Abstract
A time-domain numerical code based on the constitutive relations of nonlinear acoustics is presented. To model frequency power law attenuation, such as observed in biological media, multiple relaxation processes are included and relaxation parameters are fitted to both exact frequencypower law attenuation and empirically measured attenuation data of a variety of tissues. A computational technique based on artificial relaxation is included to correct the non-negligible numerical dispersion of the numerical method and to improve stability when shock waves are present. This technique avoids the use of high-order finite-difference schemes, leading to fast calculations. The accuracy of the method is discussed by comparison with analytical and k-space numerical solutions, and also to focused beam experimental data.
BibTeX citation
@other{phdc7,
author = {Noé Jiménez},
pages = {191-228},
title = {Chapter 7 - Time-Domain Nonlinear Acoustic Wave Modelling of Soft-Tissue Media},
year = {2015}
}