Abstract
In parametric arrays, the nonlinear interaction between two, harmonic time-dependent waves creates sum and difference frequency radiations. A solution for the pressure field of the secondary radiations has been obtained numerically for interaction in the farfield of a circular piston source [Papers CC4, 80th meeting, and FF7, 81st meeting of the Acoust. Soc. Amer.]. In the present analysis, this solution is extended to include interaction in the nearfield as well as the farfield of the circular piston. A single intergral expression, which describes the piston nearfield exactly, is derived from the impulse response of a circular piston. The results are compared to experiments involving the amplitude and azimuthal response of a difference frequency radiation. The theoretical results are also compared to other models using (1) plane-wave and (2) spherical-wave approximations of the primary sound field. [This work was sponsored by the U. S. Navy Office of Naval Research.]
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