Analysis of boundaries’ effects in the evaluation of transient ultrasonic fields scattered by a rigid reflector

Abstract

One approach used to estimate the transient field scattered by a target with a known dimension and geometry is the convolution method. In the hypothesis of linear acoustic, and for a perfectly rigid reflector immersed in an isotropic, homogeneous, and lossless fluid, the detected acoustic pressure is expressed in the form of a time convolution between the radiator velocity profile and the transmit-receive impulse response. This last depends on the geometry of the transducer, the target, their relative position, and physical characteristics of the propagation medium. For that purpose, some simulations were done. The pressure waveform is explained in terms of the plane and edge waves. In order to determine the boundaries’ effects on the detected pressure, targets of different size were used. The obtained results show that the edge waves were insignificant when large size targets are used.