Current studentsExisting staffContact us
 

Acoustic lattice resonances and generalised Rayleigh-Bloch waves

Simple item page
dc.contributor.authorChaplain, G.J.
dc.contributor.authorHawkins, S.C.
dc.contributor.authorPeter, M.A.
dc.contributor.authorBennetts, L.G.
dc.contributor.authorStarkey, T.A.
dc.date.issued2025
dc.description.abstractThe intrigue of waves on periodic lattices and gratings has resonated with physicists and mathematicians alike for decades. In-depth analysis has been devoted to the seemingly simplest array system: a one-dimensionally periodic lattice of two-dimensional scatterers embedded in a dispersionless medium governed by the Helmholtz equation. We investigate such a system and experimentally confirm the existence of a new class of generalised Rayleigh–Bloch waves that have been recently theorised to exist in classical wave regimes, without the need for resonant scatterers. Airborne acoustics serves as such a regime and we experimentally observe the first generalised Rayleigh–Bloch waves above the first cut-off, i.e., in the radiative regime. We consider radiative acoustic lattice resonances along a diffraction grating and connect them to generalised Rayleigh–Bloch waves by considering both short and long arrays of non-resonant 2D cylindrical Neumann scatterers embedded in air. On short arrays, we observe finite lattice resonances under continuous wave excitation, and on long arrays, we observe propagating Rayleigh–Bloch waves under pulsed excitation. We interpret their existence by considering multiple wave scattering theory and, in doing so, unify differing nomenclatures used to describe waves on infinite periodic and finite arrays and the interpretation of their dispersive properties.
dc.description.statementofresponsibilityG. J. Chaplain, S. C. Hawkins, M. A. Peter, L. G. Bennetts, T. A. Starkey
dc.identifier.citationCommunications Physics, 2025; 8(1):37-1-37-9
dc.identifier.doi10.1038/s42005-025-01950-4
dc.identifier.issn2399-3650
dc.identifier.issn2399-3650
dc.identifier.orcidBennetts, L.G. [0000-0001-9386-7882]
dc.identifier.urihttps://hdl.handle.net/2440/144545
dc.language.isoen
dc.publisherNature Portfolio
dc.relation.granthttp://purl.org/au-research/grants/arc/DP220102243
dc.relation.granthttp://purl.org/au-research/grants/arc/FT190100404
dc.rights© The Author(s) 2025. Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
dc.source.urihttps://doi.org/10.1038/s42005-025-01950-4
dc.subjectAcoustics; Applied mathematics
dc.titleAcoustic lattice resonances and generalised Rayleigh-Bloch waves
dc.typeJournal article
pubs.publication-statusPublished

Files

Original bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
hdl_144545.pdf
Size:
1.64 MB
Format:
Adobe Portable Document Format
Description:
Published version
Download

Collections

Research Outputs