title: 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.
authors.affiliation: Harvard John A. Paulson School of Engineering and Applied Science, Harvard University, Cambridge, Massachusetts 02138, USA.
authors.forename: Pai
authors.initials: P
authors.lastname: Wang
authors.affiliation: Jacobs School of Engineering, University of California, San Diego, California 92093, USA.
authors.forename: Yue
authors.initials: Y
authors.lastname: Zheng
authors.affiliation: Harvard John A. Paulson School of Engineering and Applied Science, Harvard University, Cambridge, Massachusetts 02138, USA.
authors.forename: Matheus C
authors.initials: MC
authors.lastname: Fernandes
authors.affiliation: Tsinghua University, Beijing 100084, China.
authors.forename: Yushen
authors.initials: Y
authors.lastname: Sun
authors.affiliation: Peking University Shenzhen Graduate School, Shenzhen 518055, China.
authors.forename: Kai
authors.initials: K
authors.lastname: Xu
authors.affiliation: Harvard John A. Paulson School of Engineering and Applied Science, Harvard University, Cambridge, Massachusetts 02138, USA.|Tsinghua University, Beijing 100084, China.
authors.forename: Sijie
authors.initials: S
authors.lastname: Sun
authors.affiliation: Department of Mechanical Engineering, Johns Hopkins University, Baltimore, Maryland 21218, USA.
authors.forename: Sung Hoon
authors.initials: SH
authors.lastname: Kang
authors.affiliation: Harvard John A. Paulson School of Engineering and Applied Science, Harvard University, Cambridge, Massachusetts 02138, USA.|LAUM, CNRS, Université du Maine, Avenue O. Messiaen, 72085 Le Mans, France.
authors.forename: Vincent
authors.initials: V
authors.lastname: Tournat
authors.affiliation: Harvard John A. Paulson School of Engineering and Applied Science, Harvard University, Cambridge, Massachusetts 02138, USA.|Kavli Institute, Harvard University, Cambridge, Massachusetts 02138, USA.
authors.forename: Katia
authors.initials: K
authors.lastname: Bertoldi