The fast technique for calculation of ultrasonic field of rectangular transducer

Abstract

The need for fast calculation technique of ultrasonic field of rectangular transducer is related to design of cylindrical transducer arrays for medical applications. These transducer arrays are 10mm diameter, approximately 5mm length and consist of 16-32 rectangular elements. In order to determine optimal parameter transducer array it is needed to investigate what can be “seen” under different conditions with each type of transducer array. As the total ultrasonic field of cylindrical array is the sum of the field created by the separate elements the key part of the model becomes calculation of the ultrasonic field of rectangular transducer. There are many works devoted to the calculation of the ultrasonic fields of the transducers possessing different contour of active surface.
In the work present there are proposed fast modification of the diffraction based technique for calculation of the ultrasonic field of rectangular transducer. It was show that the velocity potential can be calculated only in the plane of transducer. The velocity potential and pressure field in other point are calculated using interpolation. The application of the adaptive sampling in time domain enables essentially increase calculation time and at the keep necessary accuracy.