Electromagnetic Boundary Conditions for Space--time Interfaces
Fuente:
arXiv
Salvato in:
| Autori principali: | , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866911045382045696 |
|---|---|
| author | Gratus, Jonathan Horsley, Simon A. R. McCall, Martin W. |
| author_facet | Gratus, Jonathan Horsley, Simon A. R. McCall, Martin W. |
| contents | We give a general family of electromagnetic boundary conditions applicable to arbitrary space--time interfaces between electromagnetic media, which include the known space--only and time--only boundary conditions as special cases. These boundary conditions describe a broad class of electromagnetic interfaces, including surfaces in arbitrary motion, ultra-thin (metasurface) media, and cases where the media on one or both sides of the boundary can be both spatially and temporally dispersive. Our approach utilizes 4-dimensional spacetime and addresses the question of how, and in what ways, an electromagnetic field may be connected across a 3-dimensional hypersurface.
We show that our proposed boundary conditions are the most general conditions consistent with causality and linearity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_05889 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Electromagnetic Boundary Conditions for Space--time Interfaces Gratus, Jonathan Horsley, Simon A. R. McCall, Martin W. Optics Classical Physics We give a general family of electromagnetic boundary conditions applicable to arbitrary space--time interfaces between electromagnetic media, which include the known space--only and time--only boundary conditions as special cases. These boundary conditions describe a broad class of electromagnetic interfaces, including surfaces in arbitrary motion, ultra-thin (metasurface) media, and cases where the media on one or both sides of the boundary can be both spatially and temporally dispersive. Our approach utilizes 4-dimensional spacetime and addresses the question of how, and in what ways, an electromagnetic field may be connected across a 3-dimensional hypersurface. We show that our proposed boundary conditions are the most general conditions consistent with causality and linearity. |
| title | Electromagnetic Boundary Conditions for Space--time Interfaces |
| topic | Optics Classical Physics |
| url | https://arxiv.org/abs/2507.05889 |