Archives of Acoustics, 24, 3, pp. 269-288, 1999

Computing and measuring nonlinear and linear propagation by two independent methods

L. Filipczyński
Polish Academy of Sciences, Institute of Fundamental Technological Research, Department of Ultrasound
Poland

T. Kujawska
Polish Academy of Sciences, Institute of Fundamental Technological Research, Department of Ultrasound
Poland

W. Secomski
Polish Academy of Sciences, Institute of Fundamental Technological Research, Department of Ultrasound
Poland

R. Tymkiewicz
Polish Academy of Sciences, Institute of Fundamental Technological Research, Department of Ultrasound
Poland

J. Wójcik
Polish Academy of Sciences, Institute of Fundamental Technological Research, Department of Ultrasound
Poland

Nonlinear effects, caused by propagation of ultrasonic pulses with finite amplitudes, were computed and measured in water in the case of pulses with pressures up to 1.5MPapp used in diagnostic devices. An electronic transmitter generated high (280Vpp) and low (47Vpp) voltages, applied to a plane PZT transducer causing in this way nonlinear and linear propagation effects. The carrier frequency of the pulse was 2MHz, while its time duration was 2.5\,ms. The measurements were carried out by means of a typical calibrated PVDF membrane hydrophone and by an electromagnetic (EM) hydrophone, prepared for this study. The pulse measurements by means of the PVDF hydrophone showed a higher number of spectral components than those by means of the EM hydrophone. This effect was explained by sensitivity characteristics that increased in the PVDF and decreased in the EM hydrophone as a function of frequency. Previously, it was shown that the effective frequency band used in measurements by means of the PVDF hydrophone is situated below the resonance, on the increasing slope of the resonanse curve. The properties of the EM hydrophone were analysed on the basis of the plane wave assumption. A procedure was developed to correct distortions of the pulse spectrum and its pressure measured by PVDF and EM hydrophones. In the first case the maximum peak-to-peak pulse pressure should be decreased by 27%, while in the second case it should be increased by only 0.7%, and by 3% if an additional amplifier was used. The sensitivities of PVDF and EM hydrohones were very different and equal for the frequency of 2MHz to 28mV/MPa and 0.10mV/MPa, respectively. The calibration of the EM hydrophone was carried out by means of only two simple: electrical and magnetic independent measurements, although in the EM hydrophone there occured external interferring signals. For the theoretic-numerical detemination of the acoustic fields and their spectra generated in the case of nonlinear and linear propagation the numerical procedure called the WJ Code was applied. It was developed recently by the last-named author of this paper. In calculations absorption in water was taken into account. The critical distance, where distortions caused by nonlinear propagation in water were maximum, was determined by a number of computations of the ultrasonic field as a function of the distance from the transducer. A good agreement between computed results and those measured by two different methods, showing the pulse pressure distribution along the whole beam axis, was confirmed. In this case it was shown that the λ/4 matching layer covering the transducer surface influenced the edge wave radiated by the transducer.
Keywords: ultrasound, nonlinear propagation, pulses, diagnostics, hydrophone.
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