Abstract
This work present a model of nonlinear acoustics in relaxing media and its numerical solution by means of finite differences. An efficient implementation of the numerical method is presented avoiding convolutional operators. Thus, by optimizing a pair of relaxing parameters the method present attenuation frequency response that fits a power law experimental data for most biological tissues. In this way, is possible to obtain arbitrary frequency dependent attenuation and dispersion in order to model complex heterogeneous media. Furthermore, due to the generalized formulation, typical processes can be modeled as the molecular relaxation observed in air and in sea water.
BibTeX citation
@inproceedings{Jimenez2013a,
author = {Noé Jiménez and Javier Redondo and Víctor Sánchez-Morcillo and Francisco Camarena},
booktitle = {Tecniacústica 2013: 44º Congreso Español de Acústica y Encuentro Ibérico de Acústica. Valladolid, Spain. 2 - 4 October},
doi = {http://www.sea-acustica.es/fileadmin/Valladolid13/ULT-0_008.pdf},
editor = {Conference proceedings},
month = {10},
organization = {Sociedad Española de Acústica},
pages = {1632-1637},
series = {Oral},
title = {Ondas acústicas de amplitud finita en medios con relajación: aplicación a la modelización de tejidos biológicos},
url = {http://www.sea-acustica.es/index.php?id=667},
year = {2013}
}