Factorization of the Green's function of high-frequency acoustic half-space impedance problems.
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| Title: | Factorization of the Green's function of high-frequency acoustic half-space impedance problems. |
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| Authors: | Lin, C.1 (AUTHOR) chuhe.lin@math.uzh.ch, Melenk, J. M.2 (AUTHOR) melenk@tuwien.ac.at, Sauter, S.1 (AUTHOR) stas@math.uzh.ch |
| Source: | Zeitschrift für Angewandte Mathematik und Physik (ZAMP). May2026, Vol. 77 Issue 5, p1-27. 27p. |
| Subjects: | Green's functions, Acoustic impedance, Mathematical functions, Eikonal equation, Factorization, Ultrasonic waves, Boundary value problems |
| Abstract: | We show that the acoustic Green's function for a half-space impedance problem in arbitrary spatial dimension d can be written as a sum of three terms, each of which is the product of an exponential function with the eikonal in the argument and a slowly varying function. We introduce the notion of families of slowly varying functions to formulate this statement as a theorem and present its proof. [ABSTRACT FROM AUTHOR] |
| Copyright of Zeitschrift für Angewandte Mathematik und Physik (ZAMP) is the property of Springer Nature 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: 194162628 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1007/s00033-026-02782-0 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 27 StartPage: 1 Subjects: – SubjectFull: Green's functions Type: general – SubjectFull: Acoustic impedance Type: general – SubjectFull: Mathematical functions Type: general – SubjectFull: Eikonal equation Type: general – SubjectFull: Factorization Type: general – SubjectFull: Ultrasonic waves Type: general – SubjectFull: Boundary value problems Type: general Titles: – TitleFull: Factorization of the Green's function of high-frequency acoustic half-space impedance problems. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Lin, C. – PersonEntity: Name: NameFull: Melenk, J. M. – PersonEntity: Name: NameFull: Sauter, S. IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 05 Text: May2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 00442275 Numbering: – Type: volume Value: 77 – Type: issue Value: 5 Titles: – TitleFull: Zeitschrift für Angewandte Mathematik und Physik (ZAMP) Type: main |
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