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...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
IEEE
2021-01-01
|
| Series: | IEEE Access |
| Subjects: | |
| Online Access: | https://ieeexplore.ieee.org/document/9611258/ |
| _version_ | 1818568596570243072 |
|---|---|
| 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 |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-12-14T06:37:21Z |
| format | Article |
| id | doaj.art-09e45d7f8bc340dfb3db992c4eb45336 |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-12-14T06:37:21Z |
| publishDate | 2021-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-09e45d7f8bc340dfb3db992c4eb453362022-12-21T23:13:20ZengIEEEIEEE Access2169-35362021-01-01915382415383710.1109/ACCESS.2021.31272069611258Spectral Element Method for the Elastic/Acoustic Waveguide Problem in Anisotropic MetamaterialsAn Qi Ge0https://orcid.org/0000-0002-3822-5008Ming Wei Zhuang1https://orcid.org/0000-0002-5771-6603Jie Liu2https://orcid.org/0000-0002-8217-4869Qing Huo Liu3https://orcid.org/0000-0001-5286-4423School of Mathematical Sciences, Xiamen University, Xiamen, ChinaInstitute of Electromagnetics and Acoustics and Key Laboratory of Electromagnetic Wave Science and Detection Technology, Xiamen University, Xiamen, ChinaInstitute of Electromagnetics and Acoustics and Key Laboratory of Electromagnetic Wave Science and Detection Technology, Xiamen University, Xiamen, ChinaDepartment of Electrical and Computer Engineering, Duke University, Durham, NC, USAWaveguide 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.https://ieeexplore.ieee.org/document/9611258/Elastic waveguidespectral element methodmetamaterialsanisotropic density media |
| spellingShingle | An Qi Ge Ming Wei Zhuang Jie Liu Qing Huo Liu Spectral Element Method for the Elastic/Acoustic Waveguide Problem in Anisotropic Metamaterials IEEE Access Elastic waveguide spectral element method metamaterials anisotropic density media |
| title | 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_short | 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 |
| topic | Elastic waveguide spectral element method metamaterials anisotropic density media |
| url | https://ieeexplore.ieee.org/document/9611258/ |
| work_keys_str_mv | AT anqige spectralelementmethodfortheelasticacousticwaveguideprobleminanisotropicmetamaterials AT mingweizhuang spectralelementmethodfortheelasticacousticwaveguideprobleminanisotropicmetamaterials AT jieliu spectralelementmethodfortheelasticacousticwaveguideprobleminanisotropicmetamaterials AT qinghuoliu spectralelementmethodfortheelasticacousticwaveguideprobleminanisotropicmetamaterials |