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Acoustic metasurfaces with Frieze symmetriesa)
D B Moore1, T A Starkey1, G J Chaplain1
1Centre for Metamaterial Research and Innovation, Department of Physics and Astronomy, University of Exeter, Exeter EX4 4QL, United Kingdom.
The Journal of the Acoustical Society of America
|January 23, 2024
Summary
This study designs acoustic metasurfaces based on Frieze groups, using symmetry breaking to control sound wave properties. The research demonstrates a novel approach to tailoring acoustic dispersion through engineered symmetries.
Area of Science:
- Acoustics
- Materials Science
- Solid State Physics
Background:
- Frieze patterns describe tiling rules (reflection, rotation, translation) for infinite strips.
- Metamaterials leverage underlying symmetries and their strategic breaking to tailor wave dispersion.
- Understanding these symmetries is key to designing advanced functional materials.
Purpose of the Study:
- To design, simulate, and experimentally characterize one-dimensional acoustic metasurfaces.
- To explore the application of Frieze groups in acoustic metamaterial design.
- To demonstrate how engineered symmetries influence acoustic properties.
Main Methods:
- Utilized Frieze groups to define unit cell structures for metasurfaces.
- Employed computational simulations to predict acoustic behavior.
- Conducted experimental characterization of fabricated metasurfaces.
Main Results:
- Successfully designed and fabricated seven distinct one-dimensional acoustic metasurfaces.
- Each metasurface's unit cell corresponds to a unique Frieze group.
- Demonstrated the ability to tailor acoustic dispersion through symmetry manipulation.
Conclusions:
- Frieze groups provide a robust framework for designing acoustic metasurfaces.
- Strategic breaking of symmetries in these structures allows for precise control over acoustic wave propagation.
- This work opens new avenues for developing tunable acoustic devices.
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