Nonlinear subwavelength resonances in three dimensions
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866910912326139904 |
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| author | Ammari, Habib Kosche, Thea |
| author_facet | Ammari, Habib Kosche, Thea |
| contents | In this paper, we consider the resonance problem for the cubic nonlinear Helmholtz equation in the subwavelength regime. We derive a discrete model for approximating the subwavelength resonances of finite systems of high-contrast resonators with Kerr-type nonlinearities. Our discrete formulation is valid in both weak and strong nonlinear regimes. Compared to the linear formulation, it characterizes the extra eigenmodes induced by the non-linearlity that have recently been experimentally observed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_21173 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Nonlinear subwavelength resonances in three dimensions Ammari, Habib Kosche, Thea Mathematical Physics 35P30, 35C20, 74J20 In this paper, we consider the resonance problem for the cubic nonlinear Helmholtz equation in the subwavelength regime. We derive a discrete model for approximating the subwavelength resonances of finite systems of high-contrast resonators with Kerr-type nonlinearities. Our discrete formulation is valid in both weak and strong nonlinear regimes. Compared to the linear formulation, it characterizes the extra eigenmodes induced by the non-linearlity that have recently been experimentally observed. |
| title | Nonlinear subwavelength resonances in three dimensions |
| topic | Mathematical Physics 35P30, 35C20, 74J20 |
| url | https://arxiv.org/abs/2410.21173 |