平面多层介质中时谐辐射场的Green函数

The green functions of the time-harmonic radiation field in the Multi-layered Dielectric

利用物理方法求解了平面分区介质中时谐辐射场的Green函数,以三层介质结构为例,给出系统的等效反射率和折射率。结果表明,当源点与场点在边层介质中时,其Green函数具有行波形式,复合介质层的作用可用系统等效参数描述;而内域介质层中的Green函数,则因介质界面对波的折射和多次反射,使之满足边界条件,因而还附有驻波形式的通解。

The Green Functions of the time-harmonic radiate field in divisional uniform dielectric are solved by the physics method, and taking the three-layered media for example, equivalence reflectivity and refractive index of the system are given. The results show that, when the source and field points are all in the layer that is nearest to the edge, the Green Functions take traveling waves and the action of the multi-layer dielectric can be described by equivalent parameters, whereas, when the points are inside interior layer, because the reflection and refraction of the wave take place at the interface and the boundary conditions must be satisfied, the Green Functions have the standing wave forms.