Bibliographic Details
| Title: |
Factorization of the Green's function of high-frequency acoustic half-space impedance problems. |
| 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] |
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| Database: |
Engineering Source |
