I would like to review today the work that we have been doing in the Mechanics Department at Cornell in studying the scattering of ultrasonic pulses by a cylindrical inclusion. A large portion of this work has been supported by the National Science Foundation through a grant to the Materials Science Center at Cornell. This work is the result of a very close interaction between the theoretical studies that have been made by Professor Pao, his students and his associates, and the experimental work that has been done by my students and myself. The first results I will describe have previously been reported in several publications while the later work is taken from the dissertation of Bifulco and a forthcoming publication.