Near‐field characteristics of circular piston radiators with simple support

A closed‐form expression for the pressure field produced by a circular piston radiator with simply supported boundary condition and continuous‐wave excitation is derived. The method of Hasegawa etal. [J. Acoust. Soc. Am. 74, 1044–1047 (1983)], developed for a uniformly vibrating piston, is extended to include the nonuniform case. The resulting expression is valid for all field points and for large ratio of source diameter to wavelength. The average pressure on the surface of a circular receiver as a function of receiver size and distance from the transducer is also calculated.