### ASA 127th Meeting M.I.T. 1994 June 6-10

## 2pPA14. Analytical and numerical solutions of the ``General Theory
Scattering for the Scattering of Sound by Sound'' in several useful limits.

**Harvey C. Woodsum
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*Sonetech Corp., 47 Constitution Dr., Bedford, NH 03110
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Integral equations which form the basis of ``A General Theory for the
Scattering of Sound by Sound'' [H. C. Woodsum and P. J. Westervelt, J. Sound
Vib. 76(2), 179--186 (1981)] have been solved in several useful limits. In the
case of the parametric array, the theory is shown to reduce in the appropriate
limit to the models of Blue as well as Berktay and Leahy, as corrected by
Mellen and Moffett [J. Acoust. Soc. Am. 60, 581--583 (1976)]. In the case of
intersecting sound beams, the theory is shown to agree with predictions by
Westervelt, as well as recent experimental results on the nonscattering of
sound by sound [R. Roy and J. Wu, in Proceedings of the 13th International
Symposium on Nonlinear Acoustics, edited by H. Hob(ae ligature)k (Elsevier
Science, London, 1993)]. A by-product of the theory is a useful parametric
array model for arbitrary primary field geometries; numerical results are
presented which are compared to the computer model of Mellen and Moffett.