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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 open avenues for the design of a new generation of smart systems that control and manipulate sound and vibrations.
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Soumis le : jeudi 8 février 2018 - 09:58:20
Dernière modification le : vendredi 6 décembre 2019 - 10:28:04

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PhysRevLett.118.084302.pdf
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Pai Wang, Yue Zheng, Matheus Fernandes, Yushen Sun, Kai Xu, et al.. Harnessing Geometric Frustration to Form Band Gaps in Acoustic Channel Lattices. Physical Review Letters, American Physical Society, 2017, 118 (8), ⟨10.1103/PhysRevLett.118.084302⟩. ⟨hal-01703897⟩

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