Energy estimates for wave amplification in quasiperiodic Fibonacci time-modulated media
Abstract
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.
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