Study of nonlinear acoustic field of high intensity focused ultrasound by the fractional wave

被引：3
|
作者：
Sun Jian-Ming [1 ]
Yu Jie [1 ,2 ]
Guo Xia-Sheng [1 ]
Zhang Dong [1 ]
机构：
[1] Nanjing Univ, Minist Educ, Inst Acoust, Key Lab Modern Acoust, Nanjing 210093, Jiangsu, Peoples R China
[2] Tradit Chinese Med Hosp Jiangsu Prov, Nanjing 210029, Jiangsu, Peoples R China
来源：
ACTA PHYSICA SINICA | 2013年 / 62卷 / 05期
基金：
中国国家自然科学基金;
关键词：
fractional derivative; attenuation; dispersion; HIFU; FREQUENCY POWER-LAW; MEDIA; ATTENUATION; MODELS; SURGERY; VISCOELASTICITY; EQUATIONS; PULSES;
D O I：
10.7498/aps.62.054301
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
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.
引用
收藏
页数：6
相关论文
共 24 条
  • [1] A THEORETICAL BASIS FOR THE APPLICATION OF FRACTIONAL CALCULUS TO VISCOELASTICITY
    BAGLEY, RL
    TORVIK, PJ
    [J]. JOURNAL OF RHEOLOGY, 1983, 27 (03) : 201 - 210
  • [2] BAMBER J C, 1977, Ultrasound in Medicine and Biology, V3, P15, DOI 10.1016/0301-5629(77)90116-8
  • [3] Fractional Laplacian time-space models for linear and nonlinear lossy media exhibiting arbitrary frequency power-law dependency
    Chen, W
    Holm, S
    [J]. JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 2004, 115 (04): : 1424 - 1430
  • [4] Modified Szabo's wave equation models for lossy media obeying frequency power law
    Chen, W
    Holm, S
    [J]. JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 2003, 114 (05): : 2570 - 2574
  • [5] Cheng J C, 2003, ACOUSTIC PRINCIPLE, P567
  • [6] Shear Wave Spectroscopy for In Vivo Quantification of Human Soft Tissues Visco-Elasticity
    Deffieux, Thomas
    Montaldo, Gabriel
    Tanter, Mickael
    Fink, Mathias
    [J]. IEEE TRANSACTIONS ON MEDICAL IMAGING, 2009, 28 (03) : 313 - 322
  • [7] Feasibility of magnetic resonance imaging-guided focused ultrasound surgery as an adjunct to tamoxifen therapy in high-risk surgical patients with breast carcinoma
    Gianfelice, D
    Khiat, A
    Boulanger, Y
    Amara, M
    Belblidia, A
    [J]. JOURNAL OF VASCULAR AND INTERVENTIONAL RADIOLOGY, 2003, 14 (10) : 1275 - 1282
  • [8] Acoustic dispersion and attenuation measurement using both transmitted and reflected pulses
    He, P
    Zheng, J
    [J]. ULTRASONICS, 2001, 39 (01) : 27 - 32
  • [9] Nonlinear distortion and attenuation of intense acoustic waves in lossy media obeying a frequency power law
    Kashcheeva, SS
    Sapozhnikov, OA
    Khokhlova, VA
    Averkiou, MA
    Crum, LA
    [J]. ACOUSTICAL PHYSICS, 2000, 46 (02) : 170 - 177
  • [10] Fractal ladder models and power law wave equations
    Kelly, James F.
    McGough, Robert J.
    [J]. JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 2009, 126 (04): : 2072 - 2081
123