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Fourier modal method with enhanced transmittance matrix for diffraction analysis of multilayer two-dimensional acoustic metamaterial gratings.

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Title: Fourier modal method with enhanced transmittance matrix for diffraction analysis of multilayer two-dimensional acoustic metamaterial gratings.
Authors: Guo, Zengxian1,2 (AUTHOR), Li, Jia1,2 (AUTHOR), Guo, Yingxian1,2 (AUTHOR), Zhang, Songsong1,2 (AUTHOR), Ma, Teng1,2 (AUTHOR), Wang, Guojun1,2 (AUTHOR), Wang, Qiang1,2 (AUTHOR), Liu, Xiaoji1,2 (AUTHOR), Zhang, Zhijia1,2 (AUTHOR), Wei, Hao1,2 (AUTHOR), Wang, Lin1,2 (AUTHOR) linwang@hrbeu.edu.cn
Source: Journal of the Acoustical Society of America. May2026, Vol. 159 Issue 5, p3835-3844. 10p.
Subjects: Wave diffraction, Transfer matrix, Theory of wave motion, Numerical analysis, Acoustical materials, Finite element method
Abstract: This paper adapts a well-established optical Fourier modal method to acoustics and proposes a Fourier modal method with an enhanced transmittance matrix for investigating the diffraction characteristics of multilayer two-dimensional acoustic metamaterial gratings. This method analytically solves the acoustics equation in the Fourier domain and matches the analytical solutions at boundaries to obtain the overall diffraction information. Numerical results demonstrate that this method yields results consistent with those of the finite-element method for both oblique and normal incidence, while offering significant computational advantages compared with full-wave spatial discretization for relatively simple periodic unit-cell geometries. The primary practical value of the framework lies in the rapid prediction of the overall reflection and transmission of multilayer periodic acoustic gratings, which is particularly attractive for parameter sweeps and design optimization. When higher-order propagating channels are open, this method also provides direct access to the contributions of individual diffraction orders. The proposed framework therefore provides a fast and accurate tool for the analysis and design of multilayer acoustic-metamaterial gratings. [ABSTRACT FROM AUTHOR]
Copyright of Journal of the Acoustical Society of America is the property of American Institute of Physics and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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Header DbId: egs
DbLabel: Engineering Source
An: 194178244
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
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  Label: Title
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  Data: Fourier modal method with enhanced transmittance matrix for diffraction analysis of multilayer two-dimensional acoustic metamaterial gratings.
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  Data: <searchLink fieldCode="AR" term="%22Guo%2C+Zengxian%22">Guo, Zengxian</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Li%2C+Jia%22">Li, Jia</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Guo%2C+Yingxian%22">Guo, Yingxian</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Zhang%2C+Songsong%22">Zhang, Songsong</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Ma%2C+Teng%22">Ma, Teng</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Wang%2C+Guojun%22">Wang, Guojun</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Wang%2C+Qiang%22">Wang, Qiang</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Liu%2C+Xiaoji%22">Liu, Xiaoji</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Zhang%2C+Zhijia%22">Zhang, Zhijia</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Wei%2C+Hao%22">Wei, Hao</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Wang%2C+Lin%22">Wang, Lin</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<i> linwang@hrbeu.edu.cn</i>
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  Data: <searchLink fieldCode="JN" term="%22Journal+of+the+Acoustical+Society+of+America%22">Journal of the Acoustical Society of America</searchLink>. May2026, Vol. 159 Issue 5, p3835-3844. 10p.
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  Data: <searchLink fieldCode="DE" term="%22Wave+diffraction%22">Wave diffraction</searchLink><br /><searchLink fieldCode="DE" term="%22Transfer+matrix%22">Transfer matrix</searchLink><br /><searchLink fieldCode="DE" term="%22Theory+of+wave+motion%22">Theory of wave motion</searchLink><br /><searchLink fieldCode="DE" term="%22Numerical+analysis%22">Numerical analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Acoustical+materials%22">Acoustical materials</searchLink><br /><searchLink fieldCode="DE" term="%22Finite+element+method%22">Finite element method</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: This paper adapts a well-established optical Fourier modal method to acoustics and proposes a Fourier modal method with an enhanced transmittance matrix for investigating the diffraction characteristics of multilayer two-dimensional acoustic metamaterial gratings. This method analytically solves the acoustics equation in the Fourier domain and matches the analytical solutions at boundaries to obtain the overall diffraction information. Numerical results demonstrate that this method yields results consistent with those of the finite-element method for both oblique and normal incidence, while offering significant computational advantages compared with full-wave spatial discretization for relatively simple periodic unit-cell geometries. The primary practical value of the framework lies in the rapid prediction of the overall reflection and transmission of multilayer periodic acoustic gratings, which is particularly attractive for parameter sweeps and design optimization. When higher-order propagating channels are open, this method also provides direct access to the contributions of individual diffraction orders. The proposed framework therefore provides a fast and accurate tool for the analysis and design of multilayer acoustic-metamaterial gratings. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Journal of the Acoustical Society of America is the property of American Institute of Physics and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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      – Type: doi
        Value: 10.1121/10.0043728
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      – Code: eng
        Text: English
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        PageCount: 10
        StartPage: 3835
    Subjects:
      – SubjectFull: Wave diffraction
        Type: general
      – SubjectFull: Transfer matrix
        Type: general
      – SubjectFull: Theory of wave motion
        Type: general
      – SubjectFull: Numerical analysis
        Type: general
      – SubjectFull: Acoustical materials
        Type: general
      – SubjectFull: Finite element method
        Type: general
    Titles:
      – TitleFull: Fourier modal method with enhanced transmittance matrix for diffraction analysis of multilayer two-dimensional acoustic metamaterial gratings.
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            NameFull: Guo, Zengxian
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            NameFull: Zhang, Songsong
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            NameFull: Ma, Teng
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            – D: 01
              M: 05
              Text: May2026
              Type: published
              Y: 2026
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