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Wave propagation in non‐uniform media by linear expansion of the refraction law
Citation Link: https://doi.org/10.15480/882.17087
Publikationstyp
Journal Article
Date Issued
2026-01-10
Sprache
English
Author(s)
Bassetti, Alessandro
TORE-DOI
Volume
26
Issue
1
Article Number
e70033
Citation
95th Annual Meeting of the International Association of Applied Mathematics and Mechanics, GAMM 2025 (2026)
Contribution to Conference
Publisher DOI
Publisher
Wiley
The propagation of mechanical waves in an unbounded, non‐uniform medium can be described by using curvilinear coordinates centered at the source position. The Frenet coordinate system, with origin on a point riding a wave, is used as a basis for the curvilinear coordinates. In this way a principal coordinate stating the evolution of the wave field and running along a ray, orthogonally to the successive wave fronts, is determined. A linear expansion of the refraction law at the rider point connects the gradient of the speed of sound field to the curvatures of the wave path and of the wave front. We use this connection in developing a numerical solution for the wave field, after recalling recent developments about the historical determination of the refraction law.
DDC Class
531: Classical Mechanics
519: Applied Mathematics, Probabilities
Publication version
publishedVersion
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Name
Proc Appl Math and Mech - 2026 - Bassetti - Wave Propagation in Non‐Uniform Media by Linear Expansion of the Refraction Law.pdf
Type
Main Article
Size
1.46 MB
Format
Adobe PDF