Abstract
A recent investigation [J. H. Ginsberg, “A singular perturbation analysis of axisymmetric, finite amplitude sound beams,” 9th Int. Symp. Nonlinear Acoustics, Leeds, England, 20–24 July 1981] derived an analytical expression for the pressure signal in an intense confined beam. That result consistently described the phenomena of nonlinear distortion, diffraction, and spherical spreading. The present paper develops that analytical result into an efficient computational algorithm using Gauss‐Chebyshev numerical integration. Results for assorted transducer vibratory patterns are given. The responses are displayed both as temporal waveforms, and as frequency spectra exhibiting the amplitudes and phase shifts of the fundamental and higher harmonics. [Work supported by the National Science Foundation, grant MEA‐8101106.]
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