界面上平面波的坡印亭定理：散射矩阵法
Poynting's theorem for planes waves at an interface: a scattering matrix approach
摘要：
本文将坡印亭定理应用于单色平面电磁波垂直入射到两种不同介质界面的散射问题。我们写这个能量守恒定理来引入散射矩阵S的自然定义。对于介电-介电界面，平衡方程使我们得到能流守恒，它表达了S的一个性质：它是酉矩阵。对于介质-导体界面，由于导体处存在损耗，散射矩阵不再是单一的。然而，坡印廷定理中出现的耗散项可以被解释为导体处的单个吸收模式，使得可以定义满足通量守恒并包含该吸收模式的整个S。这是当前文献中介绍的模型的最简单版本，用于描述更复杂系统中的损耗。
英文摘要：
We apply the Poynting theorem to the scattering of monochromatic electromagnetic planes waves with normal incidence to the interface of two different media. We write this energy conservation theorem to introduce a natural definition of the scattering matrix S. For the dielectric-dielectric interface the balance equation lead us to the energy flux conservation which express one of the properties of S: it is a unitary matrix. For the dielectric-conductor interface the scattering matrix is no longer unitary due to the presence of losses at the conductor. However, the dissipative term appearing in the Poynting theorem can be interpreted as a single absorbing mode at the conductor such that a whole S, satisfying flux conservation and containing this absorbing mode, can be defined. This is a simplest version of a model introduced in the current literature to describe losses in more complex systems.
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