单频电磁波在界面上反射和折射的相位分析

Analysis of the initial phase in reflection and refraction of electromagnetic wave

首先分析了电磁波在均匀介质中的运动方程,然后分析了单频电磁波在两介质界面上的边值关系,最后对单频电磁波在界面上反射和折射定律的证明和相位问题进行了详细讨论。结果发现:折射波和入射波存在一个非物理的相位差。该相位差出现的原因在于坐标选取的任意性会引起物理概念和数学表述的不一致。最后,通过选定z=0界面消除了相位差。由此,深化了对该定律证明方法的理解。

In this article, the motion equation of electromagnetic wave in uniform medium is analyzed; And then the boundary value relations of single frequency electromagnetic waves over any medium interface are investigated ; At last, the proof and phase problems of the reflection and refraction law of single frequency electromagnetic wave in the interface are discussed in detail. The results show that there is an unphysical phase difference between the refraction wave and the incident wave. The reason is that the arbitrariness of coordinates can cause the inconsistency of physical concepts and mathematical statements. In the end, the phase difference is eliminated by selecting the z = 0 interface. This article deepens the understanding of the proving method for the reflection and refraction law.