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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Auteurs principaux:	An Qi Ge, Ming Wei Zhuang, Jie Liu, Qing Huo Liu
Format:	article
Langue:	EN
Publié:	IEEE 2021
Sujets:	Elastic waveguide spectral element method metamaterials anisotropic density media Electrical engineering. Electronics. Nuclear engineering TK1-9971
Accès en ligne:	https://doaj.org/article/09e45d7f8bc340dfb3db992c4eb45336
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id	oai: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
_version_	1718416074995662848

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

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