Estimation of frequency characteristics of the Tonpilz piezoelectric transducer with a bending piezoelectric disk

A Tonpilz piezoelectric transducer which has a bending piezoelectric disk on the radiation surface for widening the frequency band to improve sonar detection performance in shallow water has been proposed. Variance of transmitting voltage response of this transducer depend on the phase difference between signals which applies to the ring-stack and the bending-disk piezoelectric resonators. Thus, an estimation of an optimal phase difference, which can be applied for obtaining the maximum value of transmitting voltage response, is important factor to assemble sonar array with sonar transducers. In this paper, we applied three methods to estimate transmitting voltage response at an arbitrary phase difference from a few measurements, and the estimation errors of those methods affected by internal impedances of power sources and/or noise are investigated to select the best method. The effectiveness of the best method was verified by water-pool experiments.