Generalized Snell's law and Maxwell equations
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866909693686841344 |
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| author | Gutiérrez, Cristian E. Sabra, Ahmad |
| author_facet | Gutiérrez, Cristian E. Sabra, Ahmad |
| contents | This paper examines the Maxwell system of electrodynamics within the framework of distributions. A primary objective is to establish boundary conditions for fields at interfaces when the charge and current densities are measures localized on the interface. From this analysis, the paper presents a derivation of the generalized Snell's law, along with formulas for the amplitudes of the reflected and transmitted waves in terms of the incident amplitude. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_01081 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Generalized Snell's law and Maxwell equations Gutiérrez, Cristian E. Sabra, Ahmad Analysis of PDEs Materials Science Mathematical Physics Optics 78A40, 35Q61, 35D30 This paper examines the Maxwell system of electrodynamics within the framework of distributions. A primary objective is to establish boundary conditions for fields at interfaces when the charge and current densities are measures localized on the interface. From this analysis, the paper presents a derivation of the generalized Snell's law, along with formulas for the amplitudes of the reflected and transmitted waves in terms of the incident amplitude. |
| title | Generalized Snell's law and Maxwell equations |
| topic | Analysis of PDEs Materials Science Mathematical Physics Optics 78A40, 35Q61, 35D30 |
| url | https://arxiv.org/abs/2305.01081 |