The scanning acoustic microprobe: I. Analysis and synthesis of a spherically symmetric point spread function

The scanning acoustic microprobe is a novel system which probes and characterizes, from a limited acoustic window, the fine-scale structural features of an object, point-by-point, using a multiplicity of acoustic pulses all aimed and focused at that point. Spherically symmetric, three-dimensional Gaussian pulses are synthesized to measure the backscatter diffraction pattern of the least-resolvable volume of scatterers centered at the point in question. The size and distribution of the scattering volume is forced to be constant, independent of frequency and angle. This method is analytically simple, compared with other pulse-echo techniques, and is applicable to scatterers ranging continuously in size from Rayleigh scatterers to specular reflectors. This is the first of a number of papers describing the development and application of systems based on these concepts. The analytical principles will be described herein for examination of one point at a time. In a companion paper appearing in this issue [F. E. Barber, J. Acoust. Soc. Am. 90, 11-19 (1991)], application to measurement and characterization of a discrete, flat, circular "piston" will be presented. Application to human tissue imaging and tissue characterization will be described in a subsequent third paper. The primary features detected experimentally are the strength of nondirective patterns, and the strength, orientation, and directivity of angle-dependent echo functions associated with planar or layered structures. Fine-scale structural features of a scattering center are obtained either by pattern recognition in k(data) space or inverse Fourier transformation. It is shown that when the bandwidth criteria are met to produce a spherically symmetric point spread function, scattering phenomena are completely described by only two parameters, namely the center frequency of the pulse-echo system and the characteristic diameter of the Gaussian point spread function.