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

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26230%2F20%3APU138653" target="_blank" >RIV/00216305:26230/20:PU138653 - isvavai.cz</a>

Výsledek na webu

<a href="https://asa.scitation.org/doi/full/10.1121/10.0002177" target="_blank" >https://asa.scitation.org/doi/full/10.1121/10.0002177</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1121/10.0002177" target="_blank" >10.1121/10.0002177</a>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

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

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Projekt

<a href="/cs/project/LQ1602" target="_blank" >LQ1602: IT4Innovations excellence in science</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2020

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Journal of the Acoustical Society of America

ISSN

0001-4966

e-ISSN

1520-8524

Svazek periodika

148

Číslo periodika v rámci svazku

4

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

13

Strana od-do

2288-2300

Kód UT WoS článku

000586470800001

EID výsledku v databázi Scopus

2-s2.0-85094683129