Open AccessStudy of nonlinear acoustic field of high intensity focused ultrasound by the fractional wave
Author(s) -
Sun Jian-Ming,
Jie Yu,
Xiaojun Guo,
Dong Zhang
Publication year - 2013
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.62.054301
Subject(s) - attenuation , acoustics , acoustic wave equation , dispersion (optics) , acoustic attenuation , sound intensity , physics , nonlinear system , wave equation , field (mathematics) , acoustic wave , computational physics , optics , sound (geography) , mathematics , quantum mechanics , pure mathematics
The acoustic energy distribution of high intensity focused ultrasound (HIFU) is influenced by the attenuation and the dispersion of the biological tissue. In this paper we modify the KZK equation according to the fractional wave equation, in order to accurately describe the sound field of HIFU. The theoretical and experimental studies of frequency dependences of attenuation and sound speed examine the validity of the fractional wave equation. Furthermore, the numerical simulation of HIFU field is performed using the modified KZK equation. The results demonstrate that the introduction of the fractional derivative equation could solve the problems of the attenuation and sound dispersion, leading to the accuracy improvement of HIFU therapy.