Observation of Topological Edge Modes in a Quasiperiodic Acoustic Waveguide

Area of Science:

• Acoustics
• Condensed Matter Physics
• Wave Phenomena

Background:

• Topological phases of matter offer unique boundary and interface states.
• Generating these states in acoustic systems is crucial for novel wave manipulation.
• Quasiperiodic structures provide a versatile platform for exploring topological phenomena.

Purpose of the Study:

• To demonstrate the generation of topological boundary and interface modes in acoustic waveguides.
• To investigate the effect of quasiperiodic wall patterning on the resonant spectrum.
• To provide theoretical and experimental validation of the topological properties.

Main Methods:

• Designing acoustic waveguides with quasiperiodic wall patterns.
• Calculating topological band gaps using bulk invariants for the continuum wave equation.
• Performing experimental measurements to verify theoretical predictions.

Main Results:

• Successful generation of topological boundary and interface modes.
• Observation of multiple topological gaps in the acoustic resonant spectrum.
• Experimental validation of theoretical predictions with high fidelity.
• Engineering of high-Q acoustic modes localized within the waveguide.

Conclusions:

• Simple quasiperiodic patterning of waveguide walls is an effective method for creating acoustic topological states.
• The study provides a robust framework for assessing the topological character of acoustic modes.
• This work opens avenues for designing advanced acoustic devices with tailored wave properties.