Chapter 2
Numerical Modeling for Assessment and Design of Ultrasound Vibroacoustography Systems


Ultrasound vibroacoustography is a new medical imaging technique that relies on the nonlinear interaction of high-frequency fields to produce a low-frequency acoustic emission. Combining the resolution obtained by using a high-frequency focused source with the clean (free of artifacts from multiple scattering) images obtained with low-frequency fields yields a clearer image of abnormal tissue than does traditional ultrasound. A modeling strategy for this imaging modality is presented that overcomes the traditional difficulties in modeling over the range of frequencies present in these experiments. Through a combination of appropriate approximations and exact methods, it is possible to obtain images that capture the basic structure of experimental data despite the use of a simplified physical model.

  • Abstract
  • 2.1 Introduction
  • 2.2 Mathematical Model
  • 2.3 Numerical Model
  • 2.3.1 High-Frequency Propagation — Parabolic Approximation
  • 2.3.2 Low-Frequency Wavefield — Surface Integral Method
  • 2.3.3 Three-Dimensional Volume Integral Approach
  • 2.3.4 Interaction Term — Direct Calculation
  • 2.4 Preliminary Results
  • 2.5 Summary
  • References

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