On the influence of manufacturing inaccuracies of the structural elements of a piezoelectric transducer on the duration of an acoustic probing pulse

The purpose of the research is  to determine determine  the duration of acoustic signals emitted by a piezoelectric transducer with small deviations (increase or decrease) in the thickness of the matching layer and its specific acoustic resistance from the optimal values. 
Methods. The object of the study is plate-type piezoelectric transducers loaded onto an water medium. The calculation was performed using  the equivalent circuit method of piezoelectric  transducers and  the spectral method based on Fourier transforms. The equivalent circuit method is used to determine the frequency characteristics of piezoelectric transducers. For an electrical excitation pulse of a specific shape, its spectral function is determined using the direct Fourier transform. The type of the probing acoustic pulse is found using the inverse Fourier transform. Based on the analysis of the pulsed operating mode of piezoelectric transducers, the dependences of the probing signal durations on the optimal values of the wave thickness of the matching layer and its specific acoustic resistance are determined.  
Results. Based on the analysis of the operation of piezoelectric transducers, the main causes of violation of the identity of their properties are  identified. For different degrees of damping of  the piezoelectric  transducer, the shapes of the probing signals radiated into water are determined. The effect of inaccuracies in the manufacture of the layer on the  duration of the probing signal is assessed. The duration of acoustic signals emitted by a piezoelectric  transducer  is determined with small deviations (increase or decrease) in the thickness of the matching layer and its specific acoustic resistance from the optimal values. 
Conclusion. The obtained results are intended to assess the quality of blanks of structural elements of piezoelectric transducers during their manufacture in small batches, when errors in maintaining the thickness of the matching layer and the value of its specific acoustic resistance are inevitable both within one batch and between batches.  

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