Spectral Element Method for the Elastic/Acoustic Waveguide Problem in Anisotropic Metamaterials

Waveguide problems are fundamental to elastic and acoustic wave propagation, where we are interested in finding the propagation constants and modal patterns of waveguide modes. As the waveguide is assumed uniform in one direction, the original 3-D problem can be converted into a so-called 2.5-D prob...

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Autores principales: An Qi Ge, Ming Wei Zhuang, Jie Liu, Qing Huo Liu
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Lenguaje:EN
Publicado: IEEE 2021
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Acceso en línea:https://doaj.org/article/09e45d7f8bc340dfb3db992c4eb45336
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spelling oai:doaj.org-article:09e45d7f8bc340dfb3db992c4eb453362021-11-24T00:02:29ZSpectral Element Method for the Elastic/Acoustic Waveguide Problem in Anisotropic Metamaterials2169-353610.1109/ACCESS.2021.3127206https://doaj.org/article/09e45d7f8bc340dfb3db992c4eb453362021-01-01T00:00:00Zhttps://ieeexplore.ieee.org/document/9611258/https://doaj.org/toc/2169-3536Waveguide problems are fundamental to elastic and acoustic wave propagation, where we are interested in finding the propagation constants and modal patterns of waveguide modes. As the waveguide is assumed uniform in one direction, the original 3-D problem can be converted into a so-called 2.5-D problem by using the Fourier transform in that direction. However, the introduction of elastic metamaterials (EMM) broadens the horizon of this subject, and new features are required in EMM waveguides that cannot be obtained by most traditional waveguide solvers. In this work, a spectral element method (SEM) is developed to simulate the elastic/acoustic waveguide problem in anisotropic media with anisotropic mass density and/or negative index parameters. We design an anisotropic density EMM waveguide with our SEM solver to demonstrate several intriguing phenomena. Comparisons with the traditional finite element method (FEM) for several examples show the significant advantages of the SEM in term of accuracy and efficiency.An Qi GeMing Wei ZhuangJie LiuQing Huo LiuIEEEarticleElastic waveguidespectral element methodmetamaterialsanisotropic density mediaElectrical engineering. Electronics. Nuclear engineeringTK1-9971ENIEEE Access, Vol 9, Pp 153824-153837 (2021)
institution DOAJ
collection DOAJ
language EN
topic Elastic waveguide
spectral element method
metamaterials
anisotropic density media
Electrical engineering. Electronics. Nuclear engineering
TK1-9971
spellingShingle Elastic waveguide
spectral element method
metamaterials
anisotropic density media
Electrical engineering. Electronics. Nuclear engineering
TK1-9971
An Qi Ge
Ming Wei Zhuang
Jie Liu
Qing Huo Liu
Spectral Element Method for the Elastic/Acoustic Waveguide Problem in Anisotropic Metamaterials
description Waveguide problems are fundamental to elastic and acoustic wave propagation, where we are interested in finding the propagation constants and modal patterns of waveguide modes. As the waveguide is assumed uniform in one direction, the original 3-D problem can be converted into a so-called 2.5-D problem by using the Fourier transform in that direction. However, the introduction of elastic metamaterials (EMM) broadens the horizon of this subject, and new features are required in EMM waveguides that cannot be obtained by most traditional waveguide solvers. In this work, a spectral element method (SEM) is developed to simulate the elastic/acoustic waveguide problem in anisotropic media with anisotropic mass density and/or negative index parameters. We design an anisotropic density EMM waveguide with our SEM solver to demonstrate several intriguing phenomena. Comparisons with the traditional finite element method (FEM) for several examples show the significant advantages of the SEM in term of accuracy and efficiency.
format article
author An Qi Ge
Ming Wei Zhuang
Jie Liu
Qing Huo Liu
author_facet An Qi Ge
Ming Wei Zhuang
Jie Liu
Qing Huo Liu
author_sort An Qi Ge
title Spectral Element Method for the Elastic/Acoustic Waveguide Problem in Anisotropic Metamaterials
title_short Spectral Element Method for the Elastic/Acoustic Waveguide Problem in Anisotropic Metamaterials
title_full Spectral Element Method for the Elastic/Acoustic Waveguide Problem in Anisotropic Metamaterials
title_fullStr Spectral Element Method for the Elastic/Acoustic Waveguide Problem in Anisotropic Metamaterials
title_full_unstemmed Spectral Element Method for the Elastic/Acoustic Waveguide Problem in Anisotropic Metamaterials
title_sort spectral element method for the elastic/acoustic waveguide problem in anisotropic metamaterials
publisher IEEE
publishDate 2021
url https://doaj.org/article/09e45d7f8bc340dfb3db992c4eb45336
work_keys_str_mv AT anqige spectralelementmethodfortheelasticacousticwaveguideprobleminanisotropicmetamaterials
AT mingweizhuang spectralelementmethodfortheelasticacousticwaveguideprobleminanisotropicmetamaterials
AT jieliu spectralelementmethodfortheelasticacousticwaveguideprobleminanisotropicmetamaterials
AT qinghuoliu spectralelementmethodfortheelasticacousticwaveguideprobleminanisotropicmetamaterials
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