Acoustics: Sound Fields, Transducers and Vibration, 2nd Edition

13.9. Radiation from a resilient disk in an infinite baffle [21]

A resilient disk in an infinite baffle, like the previous example, represents a source with a uniform pressure distribution over its radiating surface, unlike the rigid piston where the velocity is uniform. This makes the problem slightly harder to solve because we have to include a trial function for the disk velocity distribution in the surface integral. The trial function is in the form of a series expansion, the unknown coefficients of which have to be calculated via a set of simultaneous equations. However, it is worth the effort because, as we shall see, this particular source represents the diffraction pattern due to a plane wave passing through a circular aperture in ...