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Time-domain scattering of acoustic spherical waves: an analytical method for the penetrable sphere.

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Title: Time-domain scattering of acoustic spherical waves: an analytical method for the penetrable sphere.
Authors: Kalogeropoulos, Andreas1 (AUTHOR) agkaloger@csd.auth.gr, Tsitsas, Nikolaos L.1 (AUTHOR)
Source: Proceedings of the Royal Society A: Mathematical, Physical & Engineering Sciences. 4/1/2026, Vol. 482 Issue 2335, p1-24. 24p.
Subjects: Time-domain analysis, Spherical waves, Spheres, Numerical analysis, Taylor's series, Sound wave scattering, Scientific method
Abstract: An analytical method is proposed for the treatment of acoustic scattering problems in the time-domain. It is based on the power-series expansions of the under-determination coefficients and does not involve integration techniques or residue calculations. The method is presented for the case of a penetrable sphere excited by a simple source emanating spherical waves, while its convergence properties are investigated by means of numerical implementations. Application of the developed method for the soft and the hard sphere showcases its adaptability and consistency in obtaining similar results with existing literature. [ABSTRACT FROM AUTHOR]
Copyright of Proceedings of the Royal Society A: Mathematical, Physical & Engineering Sciences is the property of Royal Society 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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DbLabel: Engineering Source
An: 192661147
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
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  Data: <searchLink fieldCode="DE" term="%22Time-domain+analysis%22">Time-domain analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Spherical+waves%22">Spherical waves</searchLink><br /><searchLink fieldCode="DE" term="%22Spheres%22">Spheres</searchLink><br /><searchLink fieldCode="DE" term="%22Numerical+analysis%22">Numerical analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Taylor's+series%22">Taylor's series</searchLink><br /><searchLink fieldCode="DE" term="%22Sound+wave+scattering%22">Sound wave scattering</searchLink><br /><searchLink fieldCode="DE" term="%22Scientific+method%22">Scientific method</searchLink>
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  Label: Abstract
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  Data: An analytical method is proposed for the treatment of acoustic scattering problems in the time-domain. It is based on the power-series expansions of the under-determination coefficients and does not involve integration techniques or residue calculations. The method is presented for the case of a penetrable sphere excited by a simple source emanating spherical waves, while its convergence properties are investigated by means of numerical implementations. Application of the developed method for the soft and the hard sphere showcases its adaptability and consistency in obtaining similar results with existing literature. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of Proceedings of the Royal Society A: Mathematical, Physical & Engineering Sciences is the property of Royal Society 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: 10.1098/rspa.2025.0677
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      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 24
        StartPage: 1
    Subjects:
      – SubjectFull: Time-domain analysis
        Type: general
      – SubjectFull: Spherical waves
        Type: general
      – SubjectFull: Spheres
        Type: general
      – SubjectFull: Numerical analysis
        Type: general
      – SubjectFull: Taylor's series
        Type: general
      – SubjectFull: Sound wave scattering
        Type: general
      – SubjectFull: Scientific method
        Type: general
    Titles:
      – TitleFull: Time-domain scattering of acoustic spherical waves: an analytical method for the penetrable sphere.
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            NameFull: Kalogeropoulos, Andreas
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            NameFull: Tsitsas, Nikolaos L.
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          Dates:
            – D: 01
              M: 04
              Text: 4/1/2026
              Type: published
              Y: 2026
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              Value: 482
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              Value: 2335
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            – TitleFull: Proceedings of the Royal Society A: Mathematical, Physical & Engineering Sciences
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