Time-Varying Nonlinear Diffraction Tomography—A New Form of Acoustical Imaging

  • W. S. Gan
Part of the Acoustical Imaging book series (ACIM, volume 26)

Abstract

The present harmonic imaging commercialised in the market is based on the nonlinear distortion of finite-amplitude ultrasonic waves when traveling through real media and this manifests itself in the frequency domain as the appearance of additional harmonic signals at integer multiples of the original frequency. Our paper deals with the interaction of two sound waves in solids or human tissues giving rise to a third sound wave formed which is a second harmonic of original frequency. This can lead to the determination of the third order elastic (TOE) constants of the human tissues and shows the possibility of a new form of elasticity imaging.

Keywords

Attenuation Soliton Triad 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    L.K. Zarembo and V.A.Krasil’nikov,Nonlinear phenomena in the propagation of elastic waves,Sov.Phys.Usp.13,778–797(1971)CrossRefGoogle Scholar
  2. 2.
    N.C. Freeman,A two dimensional distributed soliton solution of the Korteweg-de Vries equation,Proc.R.Soc.Lond.A366,185–204(1979)Google Scholar
  3. 3.
    A.K. Agranovich and V.A. Marchenko,The Inverse Problem of Scattering Theory (Gordon and Breach, London,1963).Google Scholar
  4. 4.
    H. Levine and J. Schwinger, On the theory of diffraction by an aperture in an infinite plane screen. I.Phys. Rev.74,958–974(1948)CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 2002

Authors and Affiliations

  • W. S. Gan
    • 1
  1. 1.209-212 Innovation CentreAcoustical Technologies Singapore Pte LtdSingapore

Personalised recommendations