论文标题
电磁学的空间和时间边界之间的基本不对称
Fundamental asymmetries between spatial and temporal boundaries in electromagnetics
论文作者
论文摘要
与传统的时间流相比，时变材料具有额外的设计自由度。但是，很少有讨论集中在空间和时间边界之间的潜在物理差异上。在这封信中，我们从保护法的角度彻底调查了这些差异。通过这样做，可以在时间上下文中类似地得出光学和电磁学的基础，例如反射定律，Snell的定律和菲涅尔方程，但具有完全不同的解释。此外，我们研究时间边界的独特特征，例如它们对节能和因果关系的不合格。
Time-varying materials bring an extra degree of design freedom compared to their conventional time-invariant counterparts. However, few discussions have focused on the underlying physical difference between spatial and temporal boundaries. In this letter, we thoroughly investigate those differences from the perspective of conservation laws. By doing so, the building blocks of optics and electromagnetics such as the reflection law, Snell's law, and Fresnel's equations can be analogously derived in a temporal context, but with completely different interpretations. Furthermore, we study the unique features of temporal boundaries, such as their nonconformance to energy conservation and causality.
