Publication Details

Modeling nonlinear ultrasound propagation in heterogeneous media with power law absorption using a k-space pseudospectral method

TREEBY Bradley E., JAROŠ Jiří, RENDELL Alistair P. and COX Ben T. Modeling Nonlinear Ultrasound Propagation in Heterogeneous Media with Power Law Absorption using a k-space Pseudospectral Method. Journal of the Acoustical Society of America, vol. 131, no. 6, 2012, pp. 4324-4336. ISSN 1520-8524.
Type
journal article
Language
english
Authors
Treeby Bradley E. (ANU)
Jaroš Jiří, doc. Ing., Ph.D. (DCSY FIT BUT)
Rendell Alistair P. (ANU)
Cox Ben T. (UCL)
Keywords

ultrasound, k-space, pseudospectral method, absorption, heterogeneous medium

Abstract

The simulation of nonlinear ultrasound propagation through tissue realistic media has a wide range of practical applications. However, this is a computationally difficult problem due to the large size of the computational domain compared to the acoustic wavelength. Here, the k-space pseudospectral method is used to reduce the number of grid points required per wavelength for accurate simulations. The model is based on coupled first-order acoustic equations valid for nonlinear wave propagation in heterogeneous media with power law absorption. These are derived from the equations of fluid mechanics and include a pressure-density relation that incorporates the effects of nonlinearity, power law absorption, and medium heterogeneities. The additional terms accounting for convective nonlinearity and power law absorption are expressed as spatial gradients making them efficient to numerically encode. The governing equations are then discretized using a k-space pseudospectral technique in which the spatial gradients are computed using the Fourier-collocation method. This increases the accuracy of the gradient calculation and thus relaxes the requirement for dense computational grids compared to conventional finite difference methods. The accuracy and utility of the developed model is demonstrated via several numerical experiments, including the 3D simulation of the beam pattern from a clinical ultrasound probe.

Published
2012
Pages
4324-4336
Journal
Journal of the Acoustical Society of America, vol. 131, no. 6, ISSN 1520-8524
Book
The Journal of the Acoustical Society of America
Publisher
American Institute of Physics for the Acoustical Society of America
DOI
UT WoS
000309133500024
EID Scopus
BibTeX
@ARTICLE{FITPUB10069,
   author = "E. Bradley Treeby and Ji\v{r}\'{i} Jaro\v{s} and P. Alistair Rendell and T. Ben Cox",
   title = "Modeling nonlinear ultrasound propagation in heterogeneous media with power law absorption using a k-space pseudospectral method",
   pages = "4324--4336",
   booktitle = "The Journal of the Acoustical Society of America",
   journal = "Journal of the Acoustical Society of America",
   volume = 131,
   number = 6,
   year = 2012,
   ISSN = "1520-8524",
   doi = "10.1121/1.4712021",
   language = "english",
   url = "https://www.fit.vut.cz/research/publication/10069"
}
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