Treeby, BE;
Wise, ES;
Kuklis, F;
Jaros, J;
Cox, BT;
(2020)
Nonlinear ultrasound simulation in an axisymmetric coordinate system using a k-space pseudospectral method.
The Journal of the Acoustical Society of America
, 148
(4)
pp. 2288-2300.
10.1121/10.0002177.
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Abstract
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 nonstandard or k-space pseudospectral time domain method. Spatial gradients in the axial direction are calculated using the Fourier collocation spectral method, and spatial gradients in the radial direction are calculated 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 one-dimensional 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.
| Type: | Article |
|---|---|
| Title: | Nonlinear ultrasound simulation in an axisymmetric coordinate system using a k-space pseudospectral method |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1121/10.0002177 |
| Publisher version: | https://doi.org/10.1121/10.0002177 |
| Language: | English |
| Additional information: | This version is the version of record. For information on re-use, please refer to the publisher’s terms and conditions. |
| Keywords: | Optical absorption, Partial differential equations, Acoustical properties, Wave model, Spectral methods, Wave mechanics, Discrete cosine transforms, Discrete variable representation, Ultrasound, Vector fields |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Med Phys and Biomedical Eng |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10113321 |
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