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Subwavelength Su-Schrieffer-Heeger topological modes in acoustic waveguides
Antonin Coutant1, Vassos Achilleos2, Olivier Richoux2
1Institut de Mathématiques de Bourgogne (IMB), UMR 5584, CNRS, Université de Bourgogne Franche-Comté, Dijon F-21000, France.
The Journal of the Acoustical Society of America
|July 1, 2022
Summary
Researchers developed a novel method to create tunable topological acoustic modes using coupled resonators. This technique precisely maps acoustic modes to the Su-Schrieffer-Heeger (SSH) model, enabling subwavelength topological phenomena control.
Area of Science:
- Acoustic Metamaterials
- Condensed Matter Physics
- Topological Physics
Background:
- Topological systems localize wave energy at material edges.
- Traditional methods using Bragg scattering are limited to low frequencies and large structures.
- Resonating elements offer subwavelength topological bandgaps but lack precise control over mode properties.
Purpose of the Study:
- To propose a unique construction for coupling acoustic resonators.
- To map acoustic modes precisely to the eigenmodes of the Su-Schrieffer-Heeger (SSH) model.
- To achieve controlled topological modes in the subwavelength regime.
Main Methods:
- Coupling acoustic resonators to emulate the SSH lattice model.
- Engineering resonator characteristics to control the energy-frequency relation.
- Generalizing the construction for tunable topological edge modes.
Main Results:
- Successfully mapped acoustic modes to SSH eigenmodes.
- Achieved precise control over topological mode frequency and localization length.
- Demonstrated the ability to obtain SSH topological modes in the subwavelength regime.
Conclusions:
- The proposed construction enables precise control over topological acoustic modes.
- This method allows for the realization of subwavelength topological phenomena.
- The approach is generalizable to tunable and alternative configurations for topological edge modes.
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