C. He et Ae. Hay, NEAR-FIELD CHARACTERISTICS OF CIRCULAR PISTON RADIATORS WITH SIMPLE SUPPORT, The Journal of the Acoustical Society of America, 94(1), 1993, pp. 554-561
A closed-form expression for the pressure field produced by a circular
piston radiator with simply supported boundary condition and continuo
us-wave excitation is derived. The method of Hasegawa et al. [J. Acous
t. Soc. Am. 74, 1044-1047 (1983)], developed for a uniformly vibrating
piston, is extended to include the nonuniform case. The resulting exp
ression is valid for all field points and for large ratio of source di
ameter to wavelength. The average pressure on the surface of a circula
r receiver as a function of receiver size and distance from the transd
ucer is also calculated.