3-D FDTD simulation of shear waves for evaluation of complex modulus imaging

Marko Orescanin, Yue Wang, Michael F. Insana

Research output: Contribution to journalArticlepeer-review


The Navier equation describing shear wave propagation in 3-D viscoelastic media is solved numerically with a finite differences time domain (FDTD) method. Solutions are formed in terms of transverse scatterer velocity waves and then verified via comparison to measured wave fields in heterogenous hydrogel phantoms. The numerical algorithm is used as a tool to study the effects on complex shear modulus estimation from wave propagation in heterogeneous viscoelastic media. We used an algebraic Helmholtz inversion (AHI) technique to solve for the complex shear modulus from simulated and experimental velocity data acquired in 2-D and 3-D. Although 3-D velocity estimates are required in general, there are object geometries for which 2-D inversions provide accurate estimations of the material properties. Through simulations and experiments, we explored artifacts generated in elastic and dynamic-viscous shear modulus images related to the shear wavelength and average viscosity.

Original languageEnglish (US)
Article number5716456
Pages (from-to)389-398
Number of pages10
JournalIEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control
Issue number2
StatePublished - Feb 2011


  • Finite difference methods
  • Frequency measurement
  • Mathematical model
  • Needles
  • Phantoms
  • Solid modeling
  • Time domain analysis

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Acoustics and Ultrasonics
  • Instrumentation


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