Determination of B/A of Biological Media by Measuring and Modeling Nonlinear Distortion of Pulsed Acoustic Wave in Two-Layer System of Media

  • T. Kujawska
  • J. Wójcik
  • A. Nowicki
Conference paper
Part of the Acoustical Imaging book series (ACIM, volume 30)


Knowledge of the acoustic nonlinearity parameter, B/A, of biological fluids or soft tissues is necessary whenever high intensity pressure fields are induced. A numerical model recently developed in our lab is capable of fast predicting the nonlinear distortion of pulsed finite-amplitude acoustic waves generated from axisymmetric sources propagating through multilayer attenuating media. Quantitative analysis of the obtained results enabled developing the alternative method for determination of the B/A of biological media. First, the method involves measuring the nonlinear waveform distortion of the tone burst propagating through water. Then, it involves numerical modeling (in frequency domain) using the Time-Averaged Wave Envelope (TAWE) approach. The numerical simulation results are fitted to the experimental data by adjusting the source boundary conditions to determine accurately the source pressure, effective radius and apodization function being the input parameters to the numerical solver. Next, the method involves measuring the nonlinear distortion of idem tone burst passing through the two-layer system of parallel media. Then, we numerically model nonlinear distortion in two-layer system of media in frequency domain under experimental boundary conditions. The numerical simulation results are fitted to the experimental data by adjusting the B/A value of the tested material. Values of the B/A for 1.3-butanediol at both the ambient (25°C) and physiological (36.6°C) temperatures were determined. The obtained result (B/A = 10.5 ± 5% at 25°C) is in a good agreement with that available in literature. The B/A = 11.5 ± 5% at 36.6°C was determined.


Nonlinearity parameter measurement B/A Nonlinear propagation Biological media PVDF membrane hydrophone 



This work was supported in part by the Ministry of Science and Higher Education (Grant Nr N N518 402734).


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Copyright information

© Springer Science+Business Media B.V. 2011

Authors and Affiliations

  • T. Kujawska
    • 1
  • J. Wójcik
    • 1
  • A. Nowicki
    • 2
  1. 1.Institute of Fundamental Technological Research Polish Academy of SciencesWarsawPoland
  2. 2.Polish Academy of SciencesInstitute of Fundamental Technological ResearchWarsawPoland

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