Surface plasmons in metamaterial cavities: Scattering by obstacles with negative wave speed
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866916764298772480 |
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| author | Fang, Yan-Long Galkowski, Jeffrey |
| author_facet | Fang, Yan-Long Galkowski, Jeffrey |
| contents | We study scattering by metamaterials with negative indices of refraction, which are known to support \emph{surface plasmons} -- long-lived states that are highly localized at the boundary of the cavity. This type of states has found uses in a variety of modern technologies. In this article, we study surface plasmons in the setting of non-trapping cavities; i.e. when all billiard trajectories outside the cavity escape to infinity. We characterize the indices of refraction which support surface plasmons, show that the corresponding resonances lie super-polynomially close to the real axis, describe the localization properties of the corresponding resonant states, and give an asymptotic formula for their number. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_22253 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Surface plasmons in metamaterial cavities: Scattering by obstacles with negative wave speed Fang, Yan-Long Galkowski, Jeffrey Spectral Theory Mathematical Physics Analysis of PDEs Optics We study scattering by metamaterials with negative indices of refraction, which are known to support \emph{surface plasmons} -- long-lived states that are highly localized at the boundary of the cavity. This type of states has found uses in a variety of modern technologies. In this article, we study surface plasmons in the setting of non-trapping cavities; i.e. when all billiard trajectories outside the cavity escape to infinity. We characterize the indices of refraction which support surface plasmons, show that the corresponding resonances lie super-polynomially close to the real axis, describe the localization properties of the corresponding resonant states, and give an asymptotic formula for their number. |
| title | Surface plasmons in metamaterial cavities: Scattering by obstacles with negative wave speed |
| topic | Spectral Theory Mathematical Physics Analysis of PDEs Optics |
| url | https://arxiv.org/abs/2505.22253 |