Transmission properties of time-dependent one-dimensional metamaterials
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Acceso en línea: | |
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| _version_ | 1866917557883109376 |
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| author | Ammari, Habib Cao, Jinghao Hiltunen, Erik Orvehed Rueff, Liora |
| author_facet | Ammari, Habib Cao, Jinghao Hiltunen, Erik Orvehed Rueff, Liora |
| contents | We solve the wave equation with periodically time-modulated material parameters in a one-dimensional high-contrast resonator structure in the subwavelength regime exactly, for which we compute the subwavelength quasifrequencies numerically using Muller's method. We prove a formula in the form of an ODE using a capacitance matrix approximation. Comparison of the exact results with the approximations reveals that the method of capacitance matrix approximation is accurate and significantly more efficient. We prove various transmission properties in the aforementioned structure and illustrate them with numerical simulations. In particular, we investigate the effect of time-modulated material parameters on the formation of degenerate points, band gaps and k-gaps. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2301_09983 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Transmission properties of time-dependent one-dimensional metamaterials Ammari, Habib Cao, Jinghao Hiltunen, Erik Orvehed Rueff, Liora Analysis of PDEs Mathematical Physics Applied Physics Optics 35J05, 35C20, 35P20, 74J20 We solve the wave equation with periodically time-modulated material parameters in a one-dimensional high-contrast resonator structure in the subwavelength regime exactly, for which we compute the subwavelength quasifrequencies numerically using Muller's method. We prove a formula in the form of an ODE using a capacitance matrix approximation. Comparison of the exact results with the approximations reveals that the method of capacitance matrix approximation is accurate and significantly more efficient. We prove various transmission properties in the aforementioned structure and illustrate them with numerical simulations. In particular, we investigate the effect of time-modulated material parameters on the formation of degenerate points, band gaps and k-gaps. |
| title | Transmission properties of time-dependent one-dimensional metamaterials |
| topic | Analysis of PDEs Mathematical Physics Applied Physics Optics 35J05, 35C20, 35P20, 74J20 |
| url | https://arxiv.org/abs/2301.09983 |