电磁理论中菲涅尔公式的影响

The Effect of Material Magnetic Properties on Fresnel Formula in Electromagnetic Theory

本文考虑材料的磁性,利用电磁场的边值关系研究磁导率对菲涅尔公式的修正。文中利用所定义的介质界面矢量将电磁场量正交分解,统一处理垂直和平行于入射面的场分量关系,提供推导菲涅尔公式的另外方法,并对结果进行深入讨论。结果表明,材料磁性对菲涅尔公式的修正可以由两种材料的相对磁导率之比描述。

Considering the magnetic properties of material, the modification to the Fresnel formula by the permeability of material are investigated using the boundary relation of electromagnetic field in this paper. The electromagnetic fields are decomposed orthogonal according to the vector defined on medium interface, the field component relationships for the vertical and parallel to incident surface are processed. Another method of derivation for Fresnel formula is provided, and the results are discussed deeply. The results showed that the effect of material magnetic properties on Fresnel formula can be described by the relative permeability of two kinds of materials.