Appl. Sci. 2018, 8(5), 805; https://doi.org/10.3390/app8050805
Propagation of Elastic Waves in a One-Dimensional High Aspect Ratio Nanoridge Phononic Crystal
Abdellatif Gueddida 1,2, Yan Pennec 1,*
, El Houssaine El Boudouti 1,2, George Fytas 3,4 and Bahram Djafari Rouhani 1
, El Houssaine El Boudouti 1,2, George Fytas 3,4 and Bahram Djafari Rouhani 11
Institut d’Électronique, de Microélectronique et de Nanotechnologies, UMR-CNRS 8520, Université de Lille, 59655 Villeneuve d’Ascq, France
2
LPMR, Département de Physique, Faculté des Sciences, Université Mohamed I, 60000 Oujda, Morocco
3
Max Planck Institute for Polymer Research, Ackermannweg 10, 55021 Mainz, Germany
4
Department of Materials Science, University of Crete and IESL/FORTH, 71110 Heraklion, Greece
*
Author to whom correspondence should be addressed.
Received: 11 April 2018 / Revised: 13 May 2018 / Accepted: 15 May 2018 / Published: 17 May 2018
(This article belongs to the Special Issue Brillouin Scattering and Optomechanics)
Abstract
We investigate the propagation of elastic waves in a one-dimensional (1D) phononic crystal constituted by high aspect ratio epoxy nanoridges that have been deposited at the surface of a glass substrate. With the help of the finite element method (FEM), we calculate the dispersion curves of the modes localized at the surface for propagation both parallel and perpendicular to the nanoridges. When the direction of the wave is parallel to the nanoridges, we find that the vibrational states coincide with the Lamb modes of an infinite plate that correspond to one nanoridge. When the direction of wave propagation is perpendicular to the 1D nanoridges, the localized modes inside the nanoridges give rise to flat branches in the band structure that interact with the surface Rayleigh mode, and possibly open narrow band gaps. Filling the nanoridge structure with a viscous liquid produces new modes that propagate along the 1D finite height multilayer array. View Full-Text
Figure 1
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Gueddida, A.; Pennec, Y.; El Boudouti, E.H.; Fytas, G.; Djafari Rouhani, B. Propagation of Elastic Waves in a One-Dimensional High Aspect Ratio Nanoridge Phononic Crystal. Appl. Sci. 2018, 8, 805.
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