Abstract

The solution of the wave equation for a homogeneous solid sphere in a liquid medium subject to an incident plane acoustic wave has been computed for diameter-to-wavelength ratios up to about 100. The radial stress in the solid is calculated and compared to the pressure in the equivalent liquid sphere, i.e., one in which the dilational wave velocity and the density are the same as those of the solid. The results show that the shear wave can, under the proper conditions, interact with the dilational wave in such a manner as to improve the focusing properties of a focusing sphere. The problem of determining these “proper conditions” is discussed.

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