Skip to main content

On the Use of the Second-Order Acoustic Nonlinearity Parameter B/A for Ultrasonic Tissue Characterization

  • Chapter
Ultrasonic Tissue Characterization

Abstract

The nonlinear character of nature is for instance reflected in the fact that the fundamental mechanisms of sound propagation in liquid media are nonlinear (1). Nevertheless, a linearization of the governing equations has in a number of cases led to mathematically less complicated expressions with solutions showing surprisingly good agreement with experimental results. However, experimental evidence is now accumulating indicating that a linear treatment is not always sufficient for an exhaustive description of for instance ultrasonic wave propagation in biological media (2,3). In spite of the fact that earlier works showed no intensity dependence for ultrasonic attenuation in tissue, recent and more careful studies have proven the existence of intensity dependent attenuation as well as the formation of higher harmonics to finite-amplitude monochromatic waves in biological liquids and tissues (4,5, 6,7). The ultrasonic wave distortion course leading to the formation of the higher harmonics is due to two main sources, the material nonlinearity of the medium being expressed by the nonlinear character of its equation of state and the convection nonlinearity expressed by the fact that the local particle velocity is a function of the local pressure amplitude in the wave. Since the high frequency components of an ultrasonic wave are absorbed more readily than are the lower frequency components, the effective absorption of the distorted wave is greater than the absorption of a monochromatic wave of the fundamental frequency.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Bjørnø, L. (1976): Nonlinear Acoustics in: R.W.B. Stephens & H.G. Leventhal (Eds.) Acoustics and Vibration Progress, Vol. 2, Chapman & Hall Publishers, London.

    Google Scholar 

  2. Muir, T.G. and Carstensen, E.L. (1980): Prediction of nonlinear acoustic effects at biomedical frequencies and intensities. Ultrasound Med. Biol., 6, 345–357.

    Article  PubMed  CAS  Google Scholar 

  3. Carstensen, E.L., Law, W.K., McKay, N.D. and Muir, T.G. (1980): Demonstration of nonlinear acoustical effects at biomedical frequencies and intensities. Ultrasound Med. Biol., 6, 359–368.

    Article  PubMed  CAS  Google Scholar 

  4. Goss, S.A. and Fry, F.J. (1981): Nonlinear acoustic behaviour in focused ultrasonic fields: Observation of intensity dependent absorption in biological tissue. IEEE Trans, on Sonics & Ultrasonics, SU-28, (1), 21–26.

    Google Scholar 

  5. Law, W.K., Frizzell, L.A. and Dunn, F. (1981): Ultrasonic determination of the nonlinearity parameter B/A for biological media. J. Acoust. Soc. Am., 69, 1210–1212.

    Article  Google Scholar 

  6. Carstensen, E.L., Becroft, S.S., Law, W.K. and Barbee, D.B. (1981): Finite amplitude effects as the threshold for lesion production in tissues by unfocused ultrasound. J. Acoust. Soc. Am., 70, 302–309.

    Article  Google Scholar 

  7. Dunn, F., Law, W.K. and Frizzell, L.A. (1981): Nonlinear ultrasonic wave propagation in biological materials. Proc. of 1981 IEEE Ultrasonics Symposium, Chigago, Oct. 1981.

    Google Scholar 

  8. Fubini, G.E. (1935): Anomalie nella propagazione di onde acustiche di grande ampezza. Alta Frequenza, 530–536.

    Google Scholar 

  9. Thuras, A.L., Jenkins, R.T. and O’Neil, H.T. (1935): Extraneous frequencies generated in air carrying intense sound waves. J. Acoust. Soc. Am., 6, 173–180.

    Article  Google Scholar 

  10. Bjørnø, L. (1981): A study of the transition from linear to nonlinear wave propagation in gas-filled tubes. Proc. of Ultrasonics International 1981, 199–204, IPC Science and Technology Press Ltd., Guilford, UK.

    Google Scholar 

  11. Keck, W. and Beyer, R.T. (1960): Frequency spectrum of finite-amplitude ultrasonic waves in liquids. Phys. Fluids, 3, 346–350.

    Article  Google Scholar 

  12. Bjørnø, L. (1977): Finite-amplitude wave propagation through water- saturated marine sediments. Acustica, 38, 195–200.

    Google Scholar 

  13. Beyer, R.T. (1960): Parameter of nonlinearity in fluids. J. Acoust. Soc. Am., 32, 719–723.

    Article  Google Scholar 

  14. Rudnick, I. (1958): On the attenuation of finite-amplitude waves in a liquid. J. Acoust. Soc. Am., 30. 564–569.

    Article  Google Scholar 

  15. Lewin, P.A. (1981): Calibration and performance evaluation of miniature ultrasonic hydrophones using Time Delay Spectrometry. Proc. of 1981 IEEE Ultrasonics Symposium. Chigago, Oct. 1981.

    Google Scholar 

  16. Ingemto, F. and Williams, A.O. (1971): Calculation of second-harmonic generation in a piston beam. J. Acoust. Soc. Am., 49, 319–328.

    Article  Google Scholar 

  17. Lewin, P.A. and Bjørnø, L. (1981): for rectified diffusion in gaseous Acoust. Soc. Am., 69, 846–852.

    Article  CAS  Google Scholar 

  18. Lewin, P.A. and Bjørnø, L. (1981): Acoustically induced shear stresses tissue in the vicinity of microbubbles in tissue. J. Acoust. Soc. Am. (in press)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1982 Martinus Nijhoff Publishers, The Hague, Boston, London

About this chapter

Cite this chapter

Bjørnø, L., Lewin, P.A. (1982). On the Use of the Second-Order Acoustic Nonlinearity Parameter B/A for Ultrasonic Tissue Characterization. In: Thijssen, J.M., Nicholas, D. (eds) Ultrasonic Tissue Characterization. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-7666-5_8

Download citation

  • DOI: https://doi.org/10.1007/978-94-009-7666-5_8

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-009-7668-9

  • Online ISBN: 978-94-009-7666-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics