date: 2019-02-12T12:34:53Z pdf:PDFVersion: 1.5 pdf:docinfo:title: Propagation of Elastic Waves in a One-Dimensional High Aspect Ratio Nanoridge Phononic Crystal xmp:CreatorTool: LaTeX with hyperref package access_permission:can_print_degraded: true subject: 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. dc:format: application/pdf; version=1.5 pdf:docinfo:creator_tool: LaTeX with hyperref package access_permission:fill_in_form: true pdf:encrypted: false dc:title: Propagation of Elastic Waves in a One-Dimensional High Aspect Ratio Nanoridge Phononic Crystal modified: 2019-02-12T12:34:53Z cp:subject: 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. pdf:docinfo:subject: 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. pdf:docinfo:creator: Abdellatif Gueddida, Yan Pennec, El Houssaine El Boudouti, George Fytas and Bahram Djafari Rouhani PTEX.Fullbanner: This is pdfTeX, Version 3.14159265-2.6-1.40.18 (TeX Live 2017/W32TeX) kpathsea version 6.2.3 meta:author: Abdellatif Gueddida, Yan Pennec, El Houssaine El Boudouti, George Fytas and Bahram Djafari Rouhani trapped: False meta:creation-date: 2018-05-17T08:02:00Z created: 2018-05-17T08:02:00Z access_permission:extract_for_accessibility: true Creation-Date: 2018-05-17T08:02:00Z Author: Abdellatif Gueddida, Yan Pennec, El Houssaine El Boudouti, George Fytas and Bahram Djafari Rouhani producer: pdfTeX-1.40.18 pdf:docinfo:producer: pdfTeX-1.40.18 pdf:unmappedUnicodeCharsPerPage: 17 dc:description: 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. Keywords: phononic crystals; surface acoustic waves; hypersonic; finite element method access_permission:modify_annotations: true dc:creator: Abdellatif Gueddida, Yan Pennec, El Houssaine El Boudouti, George Fytas and Bahram Djafari Rouhani description: 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. dcterms:created: 2018-05-17T08:02:00Z Last-Modified: 2019-02-12T12:34:53Z dcterms:modified: 2019-02-12T12:34:53Z title: Propagation of Elastic Waves in a One-Dimensional High Aspect Ratio Nanoridge Phononic Crystal xmpMM:DocumentID: uuid:a03c0b5f-eb22-4d69-aa45-109a70325ae8 Last-Save-Date: 2019-02-12T12:34:53Z pdf:docinfo:keywords: phononic crystals; surface acoustic waves; hypersonic; finite element method pdf:docinfo:modified: 2019-02-12T12:34:53Z meta:save-date: 2019-02-12T12:34:53Z pdf:docinfo:custom:PTEX.Fullbanner: This is pdfTeX, Version 3.14159265-2.6-1.40.18 (TeX Live 2017/W32TeX) kpathsea version 6.2.3 Content-Type: application/pdf X-Parsed-By: org.apache.tika.parser.DefaultParser creator: Abdellatif Gueddida, Yan Pennec, El Houssaine El Boudouti, George Fytas and Bahram Djafari Rouhani dc:subject: phononic crystals; surface acoustic waves; hypersonic; finite element method access_permission:assemble_document: true xmpTPg:NPages: 13 pdf:charsPerPage: 3180 access_permission:extract_content: true access_permission:can_print: true pdf:docinfo:trapped: False meta:keyword: phononic crystals; surface acoustic waves; hypersonic; finite element method access_permission:can_modify: true pdf:docinfo:created: 2018-05-17T08:02:00Z