O'Reilly logo

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

Stay ahead with the world's most comprehensive technology and business learning platform.

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, tutorials, and more.

Start Free Trial

No credit card required

12.5. Radiation from a point source on a sphere

This problem is essentially the same as the last one when d   =   R. However, this time we shall introduce the property of orthogonality to obtain a simple solution. By reciprocity, the resulting expression can be used to obtain the pressure at a point on the sphere due to a source at some point in space. This is a useful model for the diffraction effects of the human head on sound arriving at one ear, assuming a hard sphere model of the head. Unlike the pulsating sphere, only an infinitesimally small part of the surface is oscillating, so that the velocity distribution is described by
u ˜ ( R , θ ) = { u ˜ 0 , 0 θ δ 0 , δ θ π ,
(12.39) ...

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, interactive tutorials, and more.

Start Free Trial

No credit card required