School of Mathematics & Statistics

Rays and caustics in multipole wave fields

John Chapman (University of Keele )

Thursday 8th October 14:00-15:00
Maths 311B

Abstract

It is shown that the familiar three-dimensional multipole in acoustics (`Hankel function times associated Legendre function') has a ray structure of greater interest than might be supposed, and this structure makes possible a new theory of near-field scattering. One key idea is that in constructing ray fields one must include subsonic rays as being just as important as ordinary rays, even though the governing wave equation contains just a single parameter, `the speed of sound'.

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