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.
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References
Bjørnø, L. (1976): Nonlinear Acoustics in: R.W.B. Stephens & H.G. Leventhal (Eds.) Acoustics and Vibration Progress, Vol. 2, Chapman & Hall Publishers, London.
Muir, T.G. and Carstensen, E.L. (1980): Prediction of nonlinear acoustic effects at biomedical frequencies and intensities. Ultrasound Med. Biol., 6, 345–357.
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.
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.
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.
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.
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.
Fubini, G.E. (1935): Anomalie nella propagazione di onde acustiche di grande ampezza. Alta Frequenza, 530–536.
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.
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.
Keck, W. and Beyer, R.T. (1960): Frequency spectrum of finite-amplitude ultrasonic waves in liquids. Phys. Fluids, 3, 346–350.
Bjørnø, L. (1977): Finite-amplitude wave propagation through water- saturated marine sediments. Acustica, 38, 195–200.
Beyer, R.T. (1960): Parameter of nonlinearity in fluids. J. Acoust. Soc. Am., 32, 719–723.
Rudnick, I. (1958): On the attenuation of finite-amplitude waves in a liquid. J. Acoust. Soc. Am., 30. 564–569.
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.
Ingemto, F. and Williams, A.O. (1971): Calculation of second-harmonic generation in a piston beam. J. Acoust. Soc. Am., 49, 319–328.
Lewin, P.A. and Bjørnø, L. (1981): for rectified diffusion in gaseous Acoust. Soc. Am., 69, 846–852.
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)
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© 1982 Martinus Nijhoff Publishers, The Hague, Boston, London
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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
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DOI: https://doi.org/10.1007/978-94-009-7666-5_8
Publisher Name: Springer, Dordrecht
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