One of the methods for calibrating of piezoelectric ultrasonic transducers is the self-reciprocity method. In this approach, a reference acoustic reflector is installed in the medium opposite to the transducer. The transducer is used to emit an ultrasonic pulse and also to receive the corresponding reflected signal (pulse-echo mode). From the comparison of the characteristics of the electrical signal at the stages of radiation and reception, the efficiency of the electroacoustic conversion is found and, thereby, the transducer is calibrated. It is most simple to carry out such calibration in the approximation of plane waves. In practice, however, this condition is violated, which can lead to significant errors. To increase the accuracy of the method, it is necessary to construct a numerical model describing the diffraction divergence of the emitted acoustic beam and the non-ideality of its reflection from the reflector. The construction of such a model is the subject of this work.
43.38.Fx Piezoelectric and ferroelectric transducers
43.30.Zk Experimental modeling
$^1$Department of Acoustics, Faculty of Physics, Lomonosov Moscow State University