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Graded Quasiperiodic Metamaterials Perform Fractal Rainbow Trapping
B Davies1, G J Chaplain2, T A Starkey2
1Department of Mathematics, Imperial College London, London SW7 2AZ, United Kingdom.
Physical Review Letters
|November 13, 2023
Summary
Scientists developed a novel metamaterial exhibiting fractal rainbow trapping by merging graded metamaterials with quasiperiodic waveguides. This breakthrough enables broadband spectral manipulation using fractal band gaps within acoustic waveguides.
Area of Science:
- Acoustic metamaterials
- Waveguide physics
- Fractal geometry
Background:
- Rainbow trapping in graded metamaterials disperses frequencies spatially.
- Quasiperiodic waveguides exhibit fractal spectral properties.
- Combining these phenomena offers potential for advanced wave manipulation.
Purpose of the Study:
- To introduce and demonstrate a metamaterial exhibiting fractal rainbow trapping.
- To design an acoustic waveguide based on this principle.
- To validate the concept through theoretical, simulated, and experimental analyses.
Main Methods:
- Utilizing a graded cut-and-project algorithm to create a graded geometry.
- Designing an acoustic waveguide with position-dependent fractal band gaps.
- Employing theoretical analysis, numerical simulations, and experimental characterization.
Main Results:
- Successfully designed a metamaterial waveguide demonstrating fractal rainbow trapping.
- Observed spatially varying fractal structures of local band gaps.
- Achieved broadband wave manipulation through the graded fractal geometry.
Conclusions:
- The combination of graded metamaterials and quasiperiodic waveguides enables fractal rainbow trapping.
- The designed acoustic waveguide validates the principle for broadband spectral control.
- This work opens avenues for novel acoustic devices with tailored frequency responses.
