The geometry of sound rays in a wind

Details The geometry of sound rays in a wind The geometry of sound rays in a wind

2011-02-11

arxiv.org/abs/1102.2409v1

Contemp.Phys.52:197-209,2011

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Popular review article to appear in Contemporary Physics

Scientific paper

10.1080/00107514.2011.563515

We survey the close relationship between sound and light rays and geometry. In the case where the medium is at rest, the geometry is the classical geometry of Riemann. In the case where the medium is moving, the more general geometry known as Finsler geometry is needed. We develop these geometries ab initio, with examples, and in particular show how sound rays in a stratified atmosphere with a wind can be mapped to a problem of circles and straight lines.

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