Abstract
Recently, Westervelt [J. Acoust. Soc. Am. Suppl. 1 88, S167 (1990)] has developed an analytical treatment of the transient parametric array that is valid for both far field and near field, for arbitrary taper function and arbitrary modulation of the primary wave. The result was previously shown to be consistent in the far field with results of P. Stepanishen [J. Acoust. Soc. Am. 82 (1987)]. The analysis is based on earlier work in general relativity by Westervelt [Acta Phys. Pol. 27, 831–841 (1965)]. Here, a useful numerical treatment of the same problem is presented. A computer model for this numerical formulation has been implemented, and results have been obtained to compare with Westervelt's analytical results. Comparison is also made between numerical results and relevant experimental data found in the literature.
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