Energy estimates for wave amplification in quasiperiodic Fibonacci time-modulated media
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909902109147136 |
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| author | Ruchiev, Ilya Davies, Bryn |
| author_facet | Ruchiev, Ilya Davies, Bryn |
| contents | Fibonacci time quasicrystals can be approximated by temporal supercells to reveal a fractal collection of $k$ gaps, in which wave energy is amplified exponentially. These estimates are validated by the observation of "super" $k$ gaps that are independent of the duration of the temporal supercell. This approach predicts the regions of parametric amplification and provides accurate estimates of the energy growth rate. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_11140 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Energy estimates for wave amplification in quasiperiodic Fibonacci time-modulated media Ruchiev, Ilya Davies, Bryn Optics Mathematical Physics Fibonacci time quasicrystals can be approximated by temporal supercells to reveal a fractal collection of $k$ gaps, in which wave energy is amplified exponentially. These estimates are validated by the observation of "super" $k$ gaps that are independent of the duration of the temporal supercell. This approach predicts the regions of parametric amplification and provides accurate estimates of the energy growth rate. |
| title | Energy estimates for wave amplification in quasiperiodic Fibonacci time-modulated media |
| topic | Optics Mathematical Physics |
| url | https://arxiv.org/abs/2511.11140 |