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One-dimensional computer simulation of a wave incident on randomly distributed inhomogeneities with reference to the scattering of ultrasound by blood

  • Medical Physics and Imaging
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Abstract

To further the understanding of the complex problem of scattering of ultrasound by blood the authors present a computer simulation of a simpler onedimensional analogue. Blood is modelled as a row of scatterers of constant thickness, separated by random intervals with a sinusoidal wave incident upon the row. The variation of backscattered power with haematocrit follows qualitatively that found experimentally by other workers for a suspension of erythrocytes in plasma. The model also indicates a large standard deviation of backscattered power analogous to that observed in blood.

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References

  • Angelsen, B. A. J. (1980) Theoretical study of the scattering of ultrasound by blood.IEEE Trans.,BME-27, 61–67.

    Google Scholar 

  • Atkinson, P. andBerry, M. V. (1974) Random noise in ultrasonic echoes diffracted by blood.J. Phys. A.,7, 1293–1302.

    Article  Google Scholar 

  • Atkinson, P. andWoodcock, J. P. (1982)Doppler ultrasound and its use in clinical measurement. Academic Press, London.

    Google Scholar 

  • Carstensen, E. L., Li, K. andSchwann, H. P. (1953) Determination of the acoustic properties of blood and its components.J. Acoust. Soc. Am.,25, 286–289.

    Article  Google Scholar 

  • Evans, J. M., Skidmore, R. andWells, P. N. T. (1986) A new technique to measure blood flow using Doppler ultrasound.Physics in Med. Ultrasound IPSM Report,47, 141–144.

    Google Scholar 

  • Hoeks, A. P. G., Ruissen, C. J., Hick, P. andReneman, R. S. (1985) Transcutaneous detection of relative changes in artery diameter.Ultrasound in Med. & Biol.,11, 51–59.

    Article  Google Scholar 

  • Hottinger, C. F. andMeindl, J. D. (1979) Blood flow measurements using the attenuation compensated volume flowmeter.Ultrasonic Imag.,1, 1–15.

    Article  Google Scholar 

  • Mo, L. Y. L. andCobbold, S. C. (1986) A stochastic model of the backscattered Doppler ultrasound from blood.IEEE Trans.,BME-33, 20–27.

    Google Scholar 

  • Morse, P. M. andIngard, K. U. (1968)Theoretical acoustics. McGraw-Hill, New York.

    Google Scholar 

  • Parzen, E. (1962)Stochastic processes. Holden-Day, San Francisco, 135.

    MATH  Google Scholar 

  • Shung, K. K., Sigelmann, R. A. andReid, J. M. (1976) Scattering of ultrasound by blood.IEEE Trans.,BME-23, 460–467.

    Google Scholar 

  • Shung, K. K., Sigelmann, R. A. andReid, J. M. (1977) Angular dependence of scattering of ultrasound from blood. —Ibid.,,BME-24, 325–331.

    Google Scholar 

  • Shung, K. K. (1982) On the ultrasound scattering from blood as a function of hematocrit. —Ibid.,,SU-29, 327–331.

    Google Scholar 

  • Twersky, V. (1975) Transparency of pair-correlated, random distributions of small scatterers, with applications to the cornea.J. Opt. Soc. Am.,65, 524–530.

    Article  Google Scholar 

  • Williams, R. P. (1986) On the relationship between velocity distribution and power spectrum of scattered radiation in Doppler ultrasound measurements of moving suspensions.Ultrasonics,24, 197–200.

    Article  Google Scholar 

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Routh, H.F., Gough, W. & Williams, R.P. One-dimensional computer simulation of a wave incident on randomly distributed inhomogeneities with reference to the scattering of ultrasound by blood. Med. Biol. Eng. Comput. 25, 667–671 (1987). https://doi.org/10.1007/BF02447336

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  • DOI: https://doi.org/10.1007/BF02447336

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