电场问题中边界的等效电荷层处理

The Equivalent Charge Layer Method for Electrostatic Boundary Problems

一般介质分界面上会有电荷和偶极层分布。提出静电场边值问题中区域边界的等效电荷层处理方法。认为区域界面两侧的场(可以是不连续的)各有等效的电荷和偶极层,其代数和满足电荷守恒定律。作为应用,就格林等效层定理的含义进行了讨论。其意义是场与全空间电荷分布间的关系。

Generally, there are charges and dipole layers on the interface of dielectrics. This paper presents an equivalent charge layer method for the boundary value problem of electrostatic field. It is considered that the fields on both sides of the interface(which may be discontinuous) have equivalent charges and dipole layers, and their algebras satisfy the law of charge conservation. As an application,the meaning of Green’s Equivalent Layer Theorem is discussed. Its significance is the relationship between the field and the charge distribution in the whole space.