Spherical inclusion characterization by the acoustical microscope: Axisymmetric case

Abstract

In this paper it is shown how one can obtain the diameter and depth of a solid spherical inclusion in a solid half-space directly from the location of the peaks of its V(z) curve. Simplified expressions of V(z) curves presented in this paper have been experimentally verified by generating V(z) curves of a spherical inclusion in pure epoxy. The inclusion diameter and depth are predicted from the experimentally generated V(z) curves. Experimental predictions are found to be very close to the true values; errors associated with all predictions are less than a few percent.

A New Technique for Distinguishing Internal Voids from Solid Inclusions

“…3. Similar result were obtained theoretically in previous works for the image of spherical particles [16] and V(z) curves for voids and inclusions in elastic solids [17]. Absence of the oscillations in the experimental phase-frequency curves is due to the fact that for an acoustic microscope lens the amplitude of the paraxial ray is much greater than the edge rays.…”