Harnessing Geometric Frustration to Form Band Gaps in Acoustic Channel Lattices

Abstract

We demonstrate both numerically and experimentally that geometric frustration in two-dimensional periodic acoustic networks consisting of arrays of narrow air channels can be harnessed to form band gaps (ranges of frequency in which the waves cannot propagate in any direction through the system). While resonant standing wave modes and interferences are ubiquitous in all the analyzed network geometries, we show that they give rise to band gaps only in the geometrically frustrated ones (i.e. those comprising of triangles and pentagons). Our results not only reveal a new mechanism based on geometric frustration to suppress the propagation of pressure waves in specific frequency ranges, but also opens avenues for the design of a new generation of smart systems that control and manipulate sound and vibrations.

References in corpus (3)

• Geometric Frustration in Buckled Colloidal Monolayers
• Direct entropy determination and application to artificial spin ice
• Macroscopic magnetic frustration

Cited by in corpus (5)

• Emergent Disorder and Mechanical Memory in Periodic Metamaterials
• Robustness of topological corner modes against disorder and application to acoustic networks
• Exploiting Localized Transition Waves to Tune Sound Propagation in Soft Materials
• Single $\pi$-flux hosting topological defect modes in bilayer acoustic metamaterials
• Membrane phononic crystals for high-Qm mechanical defect modes in piezoelectric aluminum nitride