电磁学中空间与时间边界之间的基本不对称性
Fundamental asymmetries between spatial and temporal boundaries in electromagnetics
AI总结：
本文从守恒定律视角深入研究了电磁学中空间与时间边界的底层物理差异，在时间语境下类比推导了反射定律、Snell定律和Fresnel方程，并揭示了时间边界不遵循能量守恒与因果性等独特特征。
摘要：
与传统的时不变材料相比，时变材料带来了额外的设计自由度。然而，鲜有讨论关注空间与时间边界之间的底层物理差异。在这封信中，我们从守恒定律的角度深入研究了这些差异。通过这样做，光学和电磁学的基本构件，如反射定律、Snell定律和Fresnel方程，可以在时间语境下类比推导出来，但具有完全不同的解释。此外，我们研究了时间边界的独特特征，如它们对能量守恒和因果性的不遵循。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
