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Acoustics: Sound Fields, Transducers and Vibration, 2nd Edition by Tim Mellow, Leo Beranek

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Chapter Thirteen

Radiation and scattering of sound by the boundary integral method

Abstract

This chapter starts with definitions of the Huygens–Fresnel Principle; Rayleigh integrals, Green's function; Kirchhoff–Helmholtz boundary integral; and Green's function in different coordinate systems. Then comes a succession of applications: radiation from a pulsating cap in a rigid sphere; reflection of a point source near a plane; radiation of a rigid circular piston in an infinite baffle; radiation from a resilient circular disk without a baffle and with an infinite baffle; radiation from a rigid circular piston in a finite circular open baffle and a finite circular closed baffle. This is followed by a definition of the Babinet–Bouwkamp principle, ...

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