Ing. Jiří Jaroš, Ph.D.

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. The Journal of the Acoustical Society of America. 2012, vol. 2012, no. 131, pp. 4324-4336. ISSN 1520-8524.
Publication language:english
Original title:Modeling nonlinear ultrasound propagation in heterogeneous media with power law absorption using a k-space pseudospectral method
Title (cs):Modelování nelineárního šíření ultrazvuku v heterogenním prostředí pomocí k-space pseudospektrální metody
Pages:4324-4336
Book:The Journal of the Acoustical Society of America
Place:US
Year:2012
Journal:The Journal of the Acoustical Society of America, Vol. 2012, No. 131, US
ISSN:1520-8524
Files: 
+Type Name Title Size +Last modified
icon2012-Treeby-JASA.pdfModeling nonlinear ultrasound propagation3,59 MB2012-06-24 10:55:45
^ Select all
With selected:
Keywords
ultrasound, k-space, pseudospectral method, absorption, heterogeneous medium
Annotation
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.
BibTeX:
@ARTICLE{
   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 = {The Journal of the Acoustical Society of America},
   volume = {2012},
   number = {131},
   year = {2012},
   ISSN = {1520-8524},
   language = {english},
   url = {http://www.fit.vutbr.cz/research/view_pub.php?id=10069}
}

Your IPv4 address: 54.224.43.96
Switch to IPv6 connection

DNSSEC [dnssec]