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231224s2012 xx |||||o 00| ||eng c |
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|a 10.1109/TUFFC.2012.2372
|2 doi
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|a eng
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|a Jing, Yun
|e verfasserin
|4 aut
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|a A k-space method for moderately nonlinear wave propagation
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|c 2012
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|a Text
|b txt
|2 rdacontent
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|a ƒaComputermedien
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|2 rdamedia
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|a ƒa Online-Ressource
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|a Date Completed 17.12.2012
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|a Date Revised 21.10.2021
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|a published: Print
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|a Citation Status PubMed-not-MEDLINE
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|a A k-space method for moderately nonlinear wave propagation in absorptive media is presented. The Westervelt equation is first transferred into k-space via Fourier transformation, and is solved by a modified wave-vector time-domain scheme. The present approach is not limited to forward propagation or parabolic approximation. One- and two-dimensional problems are investigated to verify the method by comparing results to analytic solutions and finite-difference time-domain (FDTD) method. It is found that to obtain accurate results in homogeneous media, the grid size can be as little as two points per wavelength, and for a moderately nonlinear problem, the Courant-Friedrichs-Lewy number can be as large as 0.4. Through comparisons with the conventional FDTD method, the k-space method for nonlinear wave propagation is shown here to be computationally more efficient and accurate. The k-space method is then employed to study three-dimensional nonlinear wave propagation through the skull, which shows that a relatively accurate focusing can be achieved in the brain at a high frequency by sending a low frequency from the transducer. Finally, implementations of the k-space method using a single graphics processing unit shows that it required about one-seventh the computation time of a single-core CPU calculation
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|a Journal Article
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|a Research Support, N.I.H., Extramural
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|a Wang, Tianren
|e verfasserin
|4 aut
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| 700 |
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|a Clement, Greg T
|e verfasserin
|4 aut
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| 773 |
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|i Enthalten in
|t IEEE transactions on ultrasonics, ferroelectrics, and frequency control
|d 1986
|g 59(2012), 8 vom: 24. Aug., Seite 1664-73
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|x 1525-8955
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|g year:2012
|g number:8
|g day:24
|g month:08
|g pages:1664-73
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