A theoretical analysis of acoustic microscopy of spherical cavities

Spherical inclusion characterization by the acoustical microscope: Axisymmetric case

“…The output signal generated by the focused beam scanning of this object has been analytically obtained by Lobkis et al 21 The analytical solution was obtained only after several simplifying assumptions were made. First, the duration of the rf signal of the microscope is long enough to justify the continuous wave analysis for the scattering problem.…”

“…Here it is shown that the V(z) expression derived in Ref. 21 can be expressed in a comparatively simplified form through some mathematical manipulations. From this simplified expression we prove that different peaks of the V(z) curve appear when the focal point coincides with the solid-liquid interface, top surface of the inclusion and the center of the inclusion.…”

“…The simple ray optical theory of the V(z) curve synthesis near the top of a sphere was given by Hadjoub et al 16 Theoretical analysis of the interaction of converging acoustic beams and spherical balls in a coupling liquid show that one can accurately determine the diameter of a spherical particle from its V(z) curve. [17][18][19][20] In a recent paper Lobkis et al 21 extended this analysis to spherical cavities in a solid located below the solid-liquid interface. However, analytical expressions given in that paper are very cumbersome to solve inverse problem.…”

A New Technique for Distinguishing Internal Voids from Solid Inclusions

“…The output signal generated by the focused beam scanning of this object has been analytically obtained by Lobkis, Kundu and Zinin [14]. The analytical solution was obtained only after several simplifying assumptions were made.…”

“…The radius of the inclusion is a. The distance between the solid-liquid interface and the center of inclusion is D. Then the total output voltage V generated by the reflected signal from the liquid-solid interface and scattered waves from the inclusion, is equal to [14]:…”