Scattering from time-modulated subwavelength resonators
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2024
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866910287070756864 |
|---|---|
| author | Ammari, Habib Cao, Jinghao Hiltunen, Erik Orvehed Rueff, Liora |
| author_facet | Ammari, Habib Cao, Jinghao Hiltunen, Erik Orvehed Rueff, Liora |
| contents | We consider wave scattering from a system of highly contrasting resonators with time-modulated material parameters. In this setting, the wave equation reduces to a system of coupled Helmholtz equations that models the scattering problem. We consider the one-dimensional setting. In order to understand the energy of the system, we prove a novel higher-order discrete, capacitance matrix approximation of the subwavelength resonant quasifrequencies. Further, we perform numerical experiments to support and illustrate our analytical results and show how periodically time-dependent material parameters affect the scattered wave field. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_01914 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Scattering from time-modulated subwavelength resonators Ammari, Habib Cao, Jinghao Hiltunen, Erik Orvehed Rueff, Liora Mathematical Physics Numerical Analysis Analysis of PDEs Optics 35J05, 35C20, 35P20, 74J20 We consider wave scattering from a system of highly contrasting resonators with time-modulated material parameters. In this setting, the wave equation reduces to a system of coupled Helmholtz equations that models the scattering problem. We consider the one-dimensional setting. In order to understand the energy of the system, we prove a novel higher-order discrete, capacitance matrix approximation of the subwavelength resonant quasifrequencies. Further, we perform numerical experiments to support and illustrate our analytical results and show how periodically time-dependent material parameters affect the scattered wave field. |
| title | Scattering from time-modulated subwavelength resonators |
| topic | Mathematical Physics Numerical Analysis Analysis of PDEs Optics 35J05, 35C20, 35P20, 74J20 |
| url | https://arxiv.org/abs/2401.01914 |