Rayleigh-Bloch waves along elastic diffraction gratings



Colquitt, Daniel ORCID: 0000-0001-5637-1626, Craster, RV, Antonakakis, T and Guenneau, S
(2015) Rayleigh-Bloch waves along elastic diffraction gratings. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 471 (2173).

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Abstract

Rayleigh–Bloch (RB) waves in elasticity, in contrast to those in scalar wave systems, appear to have had little attention. Despite the importance of RB waves in applications, their connections to trapped modes and the ubiquitous nature of diffraction gratings, there has been no investigation of whether such waves occur within elastic diffraction gratings for the in-plane vector elastic system. We identify boundary conditions that support such waves and numerical simulations confirm their presence. An asymptotic technique is also developed to generate effective medium homogenized equations for the grating that allows us to replace the detailed microstructure by a continuum representation. Further numerical simulations confirm that the asymptotic scheme captures the essential features of these waves

Item Type: Article
Uncontrolled Keywords: homogenization, elastic waves, plasmonics
Subjects: ?? QA ??
Depositing User: Symplectic Admin
Date Deposited: 06 Jan 2016 08:59
Last Modified: 06 Jan 2022 21:10
DOI: 10.1098/rspa.2014.0465
Related URLs:
URI: https://livrepository.liverpool.ac.uk/id/eprint/2044483