经典电动力学中的惠更斯原理：分布方法
Huygens' principle in classical electrodynamics: a distributional approach
摘要：
我们推导出电动力学的惠更斯原理，其中4-矢量势定义为围绕电荷电流密度的表面上的分布。将Pauli代数与分布理论相结合，得到了Stratton-Chu方程和Kottler-Franz方程的一个简洁的概念性推导.这些被扩展到自由移动的集成表面，因此，由于在任意运动的电荷分布的字段表示。进一步的概括是获得多个表面，它可以用来封闭集群的发射机，散射器和接收器。
英文摘要：
We derive Huygens' principle for electrodynamics in terms of 4-vector potentials defined as distributions supported on a surface surrounding the charge-current density. By combining the Pauli algebra with distribution theory, a compact and conceptually simple derivation of the Stratton-Chu and Kottler-Franz equations is obtained. These are extended to freely moving integration surfaces, so that the fields due to charge distributions in arbitrary motion are represented. A further generalization is obtained to multiple surfaces, which can be used to enclose clusters of transmitters, scatterers and receivers.
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