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Tractable calculation of the Green's tensor for shear wave propagation in an incompressible, transversely isotropic material.

Publication ,  Journal Article
Rouze, NC; Palmeri, ML; Nightingale, KR
Published in: Physics in medicine and biology
January 2020

Assessing material properties from observations of shear wave propagation following an acoustic radiation force impulse (ARFI) excitation is difficult in anisotropic materials because of the complex relations among the propagation direction, shear wave polarizations, and material symmetries. In this paper, we describe a method to calculate shear wave signals using Green's tensor methods in an incompressible, transversely isotropic (TI) material characterized by three material parameters. The Green's tensor is written as the sum of an analytic expression for the SH propagation mode, and an integral expression for the SV propagation mode that can be evaluated by interpolation within precomputed integral functions with an efficiency comparable to the evaluation of a closed-form expression. By using parametrized integral functions, the number of required numerical integrations is reduced by a factor of 102-109 depending on the specific problem under consideration. Results are presented for the case of a point source positioned at the origin and a tall Gaussian source similar to an ARFI excitation. For an experimental configuration with a tilted material symmetry axis, results show that shear wave signals exhibit structures that are sufficiently complex to allow measurement of all three material parameters that characterize an incompressible, TI material.

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Published In

Physics in medicine and biology

DOI

EISSN

1361-6560

ISSN

0031-9155

Publication Date

January 2020

Volume

65

Issue

1

Start / End Page

015014

Related Subject Headings

  • Shear Strength
  • Nuclear Medicine & Medical Imaging
  • High-Energy Shock Waves
  • Finite Element Analysis
  • Electromagnetic Phenomena
  • Elasticity Imaging Techniques
  • Anisotropy
  • Algorithms
  • 5105 Medical and biological physics
  • 1103 Clinical Sciences
 

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Rouze, N. C., Palmeri, M. L., & Nightingale, K. R. (2020). Tractable calculation of the Green's tensor for shear wave propagation in an incompressible, transversely isotropic material. Physics in Medicine and Biology, 65(1), 015014. https://doi.org/10.1088/1361-6560/ab5c2d
Rouze, Ned C., Mark L. Palmeri, and Kathryn R. Nightingale. “Tractable calculation of the Green's tensor for shear wave propagation in an incompressible, transversely isotropic material.Physics in Medicine and Biology 65, no. 1 (January 2020): 015014. https://doi.org/10.1088/1361-6560/ab5c2d.
Rouze NC, Palmeri ML, Nightingale KR. Tractable calculation of the Green's tensor for shear wave propagation in an incompressible, transversely isotropic material. Physics in medicine and biology. 2020 Jan;65(1):015014.
Rouze, Ned C., et al. “Tractable calculation of the Green's tensor for shear wave propagation in an incompressible, transversely isotropic material.Physics in Medicine and Biology, vol. 65, no. 1, Jan. 2020, p. 015014. Epmc, doi:10.1088/1361-6560/ab5c2d.
Rouze NC, Palmeri ML, Nightingale KR. Tractable calculation of the Green's tensor for shear wave propagation in an incompressible, transversely isotropic material. Physics in medicine and biology. 2020 Jan;65(1):015014.
Journal cover image

Published In

Physics in medicine and biology

DOI

EISSN

1361-6560

ISSN

0031-9155

Publication Date

January 2020

Volume

65

Issue

1

Start / End Page

015014

Related Subject Headings

  • Shear Strength
  • Nuclear Medicine & Medical Imaging
  • High-Energy Shock Waves
  • Finite Element Analysis
  • Electromagnetic Phenomena
  • Elasticity Imaging Techniques
  • Anisotropy
  • Algorithms
  • 5105 Medical and biological physics
  • 1103 Clinical Sciences