Diffraction and Attenuation of Nonlinear Acoustic Waves in Layered Media.
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| Title: | Diffraction and Attenuation of Nonlinear Acoustic Waves in Layered Media. |
|---|---|
| Authors: | Madhuranthakam, Yoganandh1 (AUTHOR) madhuran@msu.edu, Chakrapani, Sunil Kishore1 (AUTHOR) csk@egr.msu.edu |
| Source: | Journal of Theoretical & Computational Acoustics. Jun2026, Vol. 34 Issue 2, p1-20. 20p. |
| Subjects: | Wave diffraction, Attenuation (Physics), Second harmonic generation, Theory of wave motion, Model validation, Nonlinear acoustics |
| Abstract: | Diffraction and attenuation of nonlinear acoustic waves propagating through multi-layered media are important in a wide range of applications. While many existing models address nonlinear wave propagation on a layer-by-layer basis, they often fail to adequately capture diffraction effects. To address this challenge, first, this study generalizes the current layer-wise model (limited to three layers) for n-layered media. Subsequently, three hypotheses were proposed to understand nonlinear wave propagation through layered media: (a) the presence of a single Fresnel zone for second harmonic in layered media, (b) diffraction and (c) attenuation characteristics of second harmonic wave in the 2 nd and subsequent layers. Based on these hypotheses, a unified model was developed, which accounts for both diffraction and attenuation effects. These models were examined using four cases that were designed specifically to test the hypotheses. Case I: β = 0 for layer 1, β ≠ 0 for layer 2 to determine if second harmonic in 2 nd layer will propagate in such a way that its source was at the start of second or first layer. Case II: β ≠ 0 for layer 1, β = 0 for layer 2 to check if accumulated second harmonic from 1st layer propagating as a linear wave in 2 nd layer will diffract with fundamental or second harmonic frequency. In Case III: the effect of only attenuation and no diffraction using plane wave solution. Finally in Case IV: fluid-solid two-layer case are explored. The analytical results were validated using numerical simulations, which showed that the unified model has good agreement with numerical results for all the cases compared to the layer-wise model. [ABSTRACT FROM AUTHOR] |
| Copyright of Journal of Theoretical & Computational Acoustics is the property of World Scientific Publishing Company 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 |
| FullText | Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 194674239 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Diffraction and Attenuation of Nonlinear Acoustic Waves in Layered Media. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Madhuranthakam%2C+Yoganandh%22">Madhuranthakam, Yoganandh</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> madhuran@msu.edu</i><br /><searchLink fieldCode="AR" term="%22Chakrapani%2C+Sunil+Kishore%22">Chakrapani, Sunil Kishore</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> csk@egr.msu.edu</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Journal+of+Theoretical+%26+Computational+Acoustics%22">Journal of Theoretical & Computational Acoustics</searchLink>. Jun2026, Vol. 34 Issue 2, p1-20. 20p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Wave+diffraction%22">Wave diffraction</searchLink><br /><searchLink fieldCode="DE" term="%22Attenuation+%28Physics%29%22">Attenuation (Physics)</searchLink><br /><searchLink fieldCode="DE" term="%22Second+harmonic+generation%22">Second harmonic generation</searchLink><br /><searchLink fieldCode="DE" term="%22Theory+of+wave+motion%22">Theory of wave motion</searchLink><br /><searchLink fieldCode="DE" term="%22Model+validation%22">Model validation</searchLink><br /><searchLink fieldCode="DE" term="%22Nonlinear+acoustics%22">Nonlinear acoustics</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: Diffraction and attenuation of nonlinear acoustic waves propagating through multi-layered media are important in a wide range of applications. While many existing models address nonlinear wave propagation on a layer-by-layer basis, they often fail to adequately capture diffraction effects. To address this challenge, first, this study generalizes the current layer-wise model (limited to three layers) for n-layered media. Subsequently, three hypotheses were proposed to understand nonlinear wave propagation through layered media: (a) the presence of a single Fresnel zone for second harmonic in layered media, (b) diffraction and (c) attenuation characteristics of second harmonic wave in the 2 nd and subsequent layers. Based on these hypotheses, a unified model was developed, which accounts for both diffraction and attenuation effects. These models were examined using four cases that were designed specifically to test the hypotheses. Case I: β = 0 for layer 1, β ≠ 0 for layer 2 to determine if second harmonic in 2 nd layer will propagate in such a way that its source was at the start of second or first layer. Case II: β ≠ 0 for layer 1, β = 0 for layer 2 to check if accumulated second harmonic from 1st layer propagating as a linear wave in 2 nd layer will diffract with fundamental or second harmonic frequency. In Case III: the effect of only attenuation and no diffraction using plane wave solution. Finally in Case IV: fluid-solid two-layer case are explored. The analytical results were validated using numerical simulations, which showed that the unified model has good agreement with numerical results for all the cases compared to the layer-wise model. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Journal of Theoretical & Computational Acoustics is the property of World Scientific Publishing Company 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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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1142/S2591728526500015 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 20 StartPage: 1 Subjects: – SubjectFull: Wave diffraction Type: general – SubjectFull: Attenuation (Physics) Type: general – SubjectFull: Second harmonic generation Type: general – SubjectFull: Theory of wave motion Type: general – SubjectFull: Model validation Type: general – SubjectFull: Nonlinear acoustics Type: general Titles: – TitleFull: Diffraction and Attenuation of Nonlinear Acoustic Waves in Layered Media. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Madhuranthakam, Yoganandh – PersonEntity: Name: NameFull: Chakrapani, Sunil Kishore IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 06 Text: Jun2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 25917285 Numbering: – Type: volume Value: 34 – Type: issue Value: 2 Titles: – TitleFull: Journal of Theoretical & Computational Acoustics Type: main |
| ResultId | 1 |
