Abstract：Interface conditions are important parts of the electromagnetic theory. They supplement the differential equations of electromagnetic field. It is clear that they are correct. But the proof of them had defect until now. The existing proof was based on basic supposition. To prove the interface conditions for the tangential components, scholars constructed a small closed path in a plane normal to the interface. They assumed that the edges perpendicular to the interface approached to zero more quickly than the parallel ones. To prove the interface conditions for the normal components, scholars constructed a small cylindrical or hexahedral gaussian surface at the interface. They assumed that the height of side approached to zero more quickly. In this paper we proved the interface conditions without the supposition. Based on the Taylor series expansion, the interface conditions are proved on condition that each dimension approached to zero at same speed in the closed path and hexahedral gaussian surface. It reveals the intrinsic properties of the change of tangential and normal components at the interface between two different media.
王泽忠, 李世琼. 论电磁场媒质分界面衔接条件[J]. 电工技术学报, 2013, 28(2): 60-66.
Wang Zezhong, Li Shiqiong. Discussion of the Electromagnetic Interface Conditions. Transactions of China Electrotechnical Society, 2013, 28(2): 60-66.
2013, Vol. 28 
