Ultrasonic transducers with concentric annular ring electrodes can be used to generate various circularly symmetric acoustic field profiles. These transducers can also electronically simulate a circular phased array and generate a focused ultrasonic beam. A model which predicts the acoustic transducer output for a given scaled voltage input has been developed. Several transducers have been designed using this model. Special attention has been given to the unique case of the two-dimensional radially Gaussian amplitude profile. Fabrication techniques for these transducers have been developed and are discussed. A microprocessor-based data acquisition system is described which will characterize the two-dimensional transducer profile as well as the propagation profile along one radial axis. Example tests of some of these transducers are presented. / M.S.