Acoustic wave transmission in time-varying phononic crystals
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Bibliographic record
Abstract
Phononic crystal effects are typically narrowband and highly dependent on the size and spacing of the scatterers within the crystal—properties that are fixed and unchangeable. We propose that it may be possible to dynamically alter the behaviour of phononic crystals by varying the material properties in time. In this paper we seek to extend the existing static phononic crystal theory so as to handle time-varying material parameters and also to provide insight into the factors that govern their behaviour. Beginning with the transmission matrix method, we develop a new method to determine the acoustic wave transmission through a time-varying corrugated tube waveguide, which is analogous to a one-dimensional (1D) phononic crystal. These expressions are further developed for periodic material parameter variation signals. Our method permits the development of a closed-form solution to the acoustic wave transmission through a 1D time-varying phononic crystal. It shows excellent agreement with finite-difference time-domain simulations and with execution times several orders of magnitude faster. Preliminary results show that the band-gap properties can be significantly altered using material parameter time variation as the driving mechanism.
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Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.001 | 0.000 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it