Detail publikace

Nonlinear ultrasound simulation in an axisymmetric coordinate system using a k-space pseudospectral method

TREEBY, B. WISE, E. KUKLIŠ, F. JAROŠ, J. COX, B.

Originální název

Nonlinear ultrasound simulation in an axisymmetric coordinate system using a k-space pseudospectral method

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

angličtina

Originální abstrakt

A full-wave model for nonlinear ultrasound propagation through a heterogeneous and absorbing medium in an axisymmetric coordinate system is developed. The model equations are solved using a non-standard or k-space pseudospectral time domain (PSTD) method. Spatial gradients in the axial direction are calculated using the Fourier collocation spectral method and in the radial direction using discrete trigonometric transforms. Time integration is performed using a k-space corrected finite difference scheme. This scheme is exact for plane waves propagating linearly in the axial direction in a homogeneous and lossless medium, and significantly reduces numerical dispersion in the more general case. The implementation of the model is described, and performance benchmarks are given for a range of grid sizes. The model is validated by comparison with several analytical solutions. This includes 1D absorption and nonlinearity, the pressure field generated by plane-piston and bowl transducers, and the scattering of a plane wave by a sphere. The general utility of the model is then demonstrated by simulating nonlinear transcranial ultrasound using a simplified head model.

Klíčová slova

k-Wave, ultrasound, axisymmetric coordinates, pseudospectral method, discrete trigonometric transforms

Autoři

TREEBY, B.; WISE, E.; KUKLIŠ, F.; JAROŠ, J.; COX, B.

Vydáno

1. 10. 2020

ISSN

1520-8524

Periodikum

Journal of the Acoustical Society of America

Ročník

148

Číslo

4

Stát

Spojené státy americké

Strany od

2288

Strany do

2300

Strany počet

13

URL

https://asa.scitation.org/doi/full/10.1121/10.0002177

BibTex

@article{BUT168162,
  author="Bradley {Treeby} and Elliott {Wise} and Filip {Kukliš} and Jiří {Jaroš} and Ben {Cox}",
  title="Nonlinear ultrasound simulation in an axisymmetric coordinate system using a k-space pseudospectral method",
  journal="Journal of the Acoustical Society of America",
  year="2020",
  volume="148",
  number="4",
  pages="2288--2300",
  doi="10.1121/10.0002177",
  issn="1520-8524",
  url="https://asa.scitation.org/doi/full/10.1121/10.0002177"
}