1D Scattering through time dependent media with memory
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Acceso en línea: | |
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| _version_ | 1866908848787292160 |
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| author | Galkowski, Jeffrey Huang, Zhen Zworski, Maciej |
| author_facet | Galkowski, Jeffrey Huang, Zhen Zworski, Maciej |
| contents | We construct a scattering matrix with operator valued entries describing solutions to the 1+1 wave equation where permittivities has memory and depends on time and space. It is the analogue of the scattering matrix for spatially localised perturbations where the entries are functions of frequency and appear as Fourier multipliers in solutions of the wave equation. This provides a mathematical explanation of the numerical construction in the recent paper by Horsley et al. The appendix by Zhen Huang and Maciej Zworski presents a numerical scheme for solving the wave equation considered in this article. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_19981 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | 1D Scattering through time dependent media with memory Galkowski, Jeffrey Huang, Zhen Zworski, Maciej Analysis of PDEs Mathematical Physics Optics We construct a scattering matrix with operator valued entries describing solutions to the 1+1 wave equation where permittivities has memory and depends on time and space. It is the analogue of the scattering matrix for spatially localised perturbations where the entries are functions of frequency and appear as Fourier multipliers in solutions of the wave equation. This provides a mathematical explanation of the numerical construction in the recent paper by Horsley et al. The appendix by Zhen Huang and Maciej Zworski presents a numerical scheme for solving the wave equation considered in this article. |
| title | 1D Scattering through time dependent media with memory |
| topic | Analysis of PDEs Mathematical Physics Optics |
| url | https://arxiv.org/abs/2602.19981 |