Retrieving effective acoustic impedance and refractive index for size mismatch samples
In this paper, we have presented an analytical solution to extract the effective properties of acoustic metamaterials from the measured complex transmission and reflection coefficients when the metamaterial and impedance tube have different sizes. We first considered the air gap as a separate domain...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
AIP Publishing LLC
2022-06-01
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| Series: | AIP Advances |
| Online Access: | http://dx.doi.org/10.1063/5.0082371 |
| _version_ | 1818114676502822912 |
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| author | Mohammad Javad Khodaei Amin Mehrvarz Reza Ghaffarivardavagh Nader Jalili |
| author_facet | Mohammad Javad Khodaei Amin Mehrvarz Reza Ghaffarivardavagh Nader Jalili |
| author_sort | Mohammad Javad Khodaei |
| collection | DOAJ |
| description | In this paper, we have presented an analytical solution to extract the effective properties of acoustic metamaterials from the measured complex transmission and reflection coefficients when the metamaterial and impedance tube have different sizes. We first considered the air gap as a separate domain and modeled the problem as a bilayer metamaterial inside a duct. Then, we established theoretically that when the dimensions of an acoustic metamaterial are known, the effective properties may be derived by solving a set of eight linear equations. Finally, we assessed the proposed technique using numerical simulation data. The proposed method is shown to calculate the effective refractive index and impedance with an error of less than 1%. This method provides an efficient approach to analyze the effective properties of acoustic metamaterials of different sizes. |
| first_indexed | 2024-12-11T03:54:31Z |
| format | Article |
| id | doaj.art-565f748ce40046ba85580e2eaebeb1f3 |
| institution | Directory Open Access Journal |
| issn | 2158-3226 |
| language | English |
| last_indexed | 2024-12-11T03:54:31Z |
| publishDate | 2022-06-01 |
| publisher | AIP Publishing LLC |
| record_format | Article |
| series | AIP Advances |
| spelling | doaj.art-565f748ce40046ba85580e2eaebeb1f32022-12-22T01:21:49ZengAIP Publishing LLCAIP Advances2158-32262022-06-01126065224065224-510.1063/5.0082371Retrieving effective acoustic impedance and refractive index for size mismatch samplesMohammad Javad Khodaei0Amin Mehrvarz1Reza Ghaffarivardavagh2Nader Jalili3Department of Mechanical and Industrial Engineering, Northeastern University, Boston, Massachusetts 02115, USADepartment of Mechanical and Industrial Engineering, Northeastern University, Boston, Massachusetts 02115, USAMIT Media Lab, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USADepartment of Mechanical and Industrial Engineering, Northeastern University, Boston, Massachusetts 02115, USAIn this paper, we have presented an analytical solution to extract the effective properties of acoustic metamaterials from the measured complex transmission and reflection coefficients when the metamaterial and impedance tube have different sizes. We first considered the air gap as a separate domain and modeled the problem as a bilayer metamaterial inside a duct. Then, we established theoretically that when the dimensions of an acoustic metamaterial are known, the effective properties may be derived by solving a set of eight linear equations. Finally, we assessed the proposed technique using numerical simulation data. The proposed method is shown to calculate the effective refractive index and impedance with an error of less than 1%. This method provides an efficient approach to analyze the effective properties of acoustic metamaterials of different sizes.http://dx.doi.org/10.1063/5.0082371 |
| spellingShingle | Mohammad Javad Khodaei Amin Mehrvarz Reza Ghaffarivardavagh Nader Jalili Retrieving effective acoustic impedance and refractive index for size mismatch samples AIP Advances |
| title | Retrieving effective acoustic impedance and refractive index for size mismatch samples |
| title_full | Retrieving effective acoustic impedance and refractive index for size mismatch samples |
| title_fullStr | Retrieving effective acoustic impedance and refractive index for size mismatch samples |
| title_full_unstemmed | Retrieving effective acoustic impedance and refractive index for size mismatch samples |
| title_short | Retrieving effective acoustic impedance and refractive index for size mismatch samples |
| title_sort | retrieving effective acoustic impedance and refractive index for size mismatch samples |
| url | http://dx.doi.org/10.1063/5.0082371 |
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